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CAT Quant Practice Test 3

CAT Quant • Medium • 20 Questions
Progress 0 / 20
40:00

You should spend about 40 minutes on this section. Questions 1 to 10 are multiple choice. Questions 11 to 20 are TITA (type-in-the-answer) questions, where you type the numerical answer.

Quantitative Ability Questions Questions 1-20
1

A shopkeeper marks up the cost price of an article by 40% and then allows a discount of 15% on the marked price. What is his profit percentage?

2

Pipe A can fill a tank in 20 minutes and pipe B in 30 minutes, while pipe C can empty the full tank in 60 minutes. If all three pipes are opened together, in how many minutes will the empty tank be filled?

3

What is the smallest positive number that leaves a remainder of 5 when divided by 12, 18 and 30?

4

What is the sum of the first 20 terms of the series 5 + 9 + 13 + 17 + …?

5

Two trains of lengths 150 m and 100 m run on parallel tracks in opposite directions at 54 km/h and 36 km/h. How many seconds do they take to cross each other completely?

6

The ages of A and B are in the ratio 3 : 5. Six years from now the ratio will be 2 : 3. What is the present age of B, in years?

7

What is the area of a triangle with sides 13 cm, 14 cm and 15 cm?

8

If x + 1/x = 3, what is the value of x² + 1/x²?

9

In how many distinct ways can the letters of the word LEVEL be arranged?

10

Two fair dice are rolled together. What is the probability that the sum of the numbers shown is 8?

11

What are the last two digits of 7^2026? (Type in the two-digit number.)

12

What is the sum of all two-digit positive multiples of 7?

13

What is the highest common factor (HCF) of 84, 126 and 210?

14

A and B together can complete a job in 12 days, B and C together in 15 days, and A and C together in 20 days. In how many days can all three working together complete the job?

15

A chord of length 24 cm is drawn in a circle of radius 13 cm. What is the distance, in cm, of the chord from the centre of the circle?

16

In how many ways can the positive integers x, y and z satisfy x + y + z = 10, where each of x, y and z is at least 1?

17

A sum of money invested at compound interest (compounded annually) becomes 4 times itself in 2 years. In how many years will it become 16 times itself?

18

What is the value of x that satisfies log₂(x) + log₂(x − 2) = 3? (Type in the positive value.)

19

The average of five numbers is 20. When one of the numbers is removed, the average of the remaining four becomes 18. What is the number that was removed?

20

The sum of two positive numbers is 30 and their product is 200. What is the difference between the two numbers?

What is in this test

  • Quantitative Ability, questions 1-20

20 questions in 40 minutes, marked +3 for a correct answer and -1 for a wrong multiple choice answer, with no penalty on type in the answer questions. When you finish you get your marks, a section breakdown and a written explanation for every question. Learn the method first on the topic practice pages and keep the formula sheet handy while you review.