UPSC Setu Logo
← All CSAT questions
2026
If x and y are two digits and the number 4x5y790 is divisible by 11, then what is the remainder, if x + y is divided by 11?

Explanation

To determine divisibility by 11, apply the rule: the alternating sum of the digits (4 + 5 + 7 + 0) - (x + y + 9) must be divisible by 11. This yields 16 - (x + y). Setting 16(x+y)=1116 - (x + y) = 11 gives x+y=5x + y = 5 which leaves a remainder of 7 when divided by 11. Thus, the correct answer is 7.

More Analytical Reasoning questions and the solving guide →
New here?