Verified Solution • 2025–26 Session moderate

QJEEM23Mae8c1: JEE Main 2023 Mathematics - Class 11 JEEM23Mae8c1 Solution: 25 190 − 19 190 − 8 190 + 2 190 is divisible by :

25190−19190−8190+2190 is divisible by :

Multiple Choice Options

  • A 14 but not by 34
  • B neither 14 nor 34
  • C both 14 and 34
  • D 34 but not by 14

Step-by-Step Verified Solution

The given expression is divisible by 6 and 17 .

Also, 25190−819025^{190}-8^{190} is not divisible by 7

but 19190−219019^{190}-2^{190} is divisible by 7 ,

So, 25190−19190−8190+219025^{190}-19^{190}-8^{190}+2^{190} is divisible by 34 but not by 14 .

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