Mathematical Economics-Online Practice Exam 11

Test

# Question

1. If X = { 4n – 3n – 1/n ∈ N}, Y = {9(n – 1 )/n ∈ N}, then

X ⊂ Y

X ⊆ Y

X = Y

X ⊇ Y

# Question

2. Let A = {0, 1, 3, 4}, B = {5, 6, 1, 3, 9} and C = {1, 2, 3, 4, 9, 13}, then (A ⋂ B) U C is-

{0, 1, 3}

(1, 3}

{0, 1, 2, 3, 4, 9, 13}

C

# Question

3. Let A = {1, 2, 3,…9), B = (2, 4, 6, 7, 8) and C = (3, 4, 5, 8, 9, 10), then (A – B) U C is

{1, 3, 4, 5, 8, 9, 10}

{(1, 2, 3, 4, 5, 6, 7, 8, 9}

{2, 4, 6, 7, 8}

{1, 3, 4, 5, 8, 9}

# Question

4. X = {1, 2, 3}, Y = {3, 4, 5, 6}. (X – Y) U (Y – X) is

{4, 5, 6}

{1, 2, 4}

{1, 2, 4, 5}

{1, 2, 4, 5, 6}

# Question

5. De ‘Morgan’s law is

(A U B)c = (A ⋂ B)c

(A U B)c = Ac ⋂ Bc

(A U B)c = Ac ⋂ Bc

(A U B)c = Ac U Bc

# Question

6. If n (A) = m and n (B) = p and A ⋂ B = ⏀ then n (A U B) is

m – p + 4

m + p – 4

m – p

m + p

# Question

7. If A = (-1, 0, 1). B = (-1, 0) and C = {0, 1). then-

1. (A × B) ⋂ (A × C) = {(-1, 0), (0, 0), (1, 0)}
2. (A × B) U (A × C) = {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 0), (0, 1). (1, -1), (1, 0), (1, 1)}
3. (A ⋂ C) × B = {(0, -1), (0, 0), (1, -1)

Of these statements

I alone is correct

II alone is correct

I and III are correct

I and II are correct

# Question

8. The shaded region in the diagram given below represents

A U (B – C)

( A – B) ⋂ (B – A)

( A – B) U (B – A)

(A – B) U B

# Question

9. The shaded region in the diagram given below represents

B – ( A U C )

A U ( B ⋂ C )

A U ( B – C )

A ⋂ ( B U C )

# Question

10. If 57% of Indian like milk and 75% like tea, how many like both ?

80%

97%

35%

32%

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