# Topic: Chapter 1: Relation and Function (Test 1)

Topic: Chapter 1: Relation and Function
Q.1
If  n(A× B) = 6 and A = {1, 3} then n(B) is
A. 1
B. 2
C. 3
D. 6
Answer : Option C
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Q.2
A = {a,b, p},  B = {2, 3}, = {p,q,r,s} then n[(A C B] is
A. 8
B. 20
C. 12
D. 16
Answer : Option C
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Q.3
If  A = {1, 2}, B = {1, 2, 3, 4}, = {5, 6} and D = {5, 6, 7, 8} then state which of the following statement is true.
A. (A×C ) ⊂ (B × D)
B. (B × D) ⊂ (A×C )
C. (A× B) ⊂ (A× D)
D. (D × A) ⊂ (B × A)
Answer : Option A
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Q.4
If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is
A. 3
B. 2
C. 4
D. 8
Answer : Option B
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Q.5
The range of the relation R = {(x, x2 ) | x is a prime number less than 13} is
A. {2,3,5,7}
B. {2,3,5,7,11}
C. {4,9,25,49,121}
D. {1,4,9,25,49,121}
Answer : Option C
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Q.6
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a,b) is
A. (2, –2)
B. (5,1)
C. (2,3)
D. (3, –2)
Answer : Option D
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Q.7
Let n(A) = and n(B) = n then the total number of non-empty relations that can be defined from A to B is
A. Mn
B. Nm
C. 2mn – 1
D. 2mn
Answer : Option C
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Q.8
If {(a, 8),(6,b)} represents an identity function, then the value of a and b are respectively
A. (8,6)
B. (8,8)
C. (6,8)
D. (6,6)
Answer : Option A
Explaination / Solution:
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Q.9
Let A = {1, 2, 3, 4} and B = {4, 8, 9,10}. A function f: A B given by= {(1, 4),(2, 8),(3, 9),(4,10)} is a
A. Many-one function
B. Identity function
C. One-to-one function
D. Into function
Answer : Option C
Explaination / Solution:
No Explaination.

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Q.10
If f (x) = 2x2 and g(x) = 1/3x then f o g is
A. B. C. D. Answer : Option C
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