AMCAT Quantitative Ability 2

Question 1

A pipe fills a tank in 10 hours and another empties it in 15 hours. If both are open simultaneously, in how many hours will the tank be filled?

Accepted Answer

30

Answer

Net rate = 1/10 − 1/15 = 1/30, so the tank fills in 30 hours.

Question 2

If the area of a square is 144 sq ft, what is its perimeter?

Accepted Answer

48 ft

Answer

Side = √144 = 12 ft; perimeter = 4 × 12 = 48 ft.

Question 3

A car depreciates by 10% every year. If its current value is $18,000, what will it be worth after 2 years?

Accepted Answer

$14,580

Answer

Value after 2 years = 18000 × (0.9)² = 18000 × 0.81 = $14,580.

Question 4

The LCM of 12 and 18 is:

Accepted Answer

36

Answer

LCM(12, 18) = 36 since 36 is the smallest number divisible by both 12 and 18.

Question 5

If x + y = 10 and x − y = 4, what is the value of x?

Accepted Answer

7

Answer

Adding the equations: 2x = 14, so x = 7.

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