# 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 = {x|x is a family owning two or more sets}, B = {x|x is a family with one set, } C= {x|x is a family with income less than Rs 6000/-}, D = {x|x is a family with income Rs 6000/- to Rs 10999/-}, E = {x|x 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
1. 152,580
2. 152,20
3. 152,50
4. 152,496

4. #### {1,3,5,6,7,8,9}

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

1. 24
2. 9
3. 29
4. None

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?

1. 3,000
2. 2,000
3. 2,000
4. None

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

1. 360
2. 280
3. 160
4. None

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.

1. 88
2. 244
3. 122
4. None

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

1. Inconsistent since 42+17 + 27-7- 13 - 18 + 3 ≠ 50
2. Consistent
3. Cannot determine due to data insufficiency
4. None

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

1. Inconsistent since 59 + 62+ 62- 35-33 31+22 ≠100
2. Consistent
3. cannot determine due to data insufficiency
4. None

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.

1. 42
2. 8
3. 10
4. 43

Q:10 Out of 1000 students 658 failed in the aggregate, 166 in the aggregate and in group-I 434 in aggregate and in group-II, 372 in group-I, 590 in group-II and 126 in both the groups. How many failed in aggregate or group-II but not in group-1?

1. 206
2. 464
3. 628
4. 164

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