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CAT QA MAXIMA MINIMA QUESTIONS

CAT QA MAXIMA MINIMA QUESTIONS - Question 1

CAT QA MAXIMA MINIMA QUESTIONS - Question 2

CAT QA MAXIMA MINIMA QUESTIONS - Question 3

CAT QA MAXIMA MINIMA QUESTIONS - Question 4

CAT QA MAXIMA MINIMA QUESTIONS - Question 5

CAT QA MAXIMA MINIMA QUESTIONS - Question 6

If a, b, and c are integers such that a – b = 6, b + c = 5, and a + 2b > c + 5, then what is the maximum value of 5c – 2b?

CAT QA MAXIMA MINIMA QUESTIONS - Question 7

In a bag, the ratio of the number of pens, pencils and erasers is 2:3:7. A few erasers are taken out and a few pens and pencils are put into the bag such that the ratio now becomes 4:5:9. What could be the minimum possible number of pens that were put into the bag?

CAT QA MAXIMA MINIMA QUESTIONS - Question 8

Given that 22a + 4b = 85c, where a, b and c are positive integers. What is the least possible value of b?

CAT QA MAXIMA MINIMA QUESTIONS - Question 9

What is the minimum number of folds required for a bunch of 14 sheets each sheet having a thickness of 0.38 mm, so that the total height of the stacked bunch will be more than 30 cm? (Assume that a sheet can be folded any number of times)

CAT QA MAXIMA MINIMA QUESTIONS - Question 10

CAT QA MAXIMA MINIMA QUESTIONS - Question 11

Three different numbers are chosen at random from the set (4, 5, 7, 8, 9, 14). If the probability that the three numbers are not in an arithmetic progression is a/b, then find the minimum possible value of a + b.

CAT QA MAXIMA MINIMA QUESTIONS - Question 12

What is the maximum possible value of min (7 + min(y, –3), y – 6)? Given that min(a, b) = smallest of the numbers a and b.

CAT QA MAXIMA MINIMA QUESTIONS - Question 13

CAT QA MAXIMA MINIMA QUESTIONS - Question 14

Mr. Jeweler gave a distinct number of gold coins to each of his seven children. Any four of his children together received more number of gold coins than the remaining three children together. Chandu received the maximum number of gold coins. What is the least number of gold coins that could have been received by Chandu?

CAT QA MAXIMA MINIMA QUESTIONS - Question 15

CAT QA MAXIMA MINIMA QUESTIONS - Question 16

There are two jars A and B. The two jars together had 20 litres of orange juice. First, 6 litres of orange juice were poured from jar A to jar B, and then n litres of orange juice were poured from jar B to jar A to triple the quantity of orange juice that was left in Jar A. At this point, the ratio of quantity of orange juice in jars A and B was 2:1. If the ratio of quantity of orange juice in jars A and B at the beginning is x/y, then find the minimum value of x*y.

CAT QA MAXIMA MINIMA QUESTIONS - Question 17

CAT QA MAXIMA MINIMA QUESTIONS - Question 18

CAT QA MAXIMA MINIMA QUESTIONS - Question 19

CAT QA MAXIMA MINIMA QUESTIONS - Question 20

CAT QA MAXIMA MINIMA QUESTIONS - Question 21

CAT QA MAXIMA MINIMA QUESTIONS - Question 22

Let m and n be positive integers, If x2 + mx + 2n = 0 and x2 + 2nx + m = 0 have real roots, then the smallest possible value of m + n is

CAT QA MAXIMA MINIMA QUESTIONS - Question 23

The minimum possible value of the sum of the squares of the roots of the equation x2 + (a + 3)x - (a + 5) = 0 is

CAT QA MAXIMA MINIMA QUESTIONS - Question 24

For what value of x the value of 8x – x2 + 21 is maximum?