CMAT Quantitative Techniques 2

Question 1

A sum doubles itself in 10 years at simple interest. What is the annual interest rate?

Accepted Answer

10%

Answer

SI = P when it doubles, so P = (P × R × 10)/100, giving R = 10%.

Question 2

A 20% increase followed by a 20% decrease results in what net change?

Accepted Answer

−4%

Answer

Net factor = 1.20 × 0.80 = 0.96, representing a 4% decrease.

Question 3

If 8 workers can complete a job in 15 days, how many days will 12 workers take?

Accepted Answer

10

Answer

Total work = 8 × 15 = 120 man-days; 12 workers need 120/12 = 10 days.

Question 4

A car's value depreciates by 15% each year. What is its value after 2 years if bought for $20,000?

Accepted Answer

$14,450

Answer

Value = 20000 × (0.85)² = 20000 × 0.7225 = $14,450.

Question 5

The average of five numbers is 40. If one number is removed, the average becomes 35. What is the removed number?

Accepted Answer

60

Answer

Sum of 5 = 200; sum of 4 = 140; removed number = 200 − 140 = 60.

CMAT - Common Management Admission Test Practice Test