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Question

Let p be the remainder when 784 is divided by 342 and q be the remainder when 784 is divided by 344. What is (p - q) equal to?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

0

By performing the division calculations, the remainders p and q are found to be equal, hence (p - q) = 0. Hence, the correct answer is (a) 0.

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Important Questions from Divisibility and Remainder

  1. What is the sum of the digits of the least number which when divided by 12, 16 and 20 leaves the same remainder 6 in each case and it is divisible by 9?

  2. As nine-digit number 89563x87y is divisible by 72. What is the value of \(\sqrt{7x-3y}\)  ?

  3. The greatest number that on dividing 2675 and 2320 leaves the reminder 5 and 6 ,respectively is : 

  4. Find the greatest number that exactly divides 2880, 6525 and 8307.

  5. If a 10 - digit number 643x1145y2 is divisible by 88, then the value of (2x - 3y) for the largest value of y is :

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