SSC CPO 2019 PYQ — Question 143

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q143

When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is x. What is the value of ?

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e. 3√2

Understanding/Application

Number = 65 + 56 = 121 = Dividend

Now, Divide by 13.

Remainder = Dividend - (Divisor × Quotient) = 121 - (13 × 9) = 4

Here, Remainder = x = 4 {from question}

Now,  = √(20 - 2) = √18 = 3√2