Question

The difference between the two numbers is 335. When the larger number is divided by the smaller number, the quotient is 13 and the remainder is 11. What is the larger number?
1. 390
2. 362
3. 350
4. 346

Answer 1

Correct Answer - Option 2 : 362

Given:

Difference between two numbers = 335

Quotient = 13

Remainder = 11

Concept:

Dividend = Quotient × Divisor + Remainder

Calculation:

Let, the smaller number = x

∴ The larger number = (x + 335)

According to the question,

⇒ x + 335 = x × 13 + 11

⇒ x + 335 = 13x + 11

⇒ 12x = 324

⇒ x = 27

Larger number = (27 + 335)

⇒ 362

∴ Larger number is 362