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A number divided by 56 gives the quotient 147 and remainder as 10. If the same number is divided by 55, the remainder is:
Question

A number divided by 56 gives the quotient 147 and remainder as 10. If the same number is divided by 55, the remainder is:

A.

47

B.

49

C.

54

D.

52

Correct option is A

Number = 56 × 147 + 10 = 8232 + 10 = 8242 Now, divide 8242 by 55: 8242 ÷ 55 = 149 remainder 47
Explanation of options: (a) ✔ Correct remainder when dividing 8242 by 55. (b) ✘ 49 is incorrect; results from miscalculation. (c) ✘ 54 is close to divisor, but incorrect. (d) ✘ 52 is not the accurate remainder.

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