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Case Study Based Questions Class 11  Mathematics
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Case Study Based Questions Class 11 Mathematics
CASE STUDY1 CHAPTER 1 SET THEORY
French = 17, English = 13, Sanskrit = 15
French and English = 09, English and Sanskrit = 4
French and Sanskrit = 5, English, French and Sanskrit = 3.
Find the number of students who study :
a) 2
b) 6
c) 20
d) None of these
Q 2) English only
a) 9
b) 6
c) 1
d) 3
Q 3) Sanskrit only
a) 6
b) 12
c) 9
d) 3
Q 4) English and Sanskrit but not French
a) 2
b) 1
c) 3
d) 6
Q 5) French and Sanskrit but not English
a) 2
b) 6
c) 8
d) 10
Q 6) French and English but not Sanskrit
a) 2
b) 4
c) 6
d) 12
Q 7) At least one of the three languages
a) 2
b) 20
c) 36
d) 30
Q 8) None of the three languages
a) 30
b) 18
c) 20
d) None of these
Question 
Answer 
1 
b 
2 
d 
3 
c 
4 
b 
5 
a 
6 
c 
7 
d 
8 
c 
CASE STUDY2 CHAPTER 1 SET THEORY
Two nonempty sets A and B are given byA = {x : x is a letter in I LOVE MATHEMATICS
B = { x : x is a letter in I LOVE STATISTICS
Based on the above information, answer the following questions.
a) A = B
b) A ⊂ B
c) B ⊂ A
d) None of these
Q 2) A áˆ€ B is equal to
a) A
b) B
c) A ⋂ B
d) Ñ„
Q 3) A ⋂ B is equal to
a) A
b) B
c) A áˆ€ B
d) Ñ„
Q 4) B – A is equal to
a) A
b) B
c) A – B
d) Ñ„
Q 5) Number of proper subsets of set B is
a) 512
b) 511
c) 1024
d) 1023
Question 
Answer 
1 

2 

3 

4 

5 

CASE STUDY1 CHAPTER 2 RELATIONS & FUNCTIONS
i) A X B as a set of ordered pair
a) {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2), (4, 0), (4, 1), (4, 2)
b) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2), (4, 1), (4, 2), (5, 1), (5, 2)}
c) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2), (4, 1), (4, 2)
d) {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2), (4, 0), (4, 1), (4, 2), (5, 0), (5, 1),(5, 2)
a) {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2), (4, 0), (4, 1), (4, 2)
b) {(0, 1), (0, 2), (1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2), (4, 1), (4, 2)
c) {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2), (4, 0), (4, 1), (4, 2), (5, 0), (5, 1), (5, 2)
d) {(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2), (4, 1), (4, 2)
R = {(x, y): x + y = 4, x ∈ A, y ∈ B} as a set of ordered pair is
a) R = {(1, 3), (3, 1), (0, 4), (4, 0)
b)R = {(2, 2), (3, 1), (1, 3)
c) R = {(2, 2), (3, 1), (4, 0)}
d) R = {(2, 2), (1, 3), (0, 4)}
a) {0, 1, 3, 4}
b) {1, 2, 3}
c) 2, 3, 4}
d) {0, 1, 2}
a) {0, 1, 2}
b) {2, 3, 4}
c) {1, 2, 3}
d) {0, 1, 3, 4}
Question 
Answer 
1 

2 

3 

4 

5 

CASE STUDY2 CHAPTER 2 RELATIONS & FUNCTIONS
Question 
Answer 
1 

2 

3 

4 

5 

CASE STUDY1 CHAPTER 6 LINEAR INEQUALITIES
Marks obtained by Radhika in quarterly and half yearly examinations of Mathematics are 60 and 70 respectively.
Based on the above information, answer the following questions
i) Minimum marks she should get in the annual exam to have an average of at least 70 marks is
a) 80
b) 85
c) 75
d) 90
ii) Maximum marks, she should get in the annual exam to have an average of at most 75 marks is
a) 85
b) 90
c) 95
d) 80
iii) Range of marks in annual exam, so that the average marks is at least 60 and at most 70 is
a) [60, 70]
b) [50, 80]
c) [50, 70]
d) [60, 80]
iv) If the average of at least 60 marks is considered pass, then minimum marks she need to score in annual exam to pass is
a) 60v) If she scored at least 20 and at most 80 marks in annual exam, then the range of average marks is
a) [50, 70]
b) [60, 70]
c) 50, 60]
d [50, 80]
Question 
Answer 
1 

2 

3 

4 

5 

CASE STUDY1 CHAPTER 7
PERMUTATIONS & COMBINATIONS
Q2) How many different telephone numbers are there in the city, if there is no restriction.
a)
b)
c)
d)
Q3) How many different telephone numbers are there in each zone with all digits distinct?
c) ^{10}P_{6}
Q4) How many different telephone numbers are there in each zone if repetition of digits is allowed.
c) ^{10}P_{6}
Q5) How many different telephone numbers are there in the city, if first two digits of different zones are 12, 23, 34, 45, 56, and 67?
a)
b)
c)
d)
Question 
Answer 
1 
a 
2 
b 
3 
d 
4 
b 
5 
a 
CASE STUDY2 CHAPTER 7
PERMUTATIONS & COMBINATIONS
Question 
Answer 
1 
b 
2 
a 
3 
c 
4 
d 
5 
a 
CASE STUDY1 CHAPTER 9
SEQUENCE & SERIES
Arithmetic Progression is a sequence in which the difference
of any two consecutive terms remain same throughout the sequence. Above figures
are made up of squares and the count of these squares are in AP. Carefully
observe above figures.
Based on the above information answer the following
questions
Q1) How many squares will be in 10^{th} figure ?
a) 17 b) 31 c) 34 d)
37
Q2) Which figure will
have 79 small squares ?
a) 23rd b) 24th c) 25th d) 26th
Q3) If each square has a side of length 0.5 cm, what will
be the area of the 12^{th}
figure ?
a) 9.75 cm^{2} b) 10 cm^{2} c) 10.75 cm^{2} d) 11 cm^{2}
Q4) The number of squares in the figures shown are in A. P.
Which of the following will not be a part of this sequence ?
a) 67 b) 85 c) 93 d) 139
Q5) ) If the side of
each small square is 0.5 cm, what is the
sum of the areas of first 10 figures ?
Question  Answer 
1  c 
2  c 
3  b 
4  c 
5  b 
CASE STUDY2 CHAPTER 9
SEQUENCE & SERIES
Question  Answer 
1  b 
2  c 
3  b 
4  d 
5  b 
CASE STUDY3 CHAPTER 9
SEQUENCE & SERIES
Question  Answer 
1  a 
2  b 
3  c 
4  b 
5  d 
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