There are 200 questions in a 3-hour examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be allowed for each mathematics problem as for the other questions. How many minutes should be spent on the mathematics problems?

Suvrato August 8, 2023 - 20:35

Problem: There are 200 questions in a 3-hour examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be allowed for each mathematics problem as for the other questions. How many minutes should be spent on the mathematics problems?

View all: JANATA BANK | ASSISTANT EXECUTIVE OFFICER (AEO) | WRITTEN MATH SOLVE | 2011

Correct Answer: 72 Min

Explanation:

Number of questions = 200Time = 3 hour = 3 x 60 = 180 minutes.

As Math questions 50 Nos, so other question = (200 – 50) = 150 nosLet,

Time given for each question of 150 other questions is = x minutes

Time given for each question of 50 math questions is = 2x minutes

According to question, 150x+50 x 2x= 180x = $\frac{180}{250}$

Time required for each math question = 2x = 2 x $\frac{180}{250}$ minutes

Time required for each math question = 2 x $\frac{180 x 50}{250}$ minutes

= 72 minutes.

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