1.
Factorize: 6x² - 7x - 3
A
(3x + 1)(2x - 3)
B
(3x - 1)(2x + 3)
C
(6x + 1)(x - 3)
D
(2x + 1)(3x - 3)
2.
The commutative property for intersection of sets states that:
A
A ∩ B = B ∩ A
B
(A ∩ B) ∩ C = A ∩ (B ∩ C)
C
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
D
A ∩ U = A
3.
Find the HCF of 12x³y² and 18x²y³.
A
6x²y²
B
36x³y³
C
6x³y³
D
12x²y²
4.
Factorize: x² - 10x + 25 - 4y²
A
(x - 5 - 2y)(x - 5 + 2y)
B
(x + 5 - 2y)(x + 5 + 2y)
C
(x - 5 - 2y)²
D
(x - 5)² - 4y²
5.
Simplify: (x² + 2x + 1)/(x² - 1) ÷ (x + 1)/(x - 1)
A
1
B
x + 1
C
x - 1
D
(x + 1)/(x - 1)
6.
Find the LCM of 6x²y and 8xy³.
A
24x²y³
B
48x²y³
C
2xy
D
24xy³
7.
What is the range of the relation R = {(1, a), (2, b), (3, c)}?
A
{1, 2, 3}
B
{a, b, c}
C
{1, a, 2, b, 3, c}
D
{a, b}
8.
Factorize: x³ - 8
A
(x - 2)(x² + 2x + 4)
B
(x + 2)(x² - 2x + 4)
C
(x - 2)(x² - 2x + 4)
D
(x + 2)(x² + 2x + 4)
9.
Simplify: (x² - 4)/(x - 2)
A
x + 2
B
x - 2
C
x + 4
D
x - 4
10.
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B?
A
{1, 2, 3, 4, 5, 6}
B
{3, 4}
C
{1, 2, 5, 6}
D
{1, 2}
11.
Which property is used in A ∩ (B ∩ C) = (A ∩ B) ∩ C?
A
Commutative
B
Associative
C
Distributive
D
Identity
12.
The shaded area where two circles overlap in a Venn diagram represents:
A
Union
B
Intersection
C
Difference
D
Complement
13.
What is the identity element for intersection of sets?
A
Universal set
B
Empty set
C
The set itself
D
No identity
14.
If R = {(2, 4), (3, 6), (4, 8)}, what is the domain of R?
A
{2, 3, 4}
B
{4, 6, 8}
C
{2, 4, 6, 8}
D
{6, 8}
15.
If A = {2, 4, 6} and B = {1, 2, 3}, what is A - B?
A
{4, 6}
B
{1, 3}
C
{2}
D
{1, 2, 3, 4, 6}
16.
If A = {1, 3, 5} and B = {2, 4, 6}, what is A ∩ B?
A
{1, 2, 3, 4, 5, 6}
B
∅
C
{1, 3, 5}
D
{2, 4, 6}
17.
Factorize completely: 2x² - 8
A
2(x - 2)(x + 2)
B
2(x² - 4)
C
2(x - 2)²
D
(2x - 4)(x + 2)
18.
Simplify: (x + 1)/(x² - 1) + (x - 1)/(x² - 1)
A
2/(x - 1)
B
2x/(x² - 1)
C
2/(x + 1)
D
2x/(x - 1)
19.
What is the square root of (4x² + 12x + 9)?
A
2x + 3
B
2x - 3
C
4x + 3
D
2x + 9
20.
Factorize: x² + 7x + 12
A
(x + 3)(x + 4)
B
(x + 2)(x + 6)
C
(x - 3)(x - 4)
D
(x + 1)(x + 12)