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CMAT

Description: CMAT Quiz: Test Your Aptitude and Reasoning Skills
Number of Questions: 16
Created by:
Tags: cmat aptitude reasoning
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If (x^2 + y^2 = 25) and (xy = 6), find the value of (x + y).

  1. 5

  2. 7

  3. 9

  4. 11

Show answer
Correct Option: B
Explanation:

Using the identity ((x + y)^2 = x^2 + y^2 + 2xy), we have ((x + y)^2 = 25 + 2(6) = 37). Therefore, (x + y = \sqrt{37} = 7).

A train leaves Mumbai at 10:00 AM and travels at a speed of 60 km/h. Another train leaves Delhi at 11:00 AM and travels towards Mumbai at a speed of 70 km/h. If the distance between Mumbai and Delhi is 1300 km, at what time will the two trains meet?

  1. 1:30 PM

  2. 2:00 PM

  3. 2:30 PM

  4. 3:00 PM

Show answer
Correct Option: C
Explanation:

The relative speed of the two trains is (70 + 60 = 130) km/h. Therefore, the time taken for the trains to meet is (1300 / 130 = 10) hours. Since the first train leaves at 10:00 AM and the second train leaves at 11:00 AM, the two trains will meet at 11:00 AM + 10 hours = 2:30 PM.

A shopkeeper sells a product for (\$100) and makes a profit of 20%. If the cost price of the product is (\$x), find the value of (x).

  1. (\$80)

  2. (\$83.33)

  3. (\$85)

  4. (\$86.67)

Show answer
Correct Option: B
Explanation:

Profit (\$100 - \$x) = 20% of (\$x). Therefore, (100 - x = 0.2x). Solving for (x), we get (x = \$83.33).

In a certain code, 'CAT' is written as '312' and 'DOG' is written as '415'. How is 'RAT' written in that code?

  1. 213

  2. 321

  3. 231

  4. 123

Show answer
Correct Option: C
Explanation:

In the given code, each letter is assigned a number based on its position in the alphabet. For example, 'C' is assigned the number '3', 'A' is assigned the number '1', and 'T' is assigned the number '2'. Therefore, 'RAT' is written as '231'.

A company has 100 employees, out of which 60 are men and 40 are women. If 20% of the men and 30% of the women are promoted, how many employees in total are promoted?

  1. 22

  2. 24

  3. 26

  4. 28

Show answer
Correct Option: C
Explanation:

Number of men promoted = 20% of 60 = 12. Number of women promoted = 30% of 40 = 12. Therefore, the total number of employees promoted = 12 + 12 = 24.

Which of the following is not a type of logical fallacy?

  1. Ad hominem

  2. Straw man

  3. Begging the question

  4. Affirming the consequent

Show answer
Correct Option: D
Explanation:

Affirming the consequent is a valid argument form, unlike the other options which are logical fallacies.

A train crosses a 100-meter long bridge in 10 seconds. If the speed of the train is 72 km/h, what is the length of the train?

  1. 150 meters

  2. 175 meters

  3. 200 meters

  4. 225 meters

Show answer
Correct Option: C
Explanation:

Speed of the train in m/s = (72 * 1000) / 3600 = 20 m/s. Length of the train = Speed * Time = 20 * 10 = 200 meters.

Which of the following is not a measure of central tendency?

  1. Mean

  2. Median

  3. Mode

  4. Range

Show answer
Correct Option: D
Explanation:

Range is a measure of dispersion, not central tendency.

A shopkeeper sells two types of apples, A and B. Apples of type A cost (\$2) each and apples of type B cost (\$3) each. If the shopkeeper sells 100 apples in total for (\$250), how many apples of type A did he sell?

  1. 40

  2. 50

  3. 60

  4. 70

Show answer
Correct Option: B
Explanation:

Let (x) be the number of apples of type A sold and (y) be the number of apples of type B sold. We know that (x + y = 100) and (2x + 3y = 250). Solving these equations, we get (x = 50) and (y = 50).

Which of the following is not a type of probability distribution?

  1. Normal distribution

  2. Binomial distribution

  3. Poisson distribution

  4. Uniform distribution

Show answer
Correct Option: D
Explanation:

Uniform distribution is not a probability distribution, but rather a type of continuous distribution.

A company has 100 employees, out of which 60 are men and 40 are women. If 20% of the men and 30% of the women are promoted, how many employees in total are promoted?

  1. 22

  2. 24

  3. 26

  4. 28

Show answer
Correct Option: C
Explanation:

Number of men promoted = 20% of 60 = 12. Number of women promoted = 30% of 40 = 12. Therefore, the total number of employees promoted = 12 + 12 = 24.

Which of the following is not a type of logical fallacy?

  1. Ad hominem

  2. Straw man

  3. Begging the question

  4. Affirming the consequent

Show answer
Correct Option: D
Explanation:

Affirming the consequent is a valid argument form, unlike the other options which are logical fallacies.

A train crosses a 100-meter long bridge in 10 seconds. If the speed of the train is 72 km/h, what is the length of the train?

  1. 150 meters

  2. 175 meters

  3. 200 meters

  4. 225 meters

Show answer
Correct Option: C
Explanation:

Speed of the train in m/s = (72 * 1000) / 3600 = 20 m/s. Length of the train = Speed * Time = 20 * 10 = 200 meters.

Which of the following is not a measure of central tendency?

  1. Mean

  2. Median

  3. Mode

  4. Range

Show answer
Correct Option: D
Explanation:

Range is a measure of dispersion, not central tendency.

A shopkeeper sells two types of apples, A and B. Apples of type A cost (\$2) each and apples of type B cost (\$3) each. If the shopkeeper sells 100 apples in total for (\$250), how many apples of type A did he sell?

  1. 40

  2. 50

  3. 60

  4. 70

Show answer
Correct Option: B
Explanation:

Let (x) be the number of apples of type A sold and (y) be the number of apples of type B sold. We know that (x + y = 100) and (2x + 3y = 250). Solving these equations, we get (x = 50) and (y = 50).

Which of the following is not a type of probability distribution?

  1. Normal distribution

  2. Binomial distribution

  3. Poisson distribution

  4. Uniform distribution

Show answer
Correct Option: D
Explanation:

Uniform distribution is not a probability distribution, but rather a type of continuous distribution.

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