When a number is divided by 3, 4, and 7 successively, remainders obtained are 2, 1, and 4 respectively. What will be the remainder when the same number is divided by 84?
A
43
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B
53
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C
63
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D
73
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Solution
The correct option is B 53 Number will be like 3(4 (7x+4)+1) +2 = 84x + 53. When this number is divided by 84, remainder obtained is 53. Altenatively, go through the options.