Two positive numbers differ by 3951 When the larger number is divided by the smaller number the quot...........

Quantitative Aptitude (CPO) Number System

Two positive numbers differ by 3951. When the larger number is divided by the smaller number, the quotient is 12 and the

remainder is 13. The sum of the digits of the larger number is:

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 3

Let’s break it down:

- Call the smaller number x. The larger one is then x + 3951.

- When the large number is divided by the small one:

(x + 3951) ÷ x = Quotient 12, remainder 13. So:

x + 3951 = 12x + 13

3951 = 11x + 13

3938 = 11x

x = 358

- Larger number = x + 3951 = 358 + 3951 = 4309

- Let’s add its digits: 4 + 3 + 0 + 9 = 16

Among the options, the sum 16 matches Option 2.

Correct Option:

Option:2, 16

- Option 1 (12), 3 (18), and 4 (14) don’t fit the sum.

- The trick is really focusing on the difference and the division info, then just going step by step.

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