CMAT 2021 Slot 1 Question Paper


For the following questions answer them individually

Question 11

If $$x^{2}-3x+2$$ is a factor of $$x^{4}-px^{2}+q$$, then (p,q) =

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Question 12

In a 100 meter race, A beats B by 10 meters and B beats C by 5 meters. By how many meters does A beat C?

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Question 13

Mohan bought a trouser at 10% discount and sold it to Sohan at a loss of 10%. If Sohan paid Rs. 729 for the trouser to Mohan, then what was the undiscounted price of the trouser?

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Question 14

Which of the following graphs represent the function of x?

Choose the correct answer from the options given below :

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Question 15

The following pie-chart indicates the monthly domestic budget of a family:

where A = Food: B = Conveyance; C = Clothing: D = House Rent: E = Miscellaneous Expenses:
           F = Saving.

If the monthly saving of the family is Rs. 4500, then the monthly income of the family is:

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Question 16

Two sisters Neha and Monica walk to school from the house. Neha takes 40 minutes while Monica takes 30 minutes. One day Neha started 5 minutes earlier than Monica. In how many minutes would Monica overtake Neha?

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Question 17

Given below are two statements
Statement I : A committee of 4 can be made out of 5 men and 3 women containing at least one woman in 65 ways.
Statement II : The number of words which can be formed using letters of the word ARRANGE' so that vowels always occupy even place is 36.

In light of the above statements, choose the correct answer from the options given below

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Question 18

If $$A:B = C:D$$, then the value of $$\frac{A^{2}+B^{2}}{C^{2}+D^{2}}$$ is

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Question 19

The dimensions of a floor are $$18\times24$$. What is the smallest number of identical square tiles that pave the entire floor without the need to break any tile?

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Question 20

Which of the following statements regarding quadratic equations are true?
(A) Solution set for the equation $$6x^{2}-5x=4$$ is $$\left\{-\frac{1}{2},\frac{4}{3}\right\}$$
(B) The nature of the roots of the equation $$9x^{2}+6x+1=0$$ is equal, real and rational.
(C) If one root of $$4x^{2}-3x+K=0$$ is 3 times the other, then $$K=\frac{27}{256}$$

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