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Q7 REMAINDERS

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

  a. 80

  b. 75

  c. 41

  d. 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.

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