Jee mains class 11th ch 1 dpp

1. DPP
For
Sets
11th JEE

4. A
B
C
D
1
What is the set builder form of the set
{1, 3, 7, 15, 31}?

5. 2
Write the following set in the set-builder form:
{1, 4, 9,........, 100}

6. 3
Show that the set of letters needed to spell
“CATARACT” and the set of letters needed to spell
“TRACT” are equal.

7. A
B
C
D
4
Let X = {x : x = n3
+ 2n + 1, n ∈ N} and
Y = {x : x = 3n2
+ 7, n ∈ N} then
None of these

8. A
B
C
D
5
Let A and B be two sets. The set A has 2016 more
subsets than B. If A ∩ B has 3 members, then the
number of members in A ∪ B is
10
12
11
13

9. A
B
C
D
6
Let A = {x : x is a multiple of 3} and
B = {x : x is a multiple of 5}. Then A ⋂ B is given by
{3, 6, 9, …….}
{15, 30, 45,........}
{5, 10, 15, 20,
………}
None of these

10. 7
If X and Y are two sets such that n(X) = 17,
n(Y) = 23 and n(X ∪ Y) = 38, find n(X ∩ Y).

11. 8 If S and T are two sets such that S has 21
elements, T has 32 elements, and
S ∩ T has 11 elements, how many elements does
S ∪ T have?

12. 9
In a group of 70 people, 37 like coffee, 52 like tea,
and each person likes at least one of the two
drinks. How many people like both coffee and tea?

13. A
B
C
D
10 India today conducted a survey if people taking
tea/coffee. Out of 9000 people, 5550 people take
tea, 3600 people take coffee and 1500 people take
both tea and coffee. How many people take neither
tea nor coffee?
350
1120
700
1350

14. A
B
C
D
11
A, B, C are three sets such that n(A) = 25,
n(B) = 20, n(c) = 27, n( A ∩ B) = 5, n(B ∩ C) = 7
and A ∩ C = ф then n(A ∪ B ∪ C) is equal to
60
67
65
72

15. 12
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = (1, 2, 3, 4},
B = {2, 4, 6, 8} and C = {3, 4, 5, 6}.
Find: (i) B’ (ii) (A ∩ C)’

16. 13
If U = {2, 3, 5, 7, 9} is the universal set and
A = {3, 7}, B = {2, 5, 7, 9}, then prove that:

17. A
B
C
D
14 Consider the two sets:
A = {m ∈ R : both the roots of
x2
- (m + 1)x + m + 4 = 0 are real} and B = [-3, 5).
Which of the following is not true?
A ∩ B = {-3}
A ∪ B = R
B - A = (-3, 5)
A - B = (-∞, -3) ∪ (5, ∞)

18. 15 If A and B be two sets containing 3 and 6 elements
respectively, what can be the minimum number of
elements in A ∪ B? Find also, the maximum
number of elements in A ∪ B.

19. A
B
C
D
16
If the difference between the number of subsets of
the sets A and B is 120, then choose the incorrect
option.
Maximum value of n(A ∩ B) = 3
Maximum value of n(A ∪ B) =
21
Minimum value of n(A ∩ B) = 0
Minimum value of n(A ∪ B) = 7

20. 17 A survey shows that 63% of the Americans like
cheese whereas 76% like apples. If x% of the
Americans like both cheese and apples, find the
value of x.

21. 18
In a group of 1000 people, there are 750 who can
speak Hindi and 400 who can speak Bengali. How
many can speak Hindi only? How many can speak
Bengali? How many can speak both Hindi and
Bengali?

22. A
B
C
D
19
In a certain town 25% families own a cell phone,
15% families own a scooter and 65% families own
neither a cell phone nor a scooter. If 1500 families
own both a cell phone and a scooter, then the total
number of families in the town is
10000
30000
20000
40000

23. A
B
C
D
20 If in a class there are 200 students in which 120 take
Mathematics, 90 take Physics, 60 take Chemistry, 50
take Mathematics and Physics, 50 take Mathematics and
Chemistry, 43 take Physics and Chemistry and 38 take
Mathematics, Physics and Chemistry, then the number of
students who have taken exactly one subject is
42
270
56
98

24. -AIR 203
-AIR 203

26. Answer Key Ques. No. Answer Ques. No. Answer
1 D 11 A
2 10 12
3 13
4 C 14 D
5 D 15 9, 6
6 C 16 C
7 2 17 63
8 42 18 250
9 19 19 C
10 D 20 D

27. Solution:
1

28. Solution:
2

29. Solution:
3

30. Solution:
4

31. Solution:
5

32. Solution:
6

33. Solution:
7

34. Solution:
8

35. Solution:
9

36. Solution:
10
People taking neither tea nor coffee = 1350.
Hence (D) is the correct answer.
1350
Coffee
2100
Tea
4050
1500

37. Solution:
11

38. Solution:
12

39. Solution:
13

40. Solution:
13

41. Solution:
14

42. Solution:
15

43. Solution:
15

44. Solution:
16

45. Solution:
17

46. Solution:
18

47. Solution:
19
20% 5% 10%
Phone Scooter 65%
Let the total population of town be x.

48. Solution:
20