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The sum of two numbers is 1522. On dividing the larger number by the smaller number, we get 4 as quotient and 27 as remainder. What is the remainder when smaller number is divided by 18?

The sum of two numbers is 1522. On dividing the larger number by the smaller number, we get 4 as quotient and 27 as remainder. What is the remainder when smaller number is divided by 18? Correct Answer 11

Given,

Let smaller number be M.

Larger number = 1522 – M

Given,

⇒ (1522 – M) = M × 4 + 27

⇒ 5M = 1495

⇒ M = 299

Given,

⇒ 299 = 18 × 16 + ?

⇒ ? = 11

The remainder is 11.

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