Modern Math - Sets - Previous Year CAT/MBA Questions

The best way to prepare for Modern Math - Sets is by going through the previous year Modern Math - Sets CAT questions. Here we bring you all previous year Modern Math - Sets CAT questions along with detailed solutions.

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1. CAT 2018 QA Slot 2 | Modern Math - Sets CAT Question

If A = {6²ⁿ - 35n - 1: n = 1, 2, 3, ...} and B = {35(n - 1) : n = 1,2,3,...} then which of the following is true?

(a)
Every member of A is in B and at least one member of B is not in A
(b)
At least one member of A is not in B
(c)
Every member of B is in A.
(d)
Neither every member of A is in B nor every member of B is in A

2. CAT 2018 QA Slot 2 | Modern Math - Sets CAT Question

For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is

(a)
6
(b)
8
(c)
9
(d)
7

3. CAT 2007 QA | Modern Math - Sets CAT Question

Consider the set S = {2, 3, 4, ..., 2n + 1}, where n is a positive integer larger than 2007. Define X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X – Y?

(a)
0
(b)
1
(c)
n/2
(d)
n + 1/2n
(e)
2008

4. CAT 2006 QA | Modern Math - Sets CAT Question

Consider the set S = {1, 2, 3, …, 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?

(a)
3
(b)
4
(c)
6
(d)
7
(e)
8

5. CAT 2005 QA | Modern Math - Sets CAT Question

Let S be a set of positive integers such that every element n of S satisfies the conditions

a. 1000 ≤ n ≤ 1200
b. every digit in n is odd

Then how many elements of S are divisible by 3?

(a)
9
(b)
10
(c)
11
(d)
12

6. CAT 2003 QA - Leaked | Modern Math - Sets CAT Question

Let T be the set of integers {3, 11, 19, 27, ..., 451, 459, 467} and S be a subset of T such that the sum of no two elements of S is 470. The maximum possible number of elements in S is

(a)
32
(b)
28
(c)
29
(d)
30

7. CAT 2003 QA - Retake | Modern Math - Sets CAT Question

Consider the sets T_n = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3, … , 96.

How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?

(a)
80
(b)
81
(c)
82
(d)
83

8. CAT 2000 QA | Modern Math - Sets CAT Question

The set of all positive integers is the union of two disjoint subsets

{f(1), f(2) ....f(n),......} and {g(1), g(2),......,g(n),......}, where

f (1) < f(2) <...< f(n) ....., and g(1) < g(2) <...< g(n) ......., and

g(n) = f(f(n)) + 1 for all n ≥ 1.

What is the value of g(1)?

(a)
Zero
(b)
Two
(c)
One
(d)
Cannot be determined

Modern Math - Sets - Previous Year CAT/MBA Questions

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