Find the sum of squares of the greatest value and the smallest value of K in the number so that the ...........

Quantitative Aptitude (CGL) Number System

Find the sum of squares of the greatest value and the smallest value of K in the number so that the number 45082K is divisible

by 3.

This questions was previously asked in

SSC CGL 17th August 2021 Shift-3

100

- The number is 45082K. For divisibility by 3, the sum of its digits must be divisible by 3.

- Sum of known digits: 4+5+0+8+2 = 19.

- Add K: 19+K must be divisible by 3.

- Possible values for K (0-9) that make 19+K divisible by 3:

- 19 mod 3 = 1. So K must be 2 or 5 or 8 (since 1+2=3, 1+5=6, 1+8=9, and all are multiples of 3).

- Smallest K = 2, greatest K = 8.

- Squares: 2² = 4, 8² = 64. Sum = 68.

So,

Option:2, 68 is correct.

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