If *n*(*A*×
*B*) = 6 and *A *= {1, 3} then *n*(*B*) is

**A. ** 1

**B. ** 2

**C. ** 3

**D. ** 6

**Answer : ****Option C**

**Explaination / Solution: **

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If *A *= {1, 2},
*B *= {1, 2, 3, 4}, *C *= {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**

**Explaination / Solution: **

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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**

**Explaination / Solution: **

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The range of the relation *R
*= {(*x*, *x*^{2} ) | *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**

**Explaination / Solution: **

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If the ordered pairs (*a *+
2, 4) and (5, 2*a *+ *b*) are equal then (*a*,*b*) is

**A. ** (2, –2)

**B. ** (5,1)

**C. ** (2,3)

**D. ** (3, –2)

**Answer : ****Option D**

**Explaination / Solution: **

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Let *n*(*A*) = *m
*and *n*(*B*) = *n *then the total number of non-empty
relations that can be defined from *A *to *B *is

**A. ** *M*^{n}

**B. ** *N*^{m}

**C. ** 2^{mn} – 1

**D. ** 2^{mn}

**Answer : ****Option C**

**Explaination / Solution: **

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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: **

No Explaination.

No Explaination.

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Let *A *= {1, 2, 3, 4}
and *B *= {4, 8, 9,10}. *A *function *f*: *A *→ *B *given
by* f *= {(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.

No Explaination.

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If *f *(*x*) = 2*x*^{2}
and *g*(*x*) = 1/3*x* then *f *o *g *is

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

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