Solution 
Problem: differentiate e^x*cos(x) [ Calculator, Method and examples ]
Solution: Your problem `>` differentiate e^x*cos(x)
`d/(dx)(e^(x)cos(x))`
`=(d/(dx)(e^(x)))cos(x)+e^(x)(d/(dx)(cos(x)))`
`=(e^(x))cos(x)+e^(x)(sin(x))`
`=e^(x)cos(x)e^(x)sin(x)`

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1. Polynomial addition  (x^312*x^242)+(x^2+x3)  2. Polynomial subtraction  (x^312*x^242)(x^2+x3)  3. Polynomial multiplicaiton  (x^312*x^242)*(x^2+x3)  4. long division (x^4+6x^2+2)/(x^2+5)  5. Synthetic division (3x^32x^2+3x4)/(x3)  6. Ascending order 2x^2+3x^3+3x4  7. Descending order 2x^2+3x^3+3x4  8. Degree of polynomial 3x^32x^2+3x4  9. Degree 3x^32x^2+3x4  10. Leading Term 3x^32x^2+3x4  11. Leading Coefficient 3x^32x^2+3x4  12. Is Polynomial x^24x^24  13. Determine if Polynomial x^24x^24  14. Find roots 7x^328x^2+28x56  15. Find zeros 7x^328x^2+28x56  16. reduce (x^3+5*x+2*x^2+10)/(x+2)  17. simplify (x^3+5*x+2*x^2+10)/(x+2)  18. solve 2x+5=9  19. evaluate 3x+8 for x=9  20. evaluate 4y+x for y=2,x=3  21. 2x+5=9  22. 4y+x, y=2,x=3  23. Rational expression  (2x+8)/(3x+1)(x+4)/(7x+1)  24. Polynomial  factor x^23x+2  25. Polynomial  expand (x+3)(x+2)  26. Polynomial  expand 102^2  27. complete the square 3x^2+5x+4  28. is perfect square x^2+4x+4  29. Perfect square trinomial  missing first term 12x^2+9  30. Perfect square trinomial  missing middle term x^2+4  31. Perfect square trinomial  missing last term x^2+4*x  32. Polynomial  HCF (2X^24X),(3X^412X^2),(2X^52X^44X^3)  33. Polynomial  GCF (2X^24X),(3X^412X^2),(2X^52X^44X^3)  34. Polynomial  GCD (2X^24X),(3X^412X^2),(2X^52X^44X^3)  35. Polynomial  LCM (2X^24X),(3X^412X^2),(2X^52X^44X^3)  36. Quadratic Equation  x^25x+6=0  37. Quadratic Equation  Discriminant and Nature of Roots x^25x+3=0  38. Quadratic Equation  Discriminant x^25x+3=0  39. Quadratic Equation  find quadratic equation, roots alpha=3, beta=4  40. Roots of NonQuadratic Equation  (x^2+1/x^2)8(x+1/x)+14=0  41. Roots of NonQuadratic Equation  (x^2+1/x^2)8(x1/x)+14=0  42. Quadratic Equation  (x)/(x+1)+(x+1)/(x)=5/2  43. Quadratic Equation  4((4x+1)/(4x1))^(2)+(4x+1)/(4x1)=3  44. Quadratic Equation  (4x+1)/(4x1)+(4x1)/(4x+1)=3  45. Solve linear equations  7y+2x=11,3xy=5  46. Solve linear equations  Substitution 7y+2x=11,3xy=5  47. Solve linear equations  Elimination 7y+2x=11,3xy=5  48. Solve linear equations  Cross Multiplication 7y+2x=11,3xy=5  49. Solve linear equations  Addition subtraction 7y+2x=11,3xy=5  50. Solve linear equations  Graphical 7y+2x=11,3xy=5  51. Solve linear equations  Inverse matrix 7y+2x=11,3xy=5  52. Solve linear equations  Cramer's Rule 7y+2x=11,3xy=5  53. Solve linear equations  Gauss Elimination 7y+2x=11,3xy=5  54. Solve linear equations  Gauss Jordan Elimination 7y+2x=11,3xy=5  55. Solve linear equations  Gauss Elimination Back Substitution 7y+2x=11,3xy=5  56. Solve linear equations  Gauss Seidel 7y+2x=11,3xy=5  57. Solve linear equations  Gauss Jacobi 7y+2x=11,3xy=5  58. Solve linear equations  Elimination x+y+z=9,2x+yz=0,2x+5y+7z=52  59. Solve linear equations  lu decomposition 7y+2x=11,3xy=5  60. Solve linear equations  Crout's method 7y+2x=11,3xy=5  61. Solve linear equations  cholesky decomposition 25x+15y5z=35,15x+18y+0z=33,5x+0y+11z=6  62. Variation  x prop y and x=4 when y=2. Find y when x=18  63. Variation  x prop 1/y^3 and x=16 when y=12. Find y when x=54  64. Variation  x prop y^3/z and x=8 when y=4, z=3. Find x when y=6, z=4  65. Variation  If 5x7y prop 6x+3y then prove that x prop y  66. Variation  If x prop y then prove that x^3+y^3 prop x^2yxy^2  67. Expansion  If x+1/x=2 then find x1/x  68. Expansion  If x+y=5 and xy=6, then find x^2+y^2  69. Expansion  If x+y+z=9 and x^2+y^2+z^2=29, then find xy+yz+zx  70. interval notation x<=5, x in N  71. interval notation x^21 < 10,x in Z  72. interval notation 1< x<7, x is even  73. Set theory  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A union B  74. Set theory  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A intersect B  75. Set theory  Complement  A={x<=5, x in N}, B={2<=x<=8, x in N}, U={1<=x<=10, x in N}, find (A union B)' = A' intersect B'  76. Set theory  Power set(Proper Subset)  A={x<=5, x in N}, find P(A)  77. Set theory  Difference  A={x<=5, x in N}, B={2<=x<=8, x in N}, find AB  78. Set theory  Symmetric difference  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A delta B  79. Set theory  Cross Product  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A cross B  80. Set theory  A={x<=5, x in N}, B={3<=x<=7, x in N}, C={1<=x<=3, x in N}, find A union (B union C) = (A union B) union C  81. Set theory  Cardinality  A={x<=5, x in N}, find A  82. Set theory  A={x<=5, x in N}, find 1 belongsto A  83. Set theory  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A subset B  84. Set theory  is equal set  A={x<=5, x in N}, B={2<=x<=8, x in N}, find A = B  85. Function  f(x)=2x+3,g(x)=x^2+5, Find f(g(x))  86. Function  f(x)=4x+1, g(x)=2x3, Find gof(2)  87. Function  f(x)=4x+1, g(x)=2x3, Find (f+g)(2)  88. Function  f(x)=4x+1, g(x)=2x3, Find (fg)(x)  89. Function  f(x)=4x+1, g(x)=2x3, Find (f*g)(x)  90. Function  f(x)=x^2y^2, g(x)=xy, Find (f/g)(x)  91. Function  f(x)=2x+3, f(x+2)  92. Function  f(x)=x^22^x, Find f(2)f(0)  93. Function  f(x)=4x+1, g(x)=2x3, Find f(2)g(3)  94. Function  f(x)=2x+3, A={x<=5, x in N}, Find range  95. Function  f(x)=2x+3, A={1,2,3}, Find range  96. Descartes rule x^3+3x^2+3x+1  97. Ratio and proportion  duplicate ratio 2:3  98. Ratio and proportion  triplicate ratio 2:3  99. Ratio and proportion  subduplicate ratio 16:25  100. Ratio and proportion  subtriplicate ratio 8:27  101. Ratio and proportion  compounded ratio 2:3,3:4,4:5  102. Ratio and proportion  mean proportional 8,32  103. Ratio and proportion  third proportional 16,36  104. Ratio and proportion  fourth proportional 3,7,15  105. Ratio and proportion  compare ratios 2:3,3:4  106. In ratio and proportion, if a:b:c=2:3:5 then find (a^2+b^2+c^2)/(ab+bc+ca)  107. In ratio and proportion, if x:30=12:20, then find x  108. In ratio and proportion, if a/b=2/3, then find (2a3b)/(a2b)  109. In ratio and proportion, if 2a=3b=7c, then find a:b:c  110. In ratio and proportion, if a:b=2:3,b:c=4:5, then find a:b:c  111. In ratio and proportion, if a/b=c/d=e/f then prove that (2a+3c4e)/(2b+3d4f)=(5a4c+3e)/(5b4d+3f)  112. In ratio and proportion, if x/(b^2c^2)=y/(c^2a^2)=z/(a^2b^2) then prove that x+y+z=0  113. In ratio and proportion, if x/(y+z)=y/(z+x)=z/(x+y) then prove each ratio = 1/2 or 1  114. In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,1  115. Ratio and proportion  geometric mean 4x^3, 9x  116. Ratio and proportion  if geometric mean 18 and x is 12, find value of x  117. Partial Fraction (5x4)/(x^2x2)  118. log(3,5)*log(25,27)  119. log(x)+log(1+x)=0  120. long addition  315+432  121. long subtraction  315432  122. long multiplication  315*432  123. long division 25/30  124. simplify 25/30  125. simplify 2/33/2+1/4  126. place value of 2 in 12345  127. roman 10  128. isprime 37  129. 5th prime  130. primes between 1 and 100  131. Number to word  pronounce 43210  132. Number to word  spell 43210  133. Determine the type of number 25, 3.76  134. Determine if Rational 25, 3.76  135. factors 45  136. prime factors 45  137. all factors 45  138. divisors 45  139. GCF 20,30,100  140. HCF 20,30,100  141. GCD 20,30,100  142. LCM 20,30,100  143. HCF by long division 20,30,100  144. LCM by long division 20,30,100  145. leap year 2010  146. leap year 2010,2020  147. decimal to fraction 0.3535  148. fraction to decimal 1/2  149. reduce fraction 4/8  150. decimal to scientific 0.008  151. scientific to decimal 8*10^3  152. mixed to improper fraction 3 1/24  153. improper to mixed fraction 27/24  154. round off 35463.15365 at 1 decimal place  155. modulo  14 mod 3  156. compare fraction 3/4,5/6  157. ascending order 1/2,2/3,1/4  158. descending order 1/2,2/3,1/4  159. LCD 1/2,3/4,5/6  160. Reciprocal 7/6  161. square  216^2  162. cube  216^3  163. power  216^4  164. square root 25  165. cube root 27  166. square root long division 25  167. cube root long division 27  168. 5th root 32  169. Complementary angle 30  170. Supplementary angle 30  171. Reference angle 30  172. Quadrant of angle 30  173. Divisibility rules  is 156 divisible by 2  174. Divisibility rules  is 156 divisible by 3  175. Series  next term 3,6,18,72  176. Series  next 2 term 3,6,18,72  177. Series  3,6,18,72,...  178. angle to degree 67.245  179. Length Conversion 10 Kilometers to Meters  180. Speed Conversion 10 Kilometers/Hour to Meters/Second  181. Power Conversion 19 Horsepower to Watts  182. Temperature Conversion 19 C to F  183. Mass Conversion 15 Kilograms to Grams  184. Volume Conversion 17 Liters to Milliliters  185. Money Conversion 5 Rupees to Paise  186. Time Conversion 30 Days to Minutes  187. Degree Conversion 15 Radian to Degree  188. percentage to decimal  84% to decimal  189. percentage to fraction  5% to fraction  190. fraction to percentage  3/4 to percent  191. decimal to percentage  0.25 to percent  192. Power  5^50  193. Factorial  10!  194. Permutation nPr  5p2  195. Combination nCr  5c2  196. Permutation  How many words can be formed from the letters of the word daughter?  197. permutations of {a, b, c, d}  198. permutations without repetition of {a, b, c, d}  199. permutations with repetition of {a, b, c, d}  200. Combinations without repetition of {a, b, c, d}  201. Combinations with repetition of {a, b, c, d}  202. binary addition  binary 10101+011  203. binary subtraction  binary 10101011  204. binary multiplication  binary 10101*011  205. binary division  binary 10101/011  206. octal addition  octal 654+461  207. octal subtraction  octal 654461  208. octal multiplication  octal 654*461  209. octal division  octal 654/4  210. hexadecimal addition  hexadecimal BAC+AB  211. hexadecimal subtraction  hexadecimal BACAB  212. hexadecimal multiplication  hexadecimal BAC*AB  213. hexadecimal division  hexadecimal BAC/AB  214. Other base addition  7 base 604+461  215. Other base subtraction  7 base 604461  216. Other base multiplication  7 base 604*461  217. Other base division  7 base 604/4  218. Conversion  decimal to binary 65  219. Conversion  decimal to octal 65  220. Conversion  decimal to hexadecimal 65  221. Conversion  decimal to 7 base 65  222. Conversion  binary to octal 1101101  223. Conversion  binary to decimal 1101101  224. Conversion  binary to hexadecimal 1101101  225. Conversion  binary to 7 base 1101101  226. Conversion  octal to binary 765  227. Conversion  octal to decimal 765  228. Conversion  octal to hexadecimal 765  229. Conversion  octal to 7 base 765  230. Conversion  hexadecimal to binary a10  231. Conversion  hexadecimal to octal a10  232. Conversion  hexadecimal to decimal a10  233. Conversion  hexadecimal to 7 base a10  234. Conversion  7 base to binary 615  235. Conversion  7 base to octal 615  236. Conversion  7 base to decimal 615  237. Conversion  7 base to hexadecimal 615  238. Conversion  7 base to 12 base 615  239. Conversion  binary to gray code 11101  240. Conversion  gray code to binary 11101  241. Tables  Addition table / Chart  242. Multiplication table / Chart  243. Roman Numerals Generator  244. Table of Squares Generator  245. Table of Cubes Generator  246. Power table Generator  247. Factorial table Generator  248. Number system conversion table  249. Sine  sin(x) table Generator  250. Cosine  cos(x) table Generator  251. Tangent  tan(x) table Generator  252. Sine, Cosine, Tangent table Generator  253. Area formula  254. Volume formula  255. Polynomial  Factors formula  256. pythagorean ab=3,bc=4,ac  257. pythagoras ab=3,ac=5,bc  258. Volume  for cuboid Length=3,Breadth=4 and Height=5. Find Volume  259. Volume  for cube Length=3. Find Volume  260. Volume  for cylinder Radius=3 and Height=10. Find Volume  261. Volume  for cone Radius=3 and Slant Height=5. Find Volume  262. Volume  for sphere Radius=3. Find Volume  263. Volume  for HemiSphere Radius=3. Find Volume  264. Area  for circle Radius=7. Find Area  265. Area  for SemiCircle Radius=7. Find Area  266. Area  for Regular Hexagon Side=10. Find Area  267. Area  for square Side=10. Find Area  268. Area  for rectangle Length=5 and Breadth=12. Find Area  269. Area  for parallelogram a=9,b=22 and h=14. Find Area  270. Area  for rhombus d1=10 and d2=24. Find Area  271. Area  for trapezium a=22,b=18,c=16,d=16 and h=4. Find Area  272. Area  for scalene triangles a=3,b=4 and c=5. Find Area  273. Area  for rightangle triangles AB=5 and BC=12. Find Area  274. Area  for equilateral triangles Side=6. Find Area  275. Area  for isoceles triangles a=5 and b=6. Find Area  276. Area  for sector and segment Radius=14 and angle of measure=90. Find length of arc  277. maximum and minimum value of y=x^39x^2+24x+2  278. maximum and minimum value of y=4x^3+19x^214x+3  279. Derivative  differentiate e^x*cos(x)  280. Derivative  differentiate x/cos(x)  281. Derivative  differentiate (cos(x^3))^2  282. Derivative  derivative of x^4 sin x  283. Derivative  second derivative of sin(2x) wrt x  284. Derivative  d/dx(sin(2x))  285. Derivative  d^3/dx^3(sin(2x))  286. Trigonometry  sin(30)*cos(60)+sin(30)*cos(60)  287. Trigonometry  (sin^4(x)cos^4(x))/(sin^2(x)cos^2(x))  288. Trigonometry  cot(x)+tan(x)=sec(x)csc(x)  289. Trigonometry  If sin(x)=5/13 then find others  290. Trigonometry  If sin(x)=5/13 then find other trig values in Quadrant III  291. Trigonometry  If sin(x)=5/13 then find cos(x),tan(x),csc(x),sec(x),cot(x)  292. Trigonometry  If sin(x)=5/13 then find cos(x)csc(x)+tan(x)sec(x)  293. Ungrouped data  Arithmetic mean {12,17,20}  294. Ungrouped data  Geometric mean {12,17,20}  295. Ungrouped data  Harmonic mean {12,17,20}  296. maximum of {85,96,76,108,85,80,100,85,70,95}  297. minimum of {85,96,76,108,85,80,100,85,70,95}  298. sum {1,2,3,2,3,6}  299. length {1,2,3,2,3,6}  300. range {1,2,3,2,3,6}  301. arrange ascending order {85,96,76,108,85,80,100,85,70,95}  302. arrange descending order {85,96,76,108,85,80,100,85,70,95}  303. sort {85,96,76,108,85,80,100,85,70,95}  304. sort desc {85,96,76,108,85,80,100,85,70,95}  305. reverse sort {85,96,76,108,85,80,100,85,70,95}  306. reverse {85,96,76,108,85,80,100,85,70,95}  307. midrange {1,2,3,2,3,6}  308. interquartile range {1,2,3,2,3,6}  309. interdecile range {1,2,3,2,3,6}  310. interpercentile range {1,2,3,2,3,6}  311. quartile deviation {1,2,3,2,3,6}  312. coefficient of quartile deviation {1,2,3,2,3,6}  313. percentile deviation {1,2,3,2,3,6}  314. coefficient of percentile deviation {1,2,3,2,3,6}  315. decile deviation {1,2,3,2,3,6}  316. coefficient of decile deviation {1,2,3,2,3,6}  317. create a gropued frequency distribution table {77,40,85,82,98,93,66,78,94,50,57}  318. less than type cumulative frequency table {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  319. less than type cumulative frequency table {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  320. more than type cumulative frequency table {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  321. more than type cumulative frequency table {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  322. class and their frequency table {{below 20, below 40, below 60, below 80, below 100},{5,10,25,32,40}}  323. class and their frequency table {{less than 20, less than 40, less than 60, less than 80, less than 100},{5,10,25,32,40}}  324. class and their frequency table {less than 20  5, less than 40  10, less than 60  25, less than 80  32, less than 100  40}  325. class and their frequency table {more than 55  5, more than 50  17, more than 45  39, more than 40  43, more than 35  49, more than 30  49, more than 25  51}  326. class and their frequency table {below 20  5, below 40  10, below 60  25, below 80  32, below 100  40}  327. class and their frequency table {above 55  5, above 50  17, above 45  39, above 40  43, above 35  49, above 30  49, above 25  51}  328. Ungrouped data  mean {85,96,76,108,85,80,100,85,70,95}  329. Ungrouped data  median {85,96,76,108,85,80,100,85,70,95}  330. Ungrouped data  mode {1,2,3,2,3,6}  331. Ungrouped data  Variance {85,96,76,108,85,80,100,85,70,95}  332. Ungrouped data  Standard deviation {85,96,76,108,85,80,100,85,70,95}  333. Ungrouped data  coefficient of variation {85,96,76,108,85,80,100,85,70,95}  334. Ungrouped data  Population Variance {1,2,3,2,3,6}  335. Ungrouped data  Population Standard Deviation {1,2,3,2,3,6}  336. Ungrouped data  Population coefficient of variation {1,2,3,2,3,6}  337. Ungrouped data  Sample Variance {1,2,3,2,3,6}  338. Ungrouped data  Sample Standard Deviation {1,2,3,2,3,6}  339. Ungrouped data  Sample coefficient of variation {1,2,3,2,3,6}  340. Ungrouped data  quartiles of {1,2,3,2,3,6}  341. Ungrouped data  1 quartiles of {1,2,3,2,3,6}  342. Ungrouped data  4 deciles of {1,2,3,2,3,6}  343. Ungrouped data  15 percentiles of {1,2,3,2,3,6}  344. Ungrouped data  skewness {85,96,76,108,85,80,100,85,70,95}  345. Ungrouped data  kurtosis {85,96,76,108,85,80,100,85,70,95}  346. Ungrouped data  Sample skewness {85,96,76,108,85,80,100,85,70,95}  347. Ungrouped data  Sample kurtosis {85,96,76,108,85,80,100,85,70,95}  348. Ungrouped data  Population skewness {85,96,76,108,85,80,100,85,70,95}  349. Ungrouped data  Population kurtosis {85,96,76,108,85,80,100,85,70,95}  350. Grouped data  mean {{10,11,12,13,14},{3,12,18,12,3}}  351. Grouped data  mean {{10,3},{11,12},{12,18},{13,12},{14,3}}  352. Grouped data  mean {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  353. Grouped data  mean {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  354. Mixed data  mean {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  355. Mixed data  mean {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  356. Grouped data  median {{10,11,12,13,14},{3,12,18,12,3}}  357. Grouped data  median {{10,3},{11,12},{12,18},{13,12},{14,3}}  358. Grouped data  median {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  359. Grouped data  median {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  360. Mixed data  median {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  361. Mixed data  median {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  362. Grouped data  mode {{10,11,12,13,14},{3,12,18,12,3}}  363. Grouped data  mode {{10,3},{11,12},{12,18},{13,12},{14,3}}  364. Grouped data  mode {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  365. Grouped data  mode {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  366. Mixed data  mode {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  367. Mixed data  mode {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  368. Grouped data  Variance {{10,11,12,13,14},{3,12,18,12,3}}  369. Grouped data  Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}  370. Grouped data  Variance {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  371. Grouped data  Variance {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  372. Mixed data  Variance {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  373. Mixed data  Variance {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  374. Grouped data  Standard deviation {{10,11,12,13,14},{3,12,18,12,3}}  375. Grouped data  Standard deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  376. Grouped data  Standard deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  377. Grouped data  Standard deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  378. Mixed data  Standard deviation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  379. Mixed data  Standard deviation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  380. Grouped data  coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}  381. Grouped data  coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}  382. Grouped data  coefficient of variation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  383. Grouped data  coefficient of variation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  384. Mixed data  coefficient of variation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  385. Mixed data  coefficient of variation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  386. Grouped data  Population Variance {{10,11,12,13,14},{3,12,18,12,3}}  387. Grouped data  Population Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}  388. Grouped data  Population Variance {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  389. Grouped data  Population Variance {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  390. Mixed data  Population Variance {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  391. Mixed data  Population Variance {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  392. Grouped data  Population Standard Deviation {{10,11,12,13,14},{3,12,18,12,3}}  393. Grouped data  Population Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  394. Grouped data  Population Standard Deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  395. Grouped data  Population Standard Deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  396. Mixed data  Population Standard Deviation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  397. Mixed data  Population Standard Deviation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  398. Grouped data  Population coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}  399. Grouped data  Population coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}  400. Grouped data  Population coefficient of variation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  401. Grouped data  Population coefficient of variation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  402. Mixed data  Population coefficient of variation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  403. Mixed data  Population coefficient of variation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  404. Grouped data  Sample Variance {{10,11,12,13,14},{3,12,18,12,3}}  405. Grouped data  Sample Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}  406. Grouped data  Sample Variance {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  407. Grouped data  Sample Variance {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  408. Mixed data  Sample Variance {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  409. Mixed data  Sample Variance {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  410. Grouped data  Sample Standard Deviation {{10,11,12,13,14},{3,12,18,12,3}}  411. Grouped data  Sample Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  412. Grouped data  Sample Standard Deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  413. Grouped data  Sample Standard Deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  414. Mixed data  Sample Standard Deviation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  415. Mixed data  Sample Standard Deviation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  416. Grouped data  Sample coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}  417. Grouped data  Sample coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}  418. Grouped data  Sample coefficient of variation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  419. Grouped data  Sample coefficient of variation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  420. Mixed data  Sample coefficient of variation {{1,3},{2,4},{5,10},{610,23},{1020,20},{2030,20},{3050,15},{5070,3},{70100,2}}  421. Mixed data  Sample coefficient of variation {{1,2,5,610,1020,2030,3050,5070,70100},{3,4,10,23,20,20,15,3,2}}  422. Grouped data  1 quartiles of {{10,11,12,13,14},{3,12,18,12,3}}  423. Grouped data  1 quartiles of {{10,3},{11,12},{12,18},{13,12},{14,3}}  424. Grouped data  1 quartiles of {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  425. Grouped data  1 quartiles of {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  426. Grouped data  4 deciles of {{10,11,12,13,14},{3,12,18,12,3}}  427. Grouped data  4 deciles of {{10,3},{11,12},{12,18},{13,12},{14,3}}  428. Grouped data  4 deciles of {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  429. Grouped data  4 deciles of {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  430. Grouped data  15 percentiles of {{10,11,12,13,14},{3,12,18,12,3}}  431. Grouped data  15 percentiles of {{10,3},{11,12},{12,18},{13,12},{14,3}}  432. Grouped data  15 percentiles of {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  433. Grouped data  15 percentiles of {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  434. Grouped data  skewness {{61,64,67,70,73},{5,18,42,27,8}}  435. Grouped data  skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}  436. Grouped data  skewness {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  437. Grouped data  skewness {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  438. Grouped data  kurtosis {{61,64,67,70,73},{5,18,42,27,8}}  439. Grouped data  kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}  440. Grouped data  kurtosis {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  441. Grouped data  kurtosis {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  442. Grouped data  Sample skewness {{61,64,67,70,73},{5,18,42,27,8}}  443. Grouped data  Sample skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}  444. Grouped data  Sample skewness {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  445. Grouped data  Sample skewness {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  446. Grouped data  Sample kurtosis {{61,64,67,70,73},{5,18,42,27,8}}  447. Grouped data  Sample kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}  448. Grouped data  Sample kurtosis {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  449. Grouped data  Sample kurtosis {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  450. Grouped data  Population skewness {{61,64,67,70,73},{5,18,42,27,8}}  451. Grouped data  Population skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}  452. Grouped data  Population skewness {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  453. Grouped data  Population skewness {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  454. Grouped data  Population kurtosis {{61,64,67,70,73},{5,18,42,27,8}}  455. Grouped data  Population kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}  456. Grouped data  Population kurtosis {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  457. Grouped data  Population kurtosis {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  458. Grouped data  quartile deviation {{10,11,12,13,14},{3,12,18,12,3}}  459. Grouped data  quartile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  460. Grouped data  quartile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  461. Grouped data  quartile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  462. Grouped data  coefficient of quartile deviation {{10,11,12,13,14},{3,12,18,12,3}}  463. Grouped data  coefficient of quartile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  464. Grouped data  coefficient of quartile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  465. Grouped data  coefficient of quartile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  466. Grouped data  percentile deviation {{10,11,12,13,14},{3,12,18,12,3}}  467. Grouped data  percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  468. Grouped data  percentile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  469. Grouped data  percentile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  470. Grouped data  coefficient of percentile deviation {{10,11,12,13,14},{3,12,18,12,3}}  471. Grouped data  coefficient of percentile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  472. Grouped data  coefficient of percentile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  473. Grouped data  coefficient of percentile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  474. Grouped data  decile deviation {{10,11,12,13,14},{3,12,18,12,3}}  475. Grouped data  decile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  476. Grouped data  decile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  477. Grouped data  decile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  478. Grouped data  coefficient of decile deviation {{10,11,12,13,14},{3,12,18,12,3}}  479. Grouped data  coefficient of decile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}  480. Grouped data  coefficient of decile deviation {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  481. Grouped data  coefficient of decile deviation {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  482. Grouped data  Geometric mean {{61,64,67,70,73},{5,18,42,27,8}}  483. Grouped data  Geometric mean {{61,5},{64,18},{67,42},{70,27},{73,8}}  484. Grouped data  Geometric mean {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  485. Grouped data  Geometric mean {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  486. Grouped data  Harmonic mean {{61,64,67,70,73},{5,18,42,27,8}}  487. Grouped data  Harmonic mean {{61,5},{64,18},{67,42},{70,27},{73,8}}  488. Grouped data  Harmonic mean {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  489. Grouped data  Harmonic mean {{1020,2030,3040,4050,5060},{5,18,42,27,8}}  490. Statistics Graph  histogram {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  491. Statistics Graph  histogram {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  492. Statistics Graph  frequency polygon {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  493. Statistics Graph  frequency polygon {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  494. Statistics Graph  frequency curve {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  495. Statistics Graph  frequency curve {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  496. Statistics Graph  less than type cumulative frequency curve {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  497. Statistics Graph  less than type cumulative frequency curve {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  498. Statistics Graph  more than type cumulative frequency curve {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  499. Statistics Graph  more than type cumulative frequency curve {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  500. Statistics Graph  ogive {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  501. Statistics Graph  ogive {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  502. Statistics Graph  less than ogive {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  503. Statistics Graph  less than ogive {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  504. Statistics Graph  more than ogive {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  505. Statistics Graph  more than ogive {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  506. Ungrouped data  missing frequency, {18,14,15,19,15,a,12,15,16},mean=16  507. Ungrouped data  missing frequency, {9,4,a,5,8,11},median=2  508. Grouped data  missing frequency, {{510,1015,1520,2025,2530,3035},{11,20,35,20,a,6}},mean=18.1  509. Grouped data  missing frequency, {{4059,6079,8099,100119,120139},{50,?,500,?,50}},median=87.50,N=1000  510. Combined Mean, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2  511. Combined Standard deviation, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2  512. Combined Mean, Combined Standard deviation, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2  513. Ungrouped data  mean deviation {85,96,76,108,85,80,100,85,70,95}  514. Grouped data  mean deviation {{10,11,12,13,14},{3,12,18,12,3}}  515. Ungrouped data  mean deviation about mean {85,96,76,108,85,80,100,85,70,95}  516. Grouped data  mean deviation about mean {{10,11,12,13,14},{3,12,18,12,3}}  517. Grouped data  mean deviation about mean {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  518. Ungrouped data  mean deviation about median {85,96,76,108,85,80,100,85,70,95}  519. Grouped data  mean deviation about median {{10,3},{11,12},{12,18},{13,12},{14,3}}  520. Grouped data  mean deviation about median {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  521. Ungrouped data  mean deviation about mode {85,96,76,108,85,80,100,85,70,95}  522. Grouped data  mean deviation about mode {{10,3},{11,12},{12,18},{13,12},{14,3}}  523. Grouped data  mean deviation about mode {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  524. Correlation Coefficient {{10,11,12,13,14},{3,12,18,12,3}}  525. Correlation Coefficient {{10,3},{11,12},{12,18},{13,12},{14,3}}  526. Correlation Coefficient {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  527. Correlation Coefficient {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  528. Bivariate grouped data  Correlation Coefficient {{5055,5560,6065,6570},{90100,100110,110120,120130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}  529. Covariance {{10,11,12,13,14},{3,12,18,12,3}}  530. Covariance {{10,3},{11,12},{12,18},{13,12},{14,3}}  531. Covariance {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  532. Covariance {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  533. Bivariate grouped data  Covariance {{5055,5560,6065,6570},{90100,100110,110120,120130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}  534. Rank Correlation Coefficient {{35,40,42,43,40,53,54,49,41,55},{102,101,97,98,38,101,97,92,95,95}}  535. Rank Correlation Coefficient {1,6,5,10,3,2,4,9,7,8},{3,5,8,4,7,10,2,1,6,9},{6,4,9,8,1,2,3,10,5,7}  536. Regression line {{10,11,12,13,14},{3,12,18,12,3}}  537. Regression line {{10,3},{11,12},{12,18},{13,12},{14,3}}  538. Regression line {{1020,15},{2030,25},{3040,20},{4050,12},{5060,8}}  539. Regression line {{1020,2030,3040,4050,5060},{15,25,20,12,8}}  540. Bivariate grouped data  Regression line {{5055,5560,6065,6570},{90100,100110,110120,120130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}  541. Regression line xbar=39.5,ybar=47.5,SDx=10.8,SDy=15,r=0.42  542. Regression line sum x=130, sum y=220, sum x^2=2288, sum y^2=8822, sum xy=3467, n=10  543. Correlation Coefficient from regression lines 5y=9x22,20x=9y+350  544. Method of Least Squares  Fit a straight line {{1996,1997,1998,1999,2000},{40,50,62,58,60}}  545. Method of Least Squares  Fit second degree parabola equation {{1996,1997,1998,1999,2000},{40,50,62,58,60}}  546. Method of Least Squares  Fit cubic equation {{1996,1997,1998,1999,2000},{40,50,62,58,60}}  547. Method of Least Squares  Linear fit {{1996,1997,1998,1999,2000},{40,50,62,58,60}}  548. Method of Least Squares  Quadratic fit {{1996,1997,1998,1999,2000},{40,50,62,58,60}}  549. one way anova {{25,30,36,38,31},{31,39,38,42,35},{24,30,28,25,28}}  550. two way anova {{421,325,320,362},{118,102,122,56},{591,518,552,509},{14,26,20,2},{116,14,26,46}}  551. two way anova {{1,4,0,7 13,5,7,15 9,16,18,13},{15,6,10,13 6,18,9,15 14,7,6,13}}  552. Probability  In a throw of two coins, the probability of getting at least one tail is  553. Probability  3 unbiased coins are tossed, What is the probability of getting exactly 2 tails  554. Probability  In a throw of a die, the probability of getting a prime number is  555. Probability  In a throw of two dice, What is the probability getting a total of 10 or 11  556. Probability  one card is drawn at random from a pack of 52 cards. What is the probability that the card is drawn is either a red card or a king  557. Probability  two card is drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces  558. Probability  A bag contains 8 red and 5 white balls. 2 balls are drawn at random, what is the probability that both are white?  559. Probability  A bag contains 5 blue and 4 black balls. Three balls are drawn at random, what is the probability that 2 are blue and 1 is black?  560. Graph  plot y=x^2  561. Graph  plot x=y^2  562. Graph  plot 3xy>=3, 5x+4y=1  563. Graph  plot x^36x^2+4x+12  564. Graph  plot sin x + cos x  565. Graph  plot sin x,cos x,tan x  566. Graph  plot number line 2,3,5,7,11,13  567. Graph  plot points on x axis 2,3,5,7,11,13  568. Graph  plot points on y axis 2,3,5,7,11,13  569. Graph  plot points (1,2),(3,4),(5,6)  570. Graph  plot circle (x+1)^2+(y1)^2<=10  571. Graph  plot ellipse (x2)^2/25+(y+1)^2/10=1  572. Graph  plot parabola y=3(x+1)^2+1  573. Graph  plot parabola x=3(y+1)^2+1  574. Graph  plot hyperbola (x2)^2/25(y+1)^2/10>=5  575. Graph  plot polar r=2+4*cos(t)  576. Coordinate geometry  find quadrant of (1,2)  577. Coordinate geometry  distance (7,8),(1,0)  578. Coordinate geometry  slope (7,8),(1,0)  579. Coordinate geometry  midpoint (2,3) and (5,4)  580. Coordinate geometry  trisection points (2,3) and (5,4)  581. Coordinate geometry  angle between 5x+2y11=0 and 3xy+11=0  582. Coordinate geometry  Reflection of A(0,0),B(2,2),C(0,4),D(2,2)  583. Coordinate geometry  collinear A(4,1),B(2,3),C(6,7)  584. Coordinate geometry  collinear A(0,0),B(2,0),C(4,0),D(2,0)  585. Coordinate geometry  right angle triangle A(0,0),B(0,3),C(4,0)  586. Coordinate geometry  equilateral triangle A(2,5),B(8,5),C(5,10.196152)  587. Coordinate geometry  isosceles triangle A(2,2),B(2,4),C(2,6)  588. Coordinate geometry  square A(0,0),B(2,2),C(0,4),D(2,2)  589. Coordinate geometry  rectangle A(1,1),B(2,2),C(4,8),D(7,5)  590. Coordinate geometry  rhombus A(3,0),B(4,5),C(1,4),D(2,1)  591. Coordinate geometry  parallelogram A(1,5),B(1,4),C(1,3),D(1,4)  592. Coordinate geometry  centroid of a triangle whose vertices are A(4,1),B(2,3),C(6,7)  593. Coordinate geometry  circumcentre of a triangle whose vertices are A(4,1),B(2,3),C(6,7)  594. Coordinate geometry  area of a triangle whose vertices are A(4,1),B(2,3),C(6,7)  595. Coordinate geometry  Slope Intercept 7y4x+9=0  596. Coordinate geometry  Slope YIntercept 7y4x+9=0  597. Coordinate geometry  XIntercept YIntercept of 7y4x+9=0  598. Coordinate geometry  Slope XIntercept YIntercept of (3,5),(7,9)  599. Coordinate geometry  line through (5,4), slope=1/2  600. Coordinate geometry  line (3,5),(6,4)  601. Coordinate geometry  line m=2 and YIntercept=3  602. Coordinate geometry  line XIntercept=3 and YIntercept=5  603. Coordinate geometry  line through intersection point of 5x+2y11=0, 3xy+11=0, parallel to 4x3y+2=0  604. Coordinate geometry  line through intersection point of 5x+2y11=0, 3xy+11=0 and perpendicular to 4x3y+2=0  605. Coordinate geometry  line through intersection point of 2x+3y+4=0, 3x+6y8=0 and slope=2  606. Coordinate geometry  line through intersection point of 4x+5y+7=0, 3x2y12=0 and (3,1)  607. Coordinate geometry  line through (5,5) and parallel to 2x+3y+4=0  608. Coordinate geometry  line through (5,5) and perpendicular to 2x+3y+4=0  609. Coordinate geometry  line through (5,5) and parallel to line passing (1,2) and (5,2)  610. Coordinate geometry  line through (5,5) and perpendicular to line passing (1,2) and (5,2)  611. Matrix determinant  det [[10,9,12],[7,12,11],[10,10,3]]  612. Matrix adjoint  adj [[10,9,12],[7,12,11],[10,10,3]]  613. Matrix  adjugate [[1,2],[3,4]]  614. Matrix  transpose [[1,2],[3,4]]  615. Matrix  inverse [[10,9,12],[7,12,11],[10,10,3]]  616. Matrix  minor [[10,9,12],[7,12,11],[10,10,3]]  617. Matrix  cofactor [[10,9,12],[7,12,11],[10,10,3]]  618. Matrix  trace [[10,9,12],[7,12,11],[10,10,3]]  619. Matrix  Gauss Jordan Elimination inverse [[10,9,12],[7,12,11],[10,10,3]]  620. Matrix  Cayley Hamilton inverse [[10,9,12],[7,12,11],[10,10,3]]  621. Matrix addition  [[1,2],[3,4]] + [[2,1],[1,2]]  622. Matrix subtraction  [[1,2],[3,4]]  [[2,1],[1,2]]  623. Matrix multiplication  [[1,2],[3,4]] * [[2,1],[1,2]]  624. Matrix power  [[1,2],[3,4]]^2  625. Matrix addition  A=[[1,2],[3,4]], B=[[2,1],[1,2]], 2A+3B  626. Matrix power  A=[[1,2],[3,4]],A^3  627. Matrix determinant  A=[[10,9,12],[7,12,11],[10,10,3]], A^2  628. Matrix adjoint  A=[[10,9,12],[7,12,11],[10,10,3]], adj(A)  629. Matrix inverse  A=[[10,9,12],[7,12,11],[10,10,3]], A^1  630. Matrix transpose  A=[[1,2],[3,4]], A'  631. Matrix  A = [[1,2],[3,4]], B = [[2,1],[1,2]], (A * B)' = B' * A'  632. Matrix  row reduction [[8,6,2],[6,7,4],[2,4,3]]  633. Matrix  reduce [[8,6,2],[6,7,4],[2,4,3]]  634. Matrix  rank [[8,6,2],[6,7,4],[2,4,3]]  635. Matrix  characteristic polynomial [[8,6,2],[6,7,4],[2,4,3]]  636. Matrix  eigenvalues [[8,6,2],[6,7,4],[2,4,3]]  637. Matrix  eigenvectors [[8,6,2],[6,7,4],[2,4,3]]  638. Matrix  triangular [[8,6,2],[6,7,4],[2,4,3]]  639. Matrix  diagonal [[8,6,2],[6,7,4],[2,4,3]]  640. Matrix  Jordan decomposition [[8,6,2],[6,7,4],[2,4,3]]  641. Matrix  lu decomposition [[8,6,2],[6,7,4],[2,4,3]]  642. Matrix  cholesky decomposition [[6,15,55],[15,55,225],[55,225,979]]  643. Matrix  qr decomposition [[1,1,4],[1,4,2],[1,4,2],[1,1,0]]  644. Matrix  qr decomposition house holder [[1,1,4],[1,4,2],[1,4,2],[1,1,0]]  645. Matrix  lq decomposition [[1,1,4],[1,4,2],[1,4,2],[1,1,0]]  646. Matrix  pivots [[8,6,2],[6,7,4],[2,4,3]]  647. Singular Value Decomposition  SVD [[4,0],[3,5]]  648. MoorePenrose  Pseudoinverse [[4,0],[3,5]]  649. Matrix  power method for eigenvalue [[8,6,2],[6,7,4],[2,4,3]]  650. Is Row matrix [[1,2,5]]  651. Is Column matrix [[1],[2],[5]]  652. Is Square matrix [[1,2,3],[4,5,6],[7,8,9]]  653. Is Horizontal matrix [[1,2,3],[4,5,6]]  654. Is Vertical matrix [[1,2],[4,5],[7,8]]  655. Is Diagonal matrix [[1,0,0],[0,5,0],[0,0,9]]  656. Is Identity matrix [[1,0,0],[0,1,0],[0,0,1]]  657. Is Scalar matrix [[2,0,0],[0,2,0],[0,0,2]]  658. Is Null matrix [[0,0,0],[0,0,0],[0,0,0]]  659. Is lower triangle matrix [[1,0,0],[2,3,0],[4,5,6]]  660. Is upper triangle matrix [[1,2,3],[0,4,5],[0,0,6]]  661. Is Orothogonal matrix [[0,1],[1,0]]  662. Is Singular matrix [[1,1,1],[1,1,1],[1,1,1]]  663. Is Nonsingular matrix [[1,2,3],[4,5,6],[7,8,9]]  664. Is Symmetric matrix [[1,2,3],[2,5,6],[3,6,9]]  665. Is SkewSymmetric matrix [[0,2,3],[2,0,6],[3,6,0]]  666. Is Nilpotent matrix [[1,2,3],[1,2,3],[1,2,3]]  667. Is Involutary matrix [[5,8,0],[3,5,0],[1,2,1]]  668. Is Idempotent matrix [[2,2,4],[1,3,4],[1,2,3]]  669. Is Periodic matrix [[1,2,6],[3,2,9],[2,0,3]]  670. Is Positive Definite matrix [[25,15,5],[15,18,0],[5,0,11]]  671. decide types of matrix  Is matrix [[5,8,0],[3,5,0],[1,2,1]]  672. Vector addition  (1,2,3)+(2,3,4)  673. Vector subtraction  (1,2,3)(2,3,4)  674. Vector Dot Product  (1,2,3).(2,3,4)  675. Vector Cross Product  (1,2,3)*(2,3,4)  676. Vector Cross Product  (1,2,3)x(2,3,4)  677. Vector Scalar Multiplication  3.(2,3,4)  678. Vector magnitude  (2,3,4)  679. Vector  magnitude (2,3,4)  680. Vector  Vector length (2,3,4)  681. Vector  unit (2,3,4)  682. Vector  normalize (2,3,4)  683. Vector  angle (1,2,3),(2,3,4)  684. Vector  projection (1,2),(2,3)  685. Vector  addition (1,2,3),(2,3,4)  686. Vector  subtraction (1,2,3),(2,3,4)  687. Vector  Dot Product (1,2,3),(2,3,4)  688. Vector  Cross Product (1,2,3),(2,3,4)  689. Vector  Direction Cosines (2,3,4)  690. Vector  Component form of vector (1,2,3),(2,3,4)  691. Vector  is Orthogonal vector (3,1,1),(1,2,1)  692. Vector  is Collinear vector (0,2),(0,4)  693. Vector  is Collinear vector (1,2,3),(2,4,6)  694. Vector  Area of triangle (3,4,0),(2,2,1)  695. Vector  Area of parallelogram (1,2,3),(2,3,4)  696. Vector  Scalar triple product (1,2,3),(2,3,4),(1,3,0)  697. Vector  is Coplanar vector (1,2,3),(2,3,4),(1,3,0)  698. Vector  Volume of pyramid (1,2,3),(2,3,4),(1,3,0)  699. Vector  Volume of Parallelepiped (1,2,3),(2,3,4),(1,3,0)  700. Vector  Decomposition of vector (1,2),(3,1),(8,1)  701. Vector  is Linearly Dependant (0,2),(0,4)  702. Vector  is Linearly Dependant (1,2,3),(2,3,4),(1,3,0)  703. Vector  Vector A=(1,2,3), B=(2,3,4), 2A+3B  704. Vector  Vector A=(1,2,3), B=(2,3,4), A cross B  705. Vector  vector (8i + 3j  k) x (i  j + 2k)  706. bisection method 2x^32x5  707. bisection method 2x^32x5, a=1, b=4  708. false position method 2x^32x5  709. false position method 2x^32x5, a=1, b=4  710. regula falsi method 2x^32x5  711. regula falsi method 2x^32x5, a=1, b=4  712. newton raphson method 2x^32x5  713. newton raphson method 2x^32x5, x0=1  714. newton raphson method 2x^32x5, a=1, b=4  715. iteration method 2x^32x5  716. iteration method 2x^32x5, a=1, b=4  717. secant method 2x^32x5  718. secant method 2x^32x5, a=1, b=4  719. muller method 2x^32x5  720. muller method 2x^32x5, a=0, b=1, c=2  721. BirgeVieta method x^43x^3+3x^23x+2, p=0.5  722. Multivariate Newton raphson method x^2+y^25=0, x^3+y^32=0 using initial solution 2, 1  723. Numerical Differentiation, 2x^34x+1, [2,4], x=2.1, h=0.25  724. Numerical Differentiation, 2x^34x+1, [2,4], x=3.5, N=4  725. Numerical Differentiation, {{1.4,1.6,1.8,2.0,2.2},{4.0552,4.9530,6.0496,7.3891,9.0250}},x=1.4  726. Numerical Differentiation, {{1.4,4.0552},{1.6,4.9530},{1.8,6.0496},{2.0,7.3891},{2.2,9.0250}},x=1.4  727. Euler method y'=2xy, y(0)=1, xn=0.5, h=0.1  728. RungeKutta method y'=2xy, y(0)=1, xn=0.5, h=0.1  729. RungeKutta 2 method y'=2xy, y(0)=1, xn=0.5, h=0.1  730. RungeKutta 3 method y'=2xy, y(0)=1, xn=0.5, h=0.1  731. RungeKutta 4 method y'=2xy, y(0)=1, xn=0.5, h=0.1  732. Adams bashforth predictor method y'=2xy, y(0)=1, x=5  733. Milne's simpson predictor corrector method y'=2xy, y(0)=1, x=5  734. Adams bashforth predictor method y'=(x+y)/2,{{0,0.5,1,1.5},{2,2.636,3.595,4.968}},x=2  735. Adams bashforth predictor method y'=(x+y)/2,{{0,2},{0.5,2.636},{1,3.595},{1.5,4.968}},x=2  736. Milne's simpson predictor corrector method y'=(x+y)/2,{{0,0.5,1,1.5},{2,2.636,3.595,4.968}},x=2  737. Milne's simpson predictor corrector method y'=(x+y)/2,{{0,2},{0.5,2.636},{1,3.595},{1.5,4.968}},x=2  738. Numerical Interpolation  Forward, 2x^34x+1, [2,4], x=2.1, h=0.25  739. Numerical Interpolation  Forward, 2x^34x+1, [2,4], x=2.1, N=4  740. Numerical Interpolation  Backward, 2x^34x+1, [2,4], x=2.1, h=0.25  741. Numerical Interpolation  Backward, 2x^34x+1, [2,4], x=2.1, N=4  742. Numerical Interpolation  Divided Difference, 2x^34x+1, [2,4], x=2.1, h=0.25  743. Numerical Interpolation  Divided Difference, 2x^34x+1, [2,4], x=2.1, N=4  744. Numerical Interpolation  Langrange's Interpolation, 2x^34x+1, [2,4], x=2.1, h=0.25  745. Numerical Interpolation  Langrange's Interpolation, 2x^34x+1, [2,4], x=2.1, N=4  746. Numerical Interpolation  Forward, {{0,1,2,3},{1,0,1,10}},x=2.1  747. Numerical Interpolation  Forward, {{0,1},{1,0},{2,1},{3,10}},x=2.1  748. Numerical Interpolation  Backward, {{0,1,2,3},{1,0,1,10}},x=2.1  749. Numerical Interpolation  Backward, {{0,1},{1,0},{2,1},{3,10}},x=2.1  750. Numerical Interpolation  Divided Difference, {{0,1,2,3},{1,0,1,10}},x=2.1  751. Numerical Interpolation  Divided Difference, {{0,1},{1,0},{2,1},{3,10}},x=2.1  752. Numerical Interpolation  Langrange's Interpolation, {{0,1,2,3},{1,0,1,10}},x=2.1  753. Numerical Interpolation  Langrange's Interpolation, {{0,1},{1,0},{2,1},{3,10}},x=2.1  754. Simpson rule, 1/x, [1,2], h=0.25  755. Simpson rule, 1/x, [1,2], N=5  756. Trapezoidal rule, 1/x, [1,2], h=0.25  757. Trapezoidal rule, 1/x, [1,2], N=5  758. Trapezoidal Simpson rule, 1/x, [1,2], h=0.25  759. Trapezoidal Simpson rule, 1/x, [1,2], N=5  760. Simpson rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}  761. Simpson rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}  762. Trapezoidal rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}  763. Trapezoidal rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}  764. Trapezoidal Simpson rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}  765. Trapezoidal Simpson rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}  766. 1's complement subtraction 1011011101  767. 2's complement subtraction 1011011101  768. 7's complement subtraction 342614  769. 8's complement subtraction 342614  770. 9's complement subtraction 670831  771. 10's complement subtraction 670831  772. 15's complement subtraction B06C7C  773. 16's complement subtraction B06C7C  774. 1's complement 11101  775. 2's complement 11101  776. 7's complement 614  777. 8's complement 614  778. 9's complement 831  779. 10's complement 831  780. 15's complement C7C  781. 16's complement C7C  782. Is Boolean Algebra D8  783. Is Boolean Algebra D10  784. truth table p or q  785. truth table p or (q and r)=(p or q) and (p or r)  786. logical validity Hypothesis = p=>q,p=>r and Conclusion = p=>(q and r)  787. logical validity Hypothesis = p=>q;p and Conclusion = q  788. Game  Online Sudoku Creator and Solver  789. Game  Online Dots game  790. Game  21 MatchStick Problem  791. Game  The Mind Reader Game  792. Game  ShiftIt  793. Game  2 Digit Number Guess  794. Game  Minesweeper  795. Game  TicTacToe  796. Game  Chess With CPU  797. Game  Concentration  798. Game  Lights Out  799. Game  Three Glass Puzzle (MilkCane Problem)  800. Game  Peg  801. Game  Tower of Hanoi  802. Assignment problem (Using Hungarian method)  803. Travelling salesman problem using hungarian method  804. Travelling salesman problem using branch and bound (penalty) method  805. Travelling salesman problem using branch and bound method  806. Travelling salesman problem using nearest neighbor method  807. Crew assignment problem  808. Operation Research LPP  Simplex method  809. Operation Research LPP  BigM method  810. Operation Research LPP  TwoPhase method  811. Operation Research LPP  Graphical method  812. Operation Research LPP  Primal to dual conversion  813. Operation Research LPP  Dual Simplex method  814. Operation Research LPP  Integer Simplex method (Gomory's cutting plane method)  815. Operation Research LPP  Branch and Bound method  816. Operation Research LPP  01 Integer programming problem  817. Operation Research LPP  Revised Simplex method  818. Transportation Problem  NorthWest corner method  819. Transportation Problem  Least cost method  820. Transportation Problem  Vogel's approximation method  821. Transportation Problem  Row minima method  822. Transportation Problem  Column minima method  823. Transportation Problem  Russells approximation method  824. Transportation Problem  Heuristic method1  825. Transportation Problem  Heuristic method2  826. Transportation Problem  Optimal solution using MODI method  827. Transportation Problem  Optimal solution using stepping stone method  828. PERT and CPM  829. Sequencing Problems  830. Replacement and Maintenance Models1.1  831. Replacement and Maintenance Models1.2  832. Replacement and Maintenance Models1.3  833. Replacement and Maintenance Models2  834. Replacement and Maintenance Models3  835. Game theory Saddle Point  836. Game theory Dominance method  837. Game theory Algebraic method  838. Game theory Calculus method  839. Game theory Arithmetic method  840. Game theory Matrix method  841. Game theory 2Xn Games  842. Game theory Graphical method  843. Game theory LPP method  844. Game theory Bimatrix method  845. Problem on Ages  Ram is twice as old as Shyam. If 10 years ago, Ram was 4 times as old as Shyam. At present, then present ages of Ram and Shyam are ?  846. Problem on Ages  The ratio of Meena's age and Kamla's age is 3 : 5 and the sum of Meena's age and Kamla's ages is 80 years. The ratio of their ages after 10 years will be ?  847. Problem on Ages  5 years ago, ratio of A's age and B's age was 3:2. 5 years hence, ratio of A's age and B's age will be 5:4. At present, A's age and B's age is ?  848. Problem on Ages  10 years ago, A was 4 times as old as B. 10 years hence, A will be 2 times as old as B. At present, A's age and B's age is ?  849. Problem on Ages  1 years hence, sum of A's age and B's age will be 25. 1 years ago, difference of A's age and B's age was 5. At present, A's age and B's age is ?  850. Unitary Method  If 17 books cost Rs 306, what do 29 books cost?  851. Unitary Method  If 5 artical cost Rs 90, the cost of 9 artical is?  852. Unitary Method  If 20 persons can do a piece of work in 7 days, then the number of persons required to complete the work in 28 days is?  853. Unitary Method  If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day?  854. Simple Interest  Find the simple interest on Rs 730 for 184 days at 25/4 % per annum.  855. Simple Interest  Find the simple interest on Rs 4660 for 5 years at 7/2 % per annum.  856. Simple Interest  The interest on a certain amount of money at 8 % per year for a period of 4 years is Rs 512 . Find the sum of money.  857. Simple Interest  Simple Interest on Rs 972 at 14 % per annum for a certain time is Rs 476.28 . Find the time ?  858. Simple Interest  Simple Interest on Rs 972 at a certain rate % per annum for 3.5 years is Rs 476.28 . Find the rate ?  859. Simple Interest  A sum of money lent at simple interest amounts to Rs 1008 in 2 years and to 1112 in 3 years Find the sum and the rate of interest.  860. Simple Interest  What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % p.a. for 5 years  861. Simple Interest  A man puts out Rs 500 for 4 years on simple interest and Rs 600 for 3 years The total interest he receives is Rs 190 . What is the rate percent per annum?  862. Simple Interest  A sum was put at simple interest at a certain rate for 2 years Had it been put at 3 % higher rate, it whould have fetched Rs 300 more. Find the sum.  863. Simple Interest  Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. for 5 years  864. Simple Interest  A shopkeeper borrowed Rs 20000 from two money lendeRs For one loan he paid 12 % and for the other 14 % per annum. After 1 year, he paid Rs 2560 as interest. How much did he borrow at each rate ?  865. Simple Interest  At what rate percent per annum will sum of money double in 8 years?  866. Simple Interest  Rajeev deposited money in the post office which is doubled in 20 years at a simple rate of interest. In how many years will the original sum triple itself ?  867. Compound Interest  Calculate Compound Interest and amount on Rs 4500 at 10 % per annum in 3 years  868. Compound Interest  Calculate Compound Interest and amount on Rs 625 for 2 years at 9 %, compounded halfyearly.  869. Compound Interest  Calculate Compound Interest on Rs 8000 for 9 months at 20 % per annum, compounded quartely .  870. Compound Interest  What sum of money becomes Rs 9261 in 3 years at 5 % per annum, compounded annually ?  871. Compound Interest  What will Rs 25000 amounts to in two years at Compound Interest if the rates for successive years be 4 % and 5 % per year.  872. Compound Interest  A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of money.  873. Compound Interest  A man borrows Rs 2500 at 5 % simple interest for 2 years He immediately lends this money at compound interest at the same rate for the same time. What is the additional amount he gets at the ends of the years correct to nearest rupee?  874. Compound Interest  The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 . Find the sum.  875. Compound Interest  If the compound interest on a certain sum for 3 years at 10 % per annum be Rs 331, what would be the simple interest ?  876. Compound Interest  A sum of money 2 times itself at compound interest in 15 years In how many years, it will become 8 times of itself ?  877. Percentage  What is 20 % of 80 .  878. Percentage  42 is 3 % of what.  879. Percentage  What percent of 65 is 130 .  880. Percentage  A's annual income is increased/decreased from Rs 60000 to Rs 75000 . Find the percentage of increase in A's income.  881. Percentage  In a school of 225 boys, 15 were absent then what percent were present ?  882. Percentage  A earns 25 % more than B. By what percent does B earn less then A.  883. Percentage  A reduction of 20 % in the price of basmati rice would enable a man to buy 2 kg of rice more for Rs 250 . Find the reduced price per kg.  884. Percentage  The price of tea has gone up by 20 %. By how much percent should its consumption be reduced so as not to increase the expenditure?  885. Percentage  Find the selling price of an item, of which the printed price is Rs 25000 if the successive discounts given are 10 %, 8 % and 4 %.  886. Percentage  The successive discount of 10 % and 5 % are given on the purchased Computer. If the final price of the Computer is Rs 10260 , then find the printed price of the Computer.  887. Percentage  130 is what percent of 65 .  888. Percentage  What is the percentage increase/decrease from 20 to 40 ?  889. Profit Loss Discount  Find selling price when cost price = Rs 50, Loss/Gain = 10 % .  890. Profit Loss Discount  Find cost price when selling price = 55 , Loss/Gain = 10 %  891. Profit Loss Discount  Find Loss/Gain % when cost price = 50 and selling price = 55 .  892. Profit Loss Discount  By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.  893. Profit Loss Discount  A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whole transaction.  894. Profit Loss Discount  If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.  895. Profit Loss Discount  By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent.  896. Profit Loss Discount  A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 grams for 1000 grams. Find the gain percent.  897. Profit Loss Discount  If the marked price of an article is Rs 380 and a discount of 5 % is given on it, what is the selling price ?  898. Profit Loss Discount  If 12 % is allowed as discount on a radio and its selling price is Rs 836 , what is its marked price ?  899. Profit Loss Discount  A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.  900. Profit Loss Discount  Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?  901. Profit Loss Discount  If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increased to 20 %.  902. Profit Loss Discount  If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the printed price, what is the percentage of his profit ?  903. Profit Loss Discount  A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price, find his prifit in percentage.  904. Profit Loss Discount  The printed price of a saree is Rs 900 . A clothmearchant purchases it at 15 % commission. He spends Rs 35 for rollpolish and then sells the saree at the printed price. What is the prifit of the merchant in percentage ?  905. Profit Loss Discount  A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.  906. Profit Loss Discount  The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the bookseller gets 20 % profit. Find the purchase price for the bookseller.  907. Profit Loss Discount  If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then will there be profit or loss? What is the percentage?  908. Profit Loss Discount  A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount on th printed price, the company has a profit of Rs 300 . Find the costprice of a watch.  909. Profit Loss Discount  If the sales price of 12 pens is fixed as the original price of 15 pens, then what percentage of profit is earned in the deal ?  910. Statistics Wording Problem  The mean of 10 observations is 12.5 . While calculating the mean one observation was by mistake taken as 8 instead of +8 . Find the correct mean.  911. Statistics Wording Problem  The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean.  912. Statistics Wording Problem  The mean of 15 observations is 16.4 . If we remove one observation from it then the mean of remaining observations is 17 , then find out the removed observation ?  913. Statistics Wording Problem  The sum of 15 observation is 343 . If we remove two observation 18 and 26 , then find out the mean of remaining observations.  914. Statistics Wording Problem  The mean of 5 observations is 20 . If we add one new observation then the new mean of the observations is 25 . So find out new added observation.  915. Statistics Wording Problem  The mean of observation is 10 . If we add 2 and then multiply or divide by 3 in each observation, then find the new mean ?  916. HCF LCM  The HCF of two numbers is 14 and their LCM is 11592 . If one of the numbers is 504 , find the other?  917. HCF LCM  Find the largest number which can exactly divide 513,783,1107 .  918. HCF LCM  Find the smallest number exactly divisible by 12,15,20,27 .  919. HCF LCM  Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case.  920. HCF LCM  Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case.  921. HCF LCM  Greatest number which can divide 1354 , 1806 , 2762 leaving the same remainder 10 in each case.  922. HCF LCM  The greatest number that will divide 1657 , 2772 leaving respectively 6 , 5 as remainder.  923. HCF LCM  The greatest number that will divide 290 , 460 , 552 leaving respectively 4 , 5 , 6 as remainder.  924. HCF LCM  The product of HCF and LCM of 18 and 16 is  925. HCF LCM  LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600 . If one number is 280 , then find the other number ?  926. HCF LCM  Find the least number which is exactly divided by 28,36,45 when we add 19 to it  927. Installment  A briefcase is available for Rs 800 cash or for Rs 500 cash down payment and Rs 320 to be paid after 6 months. Find the rate of interest charged under the installment plan.  928. Installment  A bicycle is sold for Rs 1800 cash or for Rs 600 cash down payment followed by 2 monthly installmnets of Rs 610 each. Compute the rate of the interest charged under the installment scheme.  929. Installment  A washing machine is available at Rs 6400 cash or for Rs 1400 cash down payment and 5 monthly installments of Rs 1030 each. Calculate the rate of interest charged under the instalment plan.  930. Installment  A computer is sold by a company for Rs 19200 cash or for Rs 4800 cash down payment together with 5 equal monthly installments. If the rate of interest charged by the company is 12 % per annum, find each installment.  931. Installment  A State Government announces sale of flats of Rs 555000 cash or Rs 42750 cash down payment and 3 equal Yearly installments. The Government also charges a nominal interest at the rate of 8 % per annum copuounded as installment plan in this welfare scheme.  932. Installment  A man borrows money from a finance company and has to pay it back in 2 equal Half Yearly installments of Rs 4945 each. If the interest is charged by the finance company at the rate of 15 % per annum compounded as installment plan, find the principal and t  933. Installment  A TV set is available for Rs 19650 cash payment or for Rs 3100 cash down payment and 3 equal Yearly installments. If the shopkeeper charges interest at the rate of 10 % per annum compounded as installment plan, calculate the amount of each installment.  934. Installment  Ram borrowed a sum of money and returned it in 3 equal Quarterly installments of Rs 17576 each. Find the sum borrowed, if the rate of interest charged was 16 % per annum compounded as installment plan. Find also the total interest charged.  935. Arithmetic Progression  For given arithemetic progression series 7,3,1,5,9 ,... find 10 th term and addition of first 10 th terms.  936. Arithmetic Progression  For arithemetic progression f( 5 ) = 56 , f( 8 ) = 86 then find f( 10 ) and S( 10 ).  937. Arithmetic Progression  For arithemetic progression f( 5 ) = 25 , f( 11 ) = 49 , then find n such that f(n) = 105 .  938. Arithmetic Progression  For arithemetic progression S( 33 ) = 198 , then find f( 17 ).  939. Arithmetic Progression  For arithemetic progression f( 17 ) = 6 , then find S( 33 ).  940. Arithmetic Progression  For arithemetic progression f( 7 ) = 13 , S( 14 ) = 203 , then find f( 10 ) and S( 8 ).  941. Arithmetic Progression  For arithemetic progression addition of 3 terms is 27 and their multiplication is 648 , then that numbers  942. Arithmetic Progression  For arithemetic progression addition of first 17 terms is 24 and addition of first 24 terms is 17 , then find addition of first 41 terms.  943. Arithmetic Progression  For arithmetic progression Sm = n and Sn = m then prove that Sm+n = (m  n)  944. Arithmetic Progression  For arithmetic progression Sm = n and Sn = m then prove that Smn = (m  n)(1 + 2n / m)  945. Arithmetic Progression  Find the sum of all natural numbers between 100 to 200 and which are divisible by 4 .  946. Arithmetic Progression  Find the sum of all natural numbers between 100 to 200 and which are not divisible by 4 .  947. Arithmetic Progression  For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbers  948. Arithmetic Progression  If S1, S2, S3 are sum of n, 2n, 3n terms of arithmetic progression series then prove that S3 = 3(S2  S1)  949. Arithmetic Progression  If Sn is sum of n even terms of arithmetic progression series and Sn' is sum of n odd terms of arithmetic progression series then prove that Sn = (1 + 1/n) Sn'  950. Arithmetic Progression  For arithemetic progression, addition of three terms is 51 and multiplication of end terms is 273 , then find that numbers  951. Arithmetic Progression  For arithemetic progression of four terms, addition of end terms is 14 and multiplication of middle two terms is 45 , then find that numbers  952. Arithmetic Progression  For arithemetic progression, addition of four terms is 4 and addition of multiplication of end terms and multiplication of middle terms is 38 , then find that numbers  953. Geometric Progression  For given geometric progression series 3,6,12,24,48 ,... find 10 th term and addition of first 10 th terms.  954. Geometric Progression  For given geometric progression series 3,6,12,24,48 ,... then find n such that S(n) = 3069 .  955. Geometric Progression  For given geometric progression series 3,6,12,24,48 ,... then find n such that f(n) = 1536 .  956. Geometric Progression  For geometric progression f( 1 ) = 2 , f( 4 ) = 54 then find f( 3 ) and S( 3 ).  957. Geometric Progression  For geometric progression f( 1 ) = 2 , f( 4 ) = 54 , then find n such that f(n) = 18 .  958. Geometric Progression  For geometric progression addition of 3 terms is 26 and their multiplication is 216 , then that numbers  959. Geometric Progression  For geometric progression multiplication of 5 terms is 1 and 5 th term is 81 times then the 1 th term.  960. Geometric Progression  Arithmetic mean of two number is 13 and geometric mean is 12 , then find that numbers  961. Geometric Progression  Two numbers are in the ratio 9 : 16 and difference of arithmetic mean and geometric mean is 1 , then find that numbers  962. Geometric Progression  Find 6 arithmetic mean between 3 and 24 .  963. Geometric Progression  Find 3 geometric mean between 1 and 256 .  964. Geometric Progression  Prove that 1 + (1 + 2) + (1 + 2 + 3) + ... n terms = n/6 (n + 1) (n + 2)  965. Geometric Progression  Prove that 1 * (2^2  3^2) + 2 * (3^2  4^2) + 3 * (4^2  5^2) + ... n terms = n/6 (n + 1) (4n + 11)  966. Geometric Progression  1 + x^4 + 3^2 + 4 + x^6 + 6^2 + 7 + x^8 + 9^2 + ... 3n terms  967. Geometric Progression  1 + (1 + 3) + (1 + 3 + 5) + ... n terms  968. Geometric Progression  Prove that for all n belongs to N, 1^2 * n + 2^2 * (n  1) + 3^2 * (n  2) + ... + n^2 * 1 = n/12 (n + 1)^2 (n + 2)  969. Geometric Progression  Prove that 1 * 2^2 + 3 * 5^2 + 5 * 8^2 + ... n terms = n/2 (9n^3 + 4n^2  4n  1)  970. Geometric Progression  Prove that 1^2 + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + ... n terms = n/12 (n + 1)^2 (n + 2)  971. Geometric Progression  Prove that 2 + 5 + 10 + 17 + ... n terms = n/6 (2n^2 + 3n + 7)  972. Geometric Progression  Prove that sum [ sum (2n 3) ] = n/6 (n + 1)(2n  5) 

