When 78^2 is substracted from the square of a number, the answer is 6460.What is that number?

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RRB ASM Exam (Bhubaneshwar) 2009 click here to view all questions

When $78^2$ is substracted from the square of a number, the answer is 6460.What is that number?

A109

B113

C112

D115

tabish ? Jan 12 '2019 at 21:12

Answer is: C [112]

Explanation:

Let A be the number.

Given that \(A^2 – 78^2 = 6460\)

\(⇒ A^2 = 6460 + 78^2\)

\(⇒ A^2 = 6460 + 6084\)

\(⇒ A^2 = 12544\)

\(⇒ A = \sqrt{12544} = 112\)

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Answer is: C [112] Explanation: Let A be the number. Given that \(A^2 – 78^2 = 6460\) \(⇒ A^2 = 6460 + 78^2\) \(⇒ A^2 = 6460 + 6084\) \(⇒ A^2 = 12544\) \(⇒ A = \sqrt{12544} = 112\) tabish ? answered Jan 12 '2019 at 21:12 All Comments

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