CMAT 2020

Instructions

For the following questions answer them individually

Question 11

X and Y are running towards each other from their houses. X can reach Y’s house in 25 minutes which is half the time taken by Y to run from his house to X’s house. If the two start to run towards each otherat the same time, then how much more time it will be required by Y to reach the middle of houses ?

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Question 12

25,000/- is borrowed at compound interest at the rate of 3% for first year, 4% for $$2^{nd}$$ year and 5% for $$3^{rd}$$ year. Find the amount to be paid after 3 years.

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Question 13

Two successive discounts of 8% and 12% are equal to a single discount of:

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Question 14

A shopkeeper marks his books at 25% above the cost price. Due to slump in the market, his cost reduces by 5%. And then,to boost his sale, he offered a discount of 8% due to which sales goes up by 25%. Compute the change in the shopkeepers profit.

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Question 15

Brother and sister both appear for an interview. The probability of the selection of brother is $$\frac{1}{8}$$ while the probability of rejection of sister is $$\frac{4}{5}$$ What is the probability that only one of them is selected ?

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Question 16

Tom's salary is 150% of John’s salary. John’s salary is 80% of Steve’s salary. What is the ratio of Steve's salary to Tom’s salary ?

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Question 17

There are six teachers. Out of them, two teach physics, other two teach Chemistry and the rest two teach Mathematics. They have to stand in a row such that Physics, Chemistry and Mathematics teachers are always in a set. The numberof ways in which they can do, is :

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Question 18

Five years ago, the average age of A,B,C and D was 45 years. By including X in the present lot their present average changes to 49 years. What is the present age of X?

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Question 19

Which of the following sets of numbers can be used as the lengths of the sides of a triangle ?

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Question 20

In how many different ways, can the letters of the words EXTRA be arranged so that the vowels are never together ?

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