MCQ for CA Foundation Maths Chapter 7 SETS, FUNCTIONS AND RELATIONS
Sample Multiple Choice Questions (MCQ's) for CA Foundation  Paper 3  Business Mathematics and Logical Reasoning & Statistics  Chapter 7 SETS, FUNCTIONS AND RELATIONS  For Practice relevant for Dec 22 and May/June 23 Examinations
Q:1 A sample of income group of 1172 families was surveyed and notice that for income group <Rs 6000/, 6000/ to Rs 10999/, Rs 11000/, to Rs 15999/, Rs 16000 and above No. TV set is available to 70,50,20,50 families one set is available to 152, 308,114,46 families and two or more sets are available to 10 174, 84,94 families.If A = {xx is a family owning two or more sets}, B = {xx is a family with one set, } C= {xx is a family with income less than Rs 6000/}, D = {xx is a family with income Rs 6000/ to Rs 10999/}, E = {xx is a family with income Rs 11000/ to Rs 15999/}, find the number of families in each of the followingsets (i) C∩B (ii) AUE
 152,580
 152,20
 152,50
 152,496
Answer: 4
Q:2 If U = {1,2,..9} be the universal set A = {1,2,3,4} and B = {2,4,6,8} then the set (A∩B)’ is

{1,2,3,4,6,8}

{2,4}

{5,6,7,8,9}

{1,3,5,6,7,8,9}
Answer: 4
Q:3 If P has three elements Q four and R two hoe many elements does the Cartesian product set P×Q×R will have
 24
 9
 29
 None
Answer: 1
Q:4 Out of a total population of 50,000 only 28,000 read Telegraph and 23,000 read Times of India while 4,000 read the both. How many do not read any paper?
 3,000
 2,000
 2,000
 None
Answer: 1
Q:5 Out 2000 staff 48% preferred coffee 54% tea and 64% cocoa. Of the total 28% used coffee and tea 32% tea and cocoa and 30% coffee and cocoa. Only 6% did none of these. Find the number having tae and cocoa but not coffee
 360
 280
 160
 None
Answer: 2
Q:6 After qualifying out of 400 professionals, 112 joined industry, 120 started practice and 160 joined as paid assistants. There were 32, who were in both practice and service 40 in both practice and assistantship and 20 in both industry and assistantship. There were 12 who did all the three. Find how many of them did only one of these.
 88
 244
 122
 None
Answer: 2
Q:7 A marketing research team interviews 50 people about their drinking habits of tea coffee or milk or A BC respectively. Following data is obtained but the Manager is not sure whether these are consistent.
Category No. Category No.
ABC 3 A 42
AB 7 B 17
BC 13 C 27
AC 18
 Inconsistent since 42+17 + 277 13  18 + 3 ≠ 50
 Consistent
 Cannot determine due to data insufficiency
 None
Answer: 1
Q:8 In a market survey you have obtained the following data which you like to examine regarding its correctness:
Did not use the brand 
April 
May 
June 
April & May 
May & June 
April & June 
April, May & June 
Percentage answering ‘Yes' 
59 
62 
62 
35 
33 
31 
22 
 Inconsistent since 59 + 62+ 62 3533 31+22 ≠100
 Consistent
 cannot determine due to data insufficiency
 None
Answer: 1
Q:9 Consider the following data:

Skilled & Direct Worker 
Unskilled and Direct Worker 
Skilled & Indirect Worker 
Unskilled & Indirect Worker 
Short Term 
6 
8 
10 
20 
Medium Term 
7 
10 
16 
9 
Long Term 
3 
2 
8 
0 
IfSMLTI denote short medium long terms skilled and indirect workers respectively find the number of workers in set S∩T∩I.
 42
 8
 10
 43
Answer: 3
Q:10 Out of 1000 students 658 failed in the aggregate, 166 in the aggregate and in groupI 434 in aggregate and in groupII, 372 in groupI, 590 in groupII and 126 in both the groups. How many failed in aggregate or groupII but not in group1?
 206
 464
 628
 164
Answer: 3
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