CMAT 2024 Slot 2 Question Paper

Instructions

For the following questions answer them individually

Question 11

3 men and 18 women together take 2 days to complete a piece of work. How many days will 9 women alone take to complete the piece of work; if 6 men alone can complete the piece of work in 3 days?

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Question 12

Given below are two statements :
Statement I: If two chords XV and ZT of a circle intersects internally at point P, then PX - PY = PZ - PT
Statement II: If two chords XV and ZT of a circle intersect internal ly at point P, then PXZ and PTY are similar triangles.
In the light of the above statements, choose the correct answer from the options given below:

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Question 13

If a% of a + b% of b = 2% of ab, then what percent of a is b?

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Question 14

Given below are two statements :
Statement I: The perimeter of a triangle is greater than the sum of its three medians.
Statement II: In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2 AD.
In the light of the above statements, choose the correct answer from the options given below :

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Question 15

A player can take a maximum of 4 chances to hit a bottle with a flying disc. The probability of hitting the bottle at the first, second, third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively. What is the probability that the player hits the bottle with the flying disc?

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Question 16

A vessel of 160 L is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found out that the vessel is vacated by 55%, then the quantity of milk and water in the original mixture is

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Question 17

There are 70 stations on a railway line. The number of different journey tickets that are require by the authorities , is

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Question 18

Which two figures will have same area?
(A) Circle with diameter of 14 cm.
(B) Rectangle with length 12 cm and breadth 10 cm.
(C) Rectangle with length 14 cm and breadth 11 cm.
(D) Square with side 12 cm.

Choose the correct answer from the options given below :

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Question 19

Arrange the following surds in increasing order :
(A) $$\sqrt[3]{2}$$
(B) $$\sqrt{3}$$
(C) $$\sqrt[4]{5}$$
(D) $$\sqrt[6]{7}$$
Choose the correct answer from the options given below :

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Question 20

Mr. Seth inherits 2505 gold coins and divides them among his three sons : Brij, Purab and Mohan in a certain ratio. Out of the total coins received by each of them, Brij sells 30 coins, Purab donates his 30 coins and Mohan looses 25 coins. Now, the ratio of gold coins with them is 46 : 41 : 34 respectively. How many coins did Purab receive from his father?

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