SELF EVALUATION -1
1. SETS
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then A ∩ B is:
A) {1, 2}
B) {3, 4}
C) {5, 6}
D) {1, 6}
2. Relations & Functions
If f(x) = 2 x + 3, then f(4) is:
A) 8
B) 10
C) 11
D) 12
3. Trigonometric Identities
The value of sin²Î¸ + cos²Î¸ is:
A) 0
B) 1
C) 2
D) –1
4. Complex Numbers
i² equals:
A) 1
B) –1
C) 0
D) i
5. Quadratic Equations
The nature of roots of ax² + bx + c = 0 depends on:
A) b² – 4 ac
B) a + b + c
C) a – b
D) c²
6. Permutations & Combinations
The value of 5P2 is:
A) 10
B) 20
C) 5
D) 25
7. Statistics
Mean of first 5 natural numbers is:
A) 2
B) 2.5
C) 3
D) 4
8. Straight Lines
Slope of the line 2 x + 3 y = 6 is:
A) 2/3
B) –2/3
C) 3/2
D) –3/2
SELF EVALUATION -2
1. Sets
If A = {x : x is a prime number less than 10}, then A is:
A) {1, 2, 3, 5, 7}
B) {2, 3, 5, 7}
C) {2, 4, 6, 8}
D) {1, 3, 5, 7}
2. Relations
If A = {1, 2, 3}, then the total number of relations on A is:
A) 3
B) 6
C) 9
D) 512
3. Functions
If f(x) = x² – 1, then f(–2) is:
A) 3
B) –3
C) 5
D) –5
4. Trigonometry
The value of tan 45° is:
A) 0
B) 1
C) √3
D) –1
5. Complex Numbers
If z = 3 + 4 i, then |z| is:
A) 5
B) 7
C) 25
D) 1
6. Permutations
The number of ways to arrange the letters of the word “MATH” is:
A) 4
B) 12
C) 24
D) 16
7. Binomial Theorem
The coefficient of x² in (1 + x)⁴ is:
A) 4
B) 6
C) 12
D) 24
8. Straight Line
Distance between points (1,2) and (4,6) is:
A) 5
B) 4
C) √13
D) 6
9. Limits
lim x→0 (sin x)/x equals:
A) 0
B) 1
C) ∞
D) –1
10. Statistics
If the mean of 10 numbers is 20, then their total sum is:
A) 200
B) 20
C) 100
D) 10
SELF EVALUATION -3
1. If A = {1,2,3} and B = {2,3,4}, then A ∪ B is:
A) {1,2,3}
B) {2,3}
C) {1,2,3,4}
D) {4}
2. Number of subsets of a set containing 4 elements is:
A) 4
B) 8
C) 16
D) 32
3. If n(A) = 3, then number of relations on A is:
A) 9
B) 27
C) 512
D) 64
4. If f(x) = x³, then f(2) equals:
A) 6
B) 8
C) 4
D) 10
5. Value of sin 90° is:
A) 0
B) 1
C) –1
D) √3
6. sin²Î¸ + cos²Î¸ =
A) 0
B) 1
C) 2
D) –1
7. If i² =
A) 1
B) –1
C) i
D) 0
8. Modulus of 1 + i is:
A) 1
B) √2
C) 2
D) 0
9. Discriminant of 2 x² + 3 x + 1 = 0 is:
A) 1
B) –1
C) 5
D) 0
10. Roots of x² – 4 = 0 are:
A) ±2
B) ±4
C) 2
D) –2
11. Value of 5! is:
A) 20
B) 60
C) 120
D) 720
12. ⁶C₂ equals:
A) 12
B) 15
C) 30
D) 6
13. Coefficient of x² in (1 + x)³ is:
A) 3
B) 6
C) 9
D) 1
14. Distance between (0,0) and (3,4) is:
A) 5
B) 4
C) 7
D) 3
15. Slope of line y = 3 x + 2 is:
A) 2
B) 3
C) –3
D) 1
16. If mean of 5 numbers is 10, their sum is:
A) 50
B) 15
C) 5
D) 10
17. lim x→0 (sin x)/x equals:
A) 0
B) 1
C) ∞
D) –1
18. If tan θ = 1, then θ =
A) 30°
B) 45°
C) 60°
D) 90°
19. Domain of f(x) = 1/x is:
A) All real numbers
B) x ≠ 0
C) x = 0
D) x > 0
20. (a + b)² equals:
A) a² + b²
B) a² + 2ab + b²
C) a² – b²
D) 2ab
21. If A = {1,2} and B = {3,4}, number of elements in A × B is:
A) 2
B) 4
C) 6
D) 8
22. Equation of x-axis is:
A) x = 0
B) y = 0
C) x = y
D) y = 1
23. Value of cos 0° is:
A) 0
B) 1
C) –1
D) 1/2
24. If |z| = 0, then z is:
A) 1
B) i
C) 0
D) –1
25. Number of diagonals in a quadrilateral is:
A) 2
B) 4
C) 6
D) 1
26. 7P2 equals:
A) 14
B) 42
C) 21
D) 49
27. If variance = 9, then standard deviation is:
A) 9
B) 3
C) 81
D) 6
28. Solution of 2 x – 4 = 0 is:
A) 2
B) –2
C) 4
D) 0
29. If n(A) = 5, number of proper subsets is:
A) 31
B) 32
C) 30
D) 25
30. Value of sec 60° is:
A) 1
B) 2
C) √3
D) 1/2
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