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When the number “x” is divided by 16, the remainder is 14. If the square of the same number is divided by 16, then, the remainder will be – 1. 52. 43. 64. 8 |
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Answer» Correct Answer - Option 2 : 4 GIVEN: The number “x” is divided by 16, the remainder is 14. CONCEPT: Dividend = (Divisor × Quotient) + Remainder CALCULATION: According to question – ⇒ x = 16k + 14 If we square the same number, then, the remainder will be – Remainder of (16k + 14)2/16 ⇒ Remainder of 256k2 + 196 + 2 × 16k × 14 ⇒ Remainder of 16(16k2 + 28k) + 196 First part is divisible by 16 so the remainder the will be 196/16 ⇒ Remainder of 196/16 196 = 16 × 12 + 4 ∴ Remainder is 4 |
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