SSC CGL 2025 PYQ — Question 55

SSC CGL - 26 Sep 2025 - Shift 1 • Reasoning • Q55

In the following examples, a number is coded as three digits — representing the remainders when the number is divided by 3, 7, and 11, respectively.

Examples: 1: 53 →\rightarrow (53 ÷\div 3 = 17 R2, 53 ÷\div 7 = 7 R4, 53 ÷\div 11 = 4 R9) →\rightarrowCode: 2, 4, 9

Example 2: 68 →\rightarrow (68 ÷\div 3 = 22 R2, 68 ÷\div 7 = 9 R5, 68 ÷\div 11 = 6 R2) →\rightarrow Code: 2, 5, 2

By following this method, which is the least number which would have the code - 2, 2, 2?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 233.

We need a number that leaves remainder 2 when divided by 3, 7, and 11.

Required code = 2, 2, 2

So the number leaves remainder 2 when divided by 3, 7, and 11.

Hence, N − 2

must be divisible by 3,7, and 11.

LCM(3, 7, 11) = 231

N = 231 + 2 = 233