There are 100 questions in a two hour M.C.A. entrance test. Among these questions, 40 will be in the area of Reasoning. It is suggested that two and a half times as much time be allowed for each reasoning problem as for each of the other questions. How many minutes should be spent on the Reasoning Problem?

Options

A. 35
B. 70
C. 80
D. 75

Answer

D

Explanation

Let the number of minutes spent for Reasoning Problem = x
Then, the number of minutes spent for other questions/Problems = (120 - x)
[`because` 2 hours = 120 minutes]
According to the question
`x/40 = 2 1/2 xx ((120 -x))/(60) " " [because 2 1/2 = 5/2]`
or `x/40 = 5/2 xx ((120 - x))/(60)`
or, `24x = 40 (120-x) `
or, `24x = 4800 – 40x `
or, `64x = 4800 `
or, `x= 75`.
Therefore, required number of minutes spent of Reasoning problem = x= 75 minutes.