If the square root of a number is 0.25 times the number itself, find the number.
Show answer & explanation
Correct answer: B
Explanation
√x = 0.25x
√x = x/4
⇒ x = x²/16
⇒ 16x = x²
⇒ x² − 16x = 0
⇒ x(x − 16) = 0
⇒ x = 16 (Positive value)
SSC CPO - 11 Dec 2025 - Shift 1 • Quantitative Aptitude • Q129
If the square root of a number is 0.25 times the number itself, find the number.
Correct answer: B
Explanation
√x = 0.25x
√x = x/4
⇒ x = x²/16
⇒ 16x = x²
⇒ x² − 16x = 0
⇒ x(x − 16) = 0
⇒ x = 16 (Positive value)