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