TANCET 2008 - Past year paper: Quant Sample Questions: Mathematical Expressions : Ascent Education TANCET MBA Classes

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You are here: Home   TANCET Sample Questions  Linear & Quadratic Equation   TANCET 2008 Question 7

TANCET 2008 Quant Question 7 : Mathematical Expressions


There were P people in a room when a meeting started. Q people left the room during the first hour, while R people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who have been there since the meeting started?
  1. (P - Q)/(P - Q + R)
  2. 100 x (P - Q + R)/(P - Q)
  3. (P + R)/(P - Q)
  4. 100 x (P - Q)/(P - Q + R)
  5. 100 x (P + R)/(P - Q)

Correct Answer: 100 x (P - Q + R)/(P - Q). Choice (2)

Explanatory Answers

The meeting started with P people. Q left the room during the first hour.
So, (P - Q) people have been in the room since the meeting started.
This expression is obviously the denominator of the expression.

To start with there were P people, Q of whom left the room and another R joined the group.
So, the number of people in the room after the first hour = P - Q + R.
This expression is the numerator of the expression.

Required expression = 100 x (P - Q + R)/(P - Q)

Level of difficulty : Easy to moderate

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