CMAT Quantitative Techniques 3

Question 1

What is the LCM of 12, 18, and 24?

Accepted Answer

72

Answer

Prime factorizations give LCM = 2³ × 3² = 72.

Question 2

If a boat travels 15 km upstream in 3 hours and 15 km downstream in 1.5 hours, what is the stream's speed?

Accepted Answer

2.5 km/h

Answer

Upstream speed = 5 km/h; downstream speed = 10 km/h; stream speed = (10−5)/2 = 2.5 km/h.

Question 3

A vendor sells 40 pens for the cost price of 50 pens. What is the profit percentage?

Accepted Answer

25%

Answer

SP of 40 = CP of 50; profit on 40 = CP of 10; profit % = 10/40 × 100 = 25%.

Question 4

A sum of money becomes 3 times in 8 years at simple interest. In how many years will it become 5 times?

Accepted Answer

16 years

Answer

Rate = 200/8 = 25%; to become 5 times, need 400% interest; time = 400/25 = 16 years.

Question 5

The HCF of two numbers is 12 and their LCM is 360. If one number is 60, what is the other?

Accepted Answer

72

Answer

Other number = (HCF × LCM) / first number = (12 × 360) / 60 = 72.

CMAT - Common Management Admission Test Practice Test