1. Check whether 25996 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`2599color{red}{6}=>2599 - color{red}{6} xx 29 = 2599 -174 = 2425`
`242color{red}{5}=>242 - color{red}{5} xx 29 = 242 -145 = 97`
Here 97 is divisible by 97.
`:.` 25996 is divisible by 97.
2. Check whether 33562 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`3356color{red}{2}=>3356 - color{red}{2} xx 29 = 3356 -58 = 3298`
`329color{red}{8}=>329 - color{red}{8} xx 29 = 329 -232 = 97`
Here 97 is divisible by 97.
`:.` 33562 is divisible by 97.
3. Check whether 37151 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`3715color{red}{1}=>3715 - color{red}{1} xx 29 = 3715 -29 = 3686`
`368color{red}{6}=>368 - color{red}{6} xx 29 = 368 -174 = 194`
`19color{red}{4}=>19 - color{red}{4} xx 29 = 19 -116 = -97`
Here -97 is divisible by 97.
`:.` 37151 is divisible by 97.
4. Check whether 28817 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`2881color{red}{7}=>2881 - color{red}{7} xx 29 = 2881 -203 = 2678`
`267color{red}{8}=>267 - color{red}{8} xx 29 = 267 -232 = 35`
Here 35 is not divisible by 97.
`:.` 28817 is not divisible by 97.
5. Check whether 32740 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`3274color{red}{0}=>3274 - color{red}{0} xx 29 = 3274 = 3274`
`327color{red}{4}=>327 - color{red}{4} xx 29 = 327 -116 = 211`
`21color{red}{1}=>21 - color{red}{1} xx 29 = 21 -29 = -8`
Here -8 is not divisible by 97.
`:.` 32740 is not divisible by 97.
6. Check whether 34926 is divisible by 97 or not?Solution:Divisibility rule of 97 :
29 times the last digit and subtract it from the rest of the number.
If the answer is divisible by 97, then number is also divisible by 97.
(Apply this rule to the answer again if necessary)
`3492color{red}{6}=>3492 - color{red}{6} xx 29 = 3492 -174 = 3318`
`331color{red}{8}=>331 - color{red}{8} xx 29 = 331 -232 = 99`
Here 99 is not divisible by 97.
`:.` 34926 is not divisible by 97.
This material is intended as a summary. Use your textbook for detail explanation.
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