1.

A nine-digit number 24357x8y0 is divisible by 9. Find the minimum possible value of (x + y)2.1. 362. 493. 254. 64

Answer» Correct Answer - Option 2 : 49

Given:

24357x8y0 is divisible by 9

Concept:

If the sum of all the digits of a number is divisible by 9, the number is also divisible by 9.

Calculation:

Sum of all the digits =  2 + 4 + 3 + 5 + 7 + x + 8 +y + 0

⇒ 29 + x + y

As the number is divisible by 9, so 29 + x + y is also divisible by 9

Multiple of 9 nearest to 29 is 36

⇒ 29 + x + y = 36

⇒ x + y = 7

Squaring both the sides

⇒ (x + y)2 = 72

⇒ (x + y)2 = 49

∴ The minimum possible value of (x + y)2 is 49.


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