AMCAT Math 3

Question 1

The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many students are in the class?

Accepted Answer

49

Answer

If 4 parts = 28, then 1 part = 7; total parts = 7, so total students = 7 × 7 = 49.

Question 2

A shopkeeper bought an item for $240 and sold it at a 25% profit. What was the selling price?

Accepted Answer

$300

Answer

Selling price = 240 × 1.25 = $300.

Question 3

What is the value of √(0.0081)?

Accepted Answer

0.09

Answer

√(0.0081) = √(81/10000) = 9/100 = 0.09.

Question 4

If a car depreciates at 10% per year, what is its value after 2 years if it originally cost $20,000?

Accepted Answer

$16,200

Answer

Value = 20000 × (0.9)² = 20000 × 0.81 = $16,200.

Question 5

Find the HCF of 48, 72, and 96.

Accepted Answer

24

Answer

Prime factorization: 48=2⁴×3, 72=2³×3², 96=2⁵×3; HCF = 2³×3 = 24.

(AMCAT) Aspiring Minds Computer Adaptive Test Practice Test