SSC CGL 2024 PYQ — Question 57

SSC CGL - 11 Sep 2024 Shift 2 • Quantitative Aptitude • Q57

Find the quotient, when the mean proportional of 7151\over5 and 245 is divided by an even prime number.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 21.

We know that,

Mean proportional = √ab

here, a =  7151\over5 = 36/5, and b = 245

So,

Mean proportional = (365×245)\sqrt{({36 \over 5} \times 245)}

⇒ (36×49)\sqrt{({36} \times 49)}

⇒ 6×6×7×7\sqrt{6\times6\times7\times7}

⇒ 6 × 7 = 42

The only even prime number is 2. Now, divide the mean proportional by 2

⇒ 42/2 = 21

Therefore, the quotient is 21