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When 3488 is divided by 12 and 2478 is divided by 11, the difference between the remainders in both cases is1. 52. 63. 74. 3 |
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Answer» Correct Answer - Option 1 : 5 Given: First dividend = 3488 First divisor = 12 Second dividend = 2478 Second divisor = 11 Concept used: Dividend = Quotient × Divisor + Remainder Calculations: The closest multiple of 12 to 3488 = 3480 Remainder = 3488 - 3480 ⇒ 8 The closest multiple of 11 to 2478 = 2475 Remainder = 2478 - 2475 ⇒ 3 Difference between the remainder in both cases = 8 - 3 ⇒ 5 ∴ The difference between the remainders in both the cases is 5 Divisibility rule of 11 → A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a multiple of 11 Divisibility rule of 12 → A number is divisible by 12 if it is divisible by 3 and 4 both Divisibility rule of 3 → A number is divisible by 3 if the sum of digits of the number is divisible by 3 Divisibility rule of 4 → A number is divisible by 4 if the last two digits of the number is divisible by 4 |
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