## CAT Preparation – Set Theory Question 06

Question: Set A comprises all three digit numbers that are multiples of 5, Set B comprises all three–digit even numbers that are multiples of 3 and Set C comprises all three–digit numbers that are multiples of 4. How many elements are present in A∪B∪C? A) 420 B) 405 C)...

## CAT Preparation – Set Theory Question 05

Question: Of 60 students in a class, anyone who has chosen to study maths elects to do physics as well. But no one does maths and chemistry, 16 do physics and chemistry. All the students do at least one of the three subjects and the number of people who...

## CAT Preparation – Set Theory Question 04

Question: 95% of the students in a class have taken Marketing, 80% have chosen Finance, 84% have chosen operations (ops), and 90% have chosen Human Resources (HR). What is the maximum and minimum percentage of people who have chosen all of the four? A) 80% and 56% B) 95%...

## CAT Preparation – Set Theory Question 03

Question: A´ is defined as the complement of A, as in, set of all elements that are part of the universal set but not in A. How many of the following have to be true? i. n(A∪B)′=n(A′∩B′) ii. If A∩B=0, then A′∪B′ is equal to the universal set iii....

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## CAT Preparation – Set Theory Question 01

Question: Set P comprises all multiples of 4 less than 500. Set Q comprises all odd multiples of 7 less than 500, Set R comprises all multiples of 6 less than 500. How many elements are present in P∪Q∪R ? A) 202 B) 243 C) 228 D) 186 For more CAT...

## CAT Preparation – Progressions Question 05

Question: Consider a, b, c in a G.P. such that |a + b + c|= 15. The median of these three terms is a, and b =10. If a (greater than) c, what is the product of the first 4 terms of this G.P.? A) 40000 B) 32000 C)...

## CAT Preparation – Progressions Question 03

Question: Sequence P is defined by p(n) = p(n–1) +3, p(1) = 11, Sequence Q is defined as q(n) = q(n–1) – 4, q(3) = 103. If p(k) greater than q(k+2), what is the smallest value k can take? A) 6 B) 11 C) 14 D) 15 For more...

## CAT Preparation – Progressions Question 01

Question: If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.? A) 7 times the 13th term B) 0 C) 13 times the 7th term D) 4 times the...

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