When a number is successively divided by 3, 4 and 7, the remainder obtained is 2, 3 and 5, respectively. What will be the remainder when 42 divides the same number?
Answer & explanation
Correct answer: option 3
Given,
Divisors = 3, 4 and 7
Remainders = 2, 3 and 5
We know,
(Divisor × Quotient) + Remainder = Dividend
Let a be the number
Let b and c be the quotients
⇒ c = 7 × 1 + 5 = 12
⇒ b = 4 × c + 3
⇒ b = 4 × 12 + 3 = 51
⇒ a = 3 × b + 2
⇒ a = 3 × 51 + 2 = 155
Now, \(\frac{155}{42}\) = 29 Remainder