Find the quotient, when the mean proportional of 7 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 = 7 = 36/5, and b = 245
So,
Mean proportional =
⇒
⇒
⇒ 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