AMCAT Math 5

Question 1

A series: 2, 6, 18, 54, ... What is the 6th term?

Accepted Answer

486

Answer

Each term is multiplied by 3; 5th term = 162, 6th term = 162 × 3 = 486.

Question 2

What percentage of 250 is 75?

Accepted Answer

30%

Answer

(75/250) × 100 = 30%.

Question 3

If the cost price of 15 articles equals the selling price of 12 articles, what is the profit percentage?

Accepted Answer

25%

Answer

CP of 15 = SP of 12; profit = 3 articles on CP of 12; profit% = (3/12) × 100 = 25%.

Question 4

A ladder 10 m long leans against a wall. If the base is 6 m from the wall, how high does the ladder reach?

Accepted Answer

8 m

Answer

By Pythagorean theorem: height² = 10² - 6² = 100 - 36 = 64; height = 8 m.

Question 5

If x% of 400 = 80, then x = ?

Accepted Answer

20

Answer

(x/100) × 400 = 80; 4x = 80; x = 20.

(AMCAT) Aspiring Minds Computer Adaptive Test Practice Test