CAT aptitude questions for practice

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Which of the following options correctly completes the sentence?

A car is flowing at the rate of 30 km per hour. What is the value of 7.7 × 10^7 when the car has travelled for 9 hours?

a) 1.54 × 106 b) 7.7 × 106 c) 1.54 × 107 d) 7.7 × 107

Which of the following options correctly represents the number of ways in which 14 persons can sit on 14 chairs such that 3 particular persons always sit together?

a) 14! b) 14! × 3! c) 11! d) 12! × 3!

If three dice are rolled simultaneously, what is the probability of getting a sum which is more than 15?

a) 7/216 b) 5/108 c) 1/6 d) 7/36

The pie-chart below shows the quantities (in ml) of different liquids (A, B, C, D, and E) in a mixture.

<img src="https://i.imgur.com/WiW1yHN.png" width="250">

What is the quantity of liquid B in the mixture (in ml)?

a) 60 b) 120 c) 150 d) 180

Which of the following options correctly represents the value of g(f(x)) if f(x) = x^2 – 3x + 2 and g(x) = x^3 – 2x, for x = 4?

a) 214 b) 204 c) 212 d) 202

What is the digit at the unit place of the product 12^13 × 13^5 × 14^2?

a) 6 b) 4 c) 0 d) 2

If a work gets completed in 10 days with 5 men and 4 women or 7 men and 3 women, how long will it take for 10 men to complete the work?

a) 9 days b) 10 days c) 14 days d) 13 days

If two successive discounts of 20% and y% are given on a marked price such that the selling price is 8000, and the marked price of the article is 10,000, what is the value of y?

a) 5% b) 10% c) 15% d) 20%

If two pipes can fill a cistern of capacity 100,000 liters in 20 hours and 30 hours respectively, how long will it take for both of them to fill 75,000 liters of water in it?

a) 24 hours b) 9 hours c) 20 hours d) 12 hours

If a train travelling at a certain speed can cross a person standing on the platform in 10 seconds, while it takes 2 seconds more for the same train to cross the person if it travels slower by 18 km/hr, what is the length of the train?

a) 400 m b) 250 m c) 300 m d) 200 m

In the given word pairs, which option represents the word that has a similar meaning to the first word?

EAGER a) Clever b) Enthusiastic c) Curious d) Devoted

PLACID a) Clear b) Calm c) Enjoyable d) Dull

COMMEMORATE a) Boast b) Remember c) Manipulate d) Harmon