CMAT 2023 Slot 1 Question Paper

Instructions

For the following questions answer them individually

Question 11

Given below are two statements:
Statement I : The difference between the cost price and sale price of an article is ₹ 240. If the profit is 20%, then the selling price is ₹ 1440.
Statement II: If the cost price of 10 DVDs is equal to the selling price of 7 DVDs, then the gain percent is $$42\frac{6}{7}%$$
In the light of the above statements, choose the most appropriate answer from the options given below:

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Question 12

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is ₹6500. What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years?

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Question 13

Which of the following statements are true?
A. If $$x : y = 3 : 1$$ then $$x^{3} - y^{3} = \frac{10}{11}$$
B. If $$x = y + 12, x : y = 3:2$$ and $$z:y = 1:3$$, the $$z + x = 44$$
C. If $$3x = 8y$$ and $$5y = 9z$$, then $$\frac{x}{z} = \frac{72}{15}$$
Choose the most appropriate answer from the options given below:

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Question 14

Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17. What is the average of a, b, c, d, e and f?

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Question 15

In the following diagram, if the shaded area is one half the area of triangle ABC and angle ABC is right angle then the length of line segment AD is

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Question 16

Find the range of values of real number x for which the inequality (x + 2) (x + 5) > 40 holds

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Question 17

The least number of square tiles required to pave the floor of a room 15 m 91 cm and 9 m 46 cm broad is

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Question 18

Anil travelled 300 km by bus and 200 km by taxi. For this, it took him 5 hours and 30 minutes. However if he travels 260 km by bus and 240 km by taxi then he takes 6 minutes more. The speed of the bus is ________ km/hour.

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Question 19

Given below are two statements:
Statement I : If the roots of a quadratic equation are 2 and 3, then the equation is $$x^{2} - 5x- 6 = 0$$ 
Statement II: If the roots of $$4x^{2}+3kx + 9 = 0$$ are real and distinct, then $$k \leq - 4$$ or $$k \geq 4$$
In the light of the above statements, choose the most appropriate answer from the options given below:

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Question 20

Given below are two statements:
Statement I: $$(243)^{0.16} \times (9)^{0.1} = 0.3$$
Statement II: If $$3.105 \times 10^{P} = 0.00239 + 0.000715$$, then $$P = -3$$
In the light of the above statements choose the most appropriate answer from the options given below:

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