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 = {(𝑉
1
, 𝑉
2
) ∶ 𝑉
1
, 𝑉
2
∈ 𝐼 and both use their voting right in general election – 2019}
Question 1
Two neighbors X & 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
Question 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
Question 3
Three friends F
1
, F
2
and F
3
exercised their voting right in general election-2019, then which of the following is true?
(a) (F
1
, F
2
) ∈ R, (F
2
, F
3
) ∈ R and (F
1
, F
3
) ∈ R
(b) (F
1
, F
2
) ∈ R, (F
2
, F
3
) ∈ R and (F
1
, F
3
) ∉ R
(c) (F
1
, F
2
) ∈ R, (F
2
, F
2
) ∈ R but (F
3
, F
3
) ∉ R
(d) (F
1
, F
2
) ∉ R, (F
2
, F
3
) ∉ R and (F
1
, F
3
) ∉ R
Question 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
Question 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