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Linear Equations || Quantitative Aptitude || CAT 2021 || 21 Jun

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Question 1

If 5x – 3y + 13 = 17 and 15x + 9y = 42 then find the value of 10x – 9y + 3

Question 2

If 4x + 3y = 11 and 3x + 2y = 8 then (x, y) is:

Question 3

If 4x − 7y = 3 and 2x − y = 9 then x − y is:

Question 4

If 2 + 2x < 5 − x/2 and 5x + 3 > 5 − 5x; then x can take which of the following values?

Question 5

If a = 8 + 3√7 and ab = 1 then find the value of a2 + b2 − 7ab.

Question 6

Two students appeared for an examination. One of them secured 24 marks more than the other and his marks were 65% of the sum of their marks. The marks obtained by them are________.

Question 7

Rina has some pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, the number of pencils would have become 4 times the number of pens. Find the original number of pens with Rina.

Question 8

1/10 and 5/8 of bamboo are in mud and water respectively and the rest of length 2.75 m is above water. What is the length of the bamboo?

Question 9

A number is increased by 5 and then divided by 3, the result is 12. What would be the result if 3 is subtracted from the number and then it is divided by 7.

Question 10

If sum of two numbers is 4 times their difference, find the numbers?
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