Question:
25190 - 19190 - 8190 + 2190 is divisible by
25190 - 19190 - 8190 + 2190 is divisible by
Updated On: Mar 11, 2026
- both 14 and 34
- 14 but not 34
- 34 but not 14
- neither 14 nor 34
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The Correct Option is C
Solution and Explanation
Given:
\( 25^{190} - 8^{190} \) is divisible by \( 25 - 8 = 17 \)
\( 19^{190} - 2^{190} \) is divisible by \( 19 - 2 = 17 \)
\( 25^{190} - 19^{190} \) is divisible by \( 25 - 19 = 6 \)
\( 8^{190} - 2^{190} \) is divisible by \( 8 - 2 = 6 \)
Now, we calculate the least common multiple (L.C.M.) of 1746:
The L.C.M. of 1746 is 34.
Therefore, the number is divisible by 34 but not by 14.
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