The sample question paper on the Quantitative Techniques & Data Interpretation topic for CMAT entrance examination has been mentioned below.

Quantitative Techniques & Data Interpretation

1. A person invested 1,00,000 at 8% simple interest for 5 years and reinvested the amount received at 10% simple interest for 2 years. What was the final amount received by him?
(a) 1,56,000 (b) 1,60,000 (c) 1,68,000 (d) 1,70,000

2. A 100 liters spirit water solution contains 75% spirit. Find the amount of water to be added to convert it into 60% spirit solution.
(a) 15 liters (b) 25 liters (c) 40 liters (d) 20 liters

3. Ajay started a firm with a capital of 28,000. After 5 months, Boman joined him and invested 40,000 in the firm. Chirag was also added as a new partner with an individual investment of 56,000 after 7 months of commencement. If at the end of the year, the profit of the firm is 32,000, what is the share of Boman?
(a) 12,000 (b) 8,000 (c) 14,000 (d) 10,000

4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.
What is net percentage increase/decrease in the price of the machine?
(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

5. The question given below is followed by two statements, I and II. Mark the answer using the following instructions:
Mark (a) if the question can be answered by using statement I alone, but not by using statement II alone.
Mark (b) if the question can be answered by using statement II alone, but not by using statement I alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.
Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?
I. The number of boys is 30% more than the number of girls.
II. The number of girls is 15 less than the number of boys.

4. The price of a machine increases by 20% in a year and decreases by 15% in the following year.
What is net percentage increase/decrease in the price of the machine?
(a) 1% increase (b) 2% increase (c) 1% decrease (d) 2% decrease

5. The question given below is followed by two statements, I and II. Mark the answer using the following
Mark (a) if the question can be answered by using statement I alone, but not by using statement II
Mark (b) if the question can be answered by using statement II alone, but not by using statement I
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.
Q. In a class, the ratio of boys to girls is 13 : 10. How many boys are there in the class?
The number of boys is 30% more than the number of girls.
The number of girls is 15 less than the number of boys.

6. A person covers 180 km, 240 km and 300 km by car, train and bus respectively. Find the average speed of the whole journey if the speed of car, train and bus is 60 km/hr, 80 km/hr and 50 km/hr respectively.
(a) 1 63/3 km/hr (b) 60 km/hr (c) -

7. 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 if it travels slower by 18 km/hr. Find the length of the train.
(a) 400 m (b) 250 m (c) 300 m (d) 200 m


8. Which company recorded the highest percentage increase in profit over the previous quarter during any of the four quarters?

(a) Sun Entertainment (b) Moon Pvt. Ltd. (c) Star International (d) Both (a) and (b)

9. If f(x) = x2 – 3x + 2 and g(x) = x3 – 2x, find the value of g(f(x)), for x = 4.
(a) 214 (b) 204 (c) 212 (d) 202

10. The digit at the unit place of the product 1213 × 135 × 142 is
(a) 6 (b) 4 (c) 0 (d) 2

11. A work gets completed in 10 days if either 5 men and 4 women work on it or 7 men and 3 women work on it. How long will 10 men take to complete the work?
(a) 9 days (b) 10 days (c) 14 days (d) 13 days

12. If two pipes can fill a cistern of capacity 1,00,000 liters in 20 hours and 30 hours respectively, find the time taken by both of them to fill 75,000 liters of water in it.
(a) 24 hours (b) 9 hours (c) 20 hours (d) 12 hours

13. The question given below is followed by two statements, I and II. Mark the answer using the following
instructions:
Mark (a) if the question can be answered by using statement I alone, but not by using statement II alone.
Mark (b) if the question can be answered by using statement II alone, but not by using statement I alone.
Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
Mark (d) if the question cannot be answered even by using both the statements together.

Q. The average marks of three students X, Y and Z were 2025. What were the marks of each student?
I. Y and Z together secured 1324 marks.
II. X and Z together secured 1355 marks.

14. The remainder when 2582 is divided by 27 is
(a) 2 (b) 25 (c) 1 (d) 0

15. The average of 5 numbers is 150. The largest number exceeds the smallest number by 100. If the five numbers are in arithmetic progression, find the smallest number.
(a) 100 (b) 150 (c) 170 (d) 135

16. Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 meters in a minute, if water is flowing at the rate of 30 km per hour.
(a) 7.7 × 107 (b) 1.54 × 106 (c) 1.54 × 107 (d) 7.7 × 106

17. Find 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