AMCAT AMCAT Quantitative and English Aptitude

Question 1

A shopkeeper in Delhi buys goods worth ₹4,500 and sells them at a profit of 20%. What is the selling price?

Accepted Answer

₹5,400

Answer

Selling price = Cost price × (1 + profit%) = 4500 × 1.20 = ₹5,400.

Question 2

The average score of 5 students in a Wipro aptitude test is 72. If a sixth student scores 90, what is the new average?

Accepted Answer

75

Answer

Total of 5 students = 5 × 72 = 360. New total = 360 + 90 = 450. New average = 450 ÷ 6 = 75.

Question 3

A and B together can complete a project in 12 days. A alone can complete it in 18 days. In how many days can B alone complete the project?

Accepted Answer

36 days

Answer

B's rate = (A+B's rate) − A's rate = 1/12 − 1/18 = 3/36 − 2/36 = 1/36. So B alone takes 36 days.

Question 4

If 40% of a number is 160, what is 25% of that number?

Accepted Answer

100

Answer

Number = 160 ÷ 0.40 = 400. 25% of 400 = 100.

Question 5

The ratio of boys to girls in a TCS training batch is 3:2. If there are 30 boys, how many girls are there?

Accepted Answer

20

Answer

Boys:Girls = 3:2. If boys = 30, then girls = (2/3) × 30 = 20.

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