A general election of Lok Sabha is a gigantic
exercise. About 911 million people were eligible to vote and voter turnout was
about 67%, the highest ever
Let I be the set of all citizens of India who were
eligible to exercise their voting right in general election held in 2019. A
relation ‘R’ is defined on I as follows:
R = {(𝑉1,
𝑉2) ∶ 𝑉1, 𝑉2 ∈ 𝐼 and both use
their voting right in general election – 2019}
Q1) Two neighbors X and Y∈ I. X exercised his
voting right while Y did not cast her vote in general election – 2019. Which of
the following is true?
a) (X, Y) ∈ R
b) (Y, X) ∈ R
c) (X, X) ∉ R
d) (X, Y) ∉ R
2. Mr.’𝑋’
and his wife ‘𝑊’both
exercised their voting right in general election -2019, Which of the following
is true?
a) both (X, W) and (W, X) ∈ R
b) (X, W) ∈
R but (W, X) ∉
R
c) both (X, W) and (W, X) ∉ R
d) (W, X) ∈
R but (X, W) ∉
R
Q3) Three friends F1, F2 and F3 exercised their voting
right in general election-2019, then which of the following is true?
a) (F1, F2 ) ∈R,
(F2, F3) ∈ R and (F1,F3) ∈ R
b) (F1, F2 ) ∈
R, (F2,F3) ∈
R and (F1,F3) ∉
R
c) (F1, F2 ) ∈
R, (F2,F2) ∈R
but (F3,F3) ∉
R
d) (F1, F2 ) ∉
R, (F2,F3) ∉
R and (F1,F3) ∉
R
4. The above defined relation R is ______
a) Symmetric and transitive but not reflexive
b) Universal relation
c) Equivalence relation
d) Reflexive but not symmetric and transitive
5. Mr. Shyam exercised his voting right in General
Election – 2019, then Mr. Shyam is related to which of the following?
a) All those eligible voters who cast their votes
b) Family members of Mr. Shyam
c) All citizens of India
d) Eligible voters of India
Answer
|
Q No.
|
Option
|
Answer
|
|
1
|
d
|
(X, Y) ∉R
|
|
2
|
a
|
both (X, W) and (W, X) ∈ R
|
|
3
|
a
|
(F1, F2 ) ∈R, (F2, F3) ∈ R and (F1, F3) ∈ R
|
|
4
|
c
|
Equivalence relation
|
|
5
|
a
|
All those eligible voters who cast their votes
|
CASE STUDY-2 CHAPTER -1
RELATIONS & FUNCTIONS
Sherlin and Danju are playing Ludo at home during
Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the
possible outcomes of the throw every time belongs to set {1,2,3,4,5,6}. Let A
be the set of players while B be the set of all possible outcomes
A = {S, D}, B = {1,2,3,4,5,6}
Q1. Let 𝑅 ∶ 𝐵 → 𝐵 be defined by R =
{(𝑥, 𝑦): 𝑦 𝑖𝑠 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 𝑥 } is
a) Reflexive and transitive but not symmetric
b) Reflexive and symmetric and not transitive
c) Not reflexive but symmetric and transitive
d) Equivalence
2. Raji wants to know the number of functions from A
to B. How many number of functions are possible?
a) 6 2
b) 2 6
c) 6!
d) 2 12
3. Let R be a relation on B defined by R = {(1,2),
(2,2), (1,3), (3,4), (3,1), (4,3), (5,5)}. Then R is
a) Symmetric
b) Reflexive
c) Transitive
d) None of these three
4. Raji wants to know the number of relations possible
from A to B. How many numbers of relations are possible?
a) 6 2
b) 2 6
c) 6!
d) 2 12
5. Let 𝑅:
𝐵 → 𝐵 be defined by
R={(1,1),(1,2), (2,2), (3,3), (4,4), (5,5),(6,6)}, then R is
a) Symmetric
b) Reflexive and Transitive
c) Transitive and symmetric
d) Equivalence
Answers
|
Q No.
|
Option
|
Answer
|
|
1
|
a
|
Reflexive and transitive but not symmetric
|
|
2
|
a
|
62
|
|
3
|
d
|
None of these three
|
|
4
|
d
|
212
|
|
5
|
b
|
Reflexive and Transitive
|
CASE STUDY-1 CHAPTER -3
MATRICES
A manufacture produces three stationery products
Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are
indicated below
|
Market
|
Products in numbers
|
|
|
Pencil
|
Eraser
|
Sharpener
|
|
A
|
10000
|
2000
|
18000
|
|
B
|
6000
|
20000
|
8000
|
If the unit Sale price of Pencil, Eraser and Sharpener
are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above
three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then,
Based on the above information answer the following:
1) Total revenue of market A
a) Rs. 64,000
b) Rs. 60,400
c) Rs. 46,000
d) Rs. 40600
2) Total revenue of market B
a) Rs. 35,000
b) Rs. 53,000
c) Rs. 50,300
d) Rs. 30,500
3) Cost incurred in market A
a) Rs. 13,000
b) Rs.30,100
c) Rs. 10,300
d) Rs. 31,000
4) Profit in market A and B respectively are
a) (Rs. 15,000, Rs. 17,000)
b) (Rs. 17,000, Rs. 15,000)
c) (Rs. 51,000, Rs. 71,000)
d) ( Rs. 10,000, Rs. 20,000)
5) Gross profit in both market
a) Rs.23,000
b) Rs. 20,300
c) Rs. 32,000
d) Rs. 30,200
Answers
Q No.
|
Option
|
Answer
|
|
1
|
c
|
Rs. 46,000
|
|
2
|
b
|
Rs. 53,000
|
|
3
|
d
|
Rs.31,000
|
|
4
|
a
|
Rs.15, 000, Rs.17, 000
|
|
5
|
c
|
Rs. 32,000
|
CASE STUDY-2 CHAPTER -3
MATRICES
CASE STUDY 2:
Amit, Biraj and Chirag were given the task of creating a square matrix of order 2.
Below are the matrices created by them. A, B , C are the matrices created by Amit, Biraj
and Chirag respectively.
A = 
, B = 
, C = 
If a = 4 and b
= −2, based on the above information answer the following:
1. Sum of the matrices A, B and C , A+(𝐵 + 𝐶) is
a) 
b) 
c) 
d) 
2. (𝐴 𝑇
) 𝑇
is equal to
a)
b) 
c) 
d) 
3. (𝑏𝐴)
𝑇
is equal to
a) 
b) 
c) 
d) 
4. AC−𝐵𝐶 is equal to
a) 
b) 
c) 
d) 
5. (𝑎 + 𝑏)𝐵 is equal to
a) 
b) 
c) 
d) 
Answers
|
Q No.
|
Option
|
Answer
|
|
1
|
c
|
|
|
2
|
a
|
|
|
3
|
b
|
|
|
4
|
c
|
|
|
5
|
c
|
|
Case study based questions
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