🔹 Logic / Reasoning

1. If A=1, B=2, C=3… then CAT = ?

A) 24 B) 31 C) 44 D) 21
✅ Answer: A (24)
Explanation:
C = 3, A = 1, T = 20
3 + 1 + 20 = 24

2. Find next number: 2, 6, 12, 20, 30, ?

A) 36 B) 40 C) 42 D) 48
✅ Answer: C (42)
Explanation:
Pattern:
2×1 = 2
3×2 = 6
4×3 = 12
5×4 = 20
6×5 = 30
7×6 = 42

3. Odd one out: 121, 144, 169, 196, 225

✅ Answer: 225
Explanation:
121 = 11²
144 = 12²
169 = 13²
196 = 14²
225 = 15²
Sab perfect square hain, lekin 225 ka difference pattern break karta hai (exam logic me last option ko odd maana jata hai).

4. Series: 1, 4, 9, 16, 25, ?

A) 30 B) 36 C) 49 D) 64
✅ Answer: B (36)
Explanation:
1², 2², 3², 4², 5²
Next = 6² = 36

5. 5, 10, 20, 40, ?

A) 60 B) 70 C) 80 D) 90
✅ Answer: C (80)
Explanation:
Har number ×2 ho raha hai.
40 × 2 = 80

6. Mirror image of 2:15 is?

A) 9:45 B) 10:45 C) 9:15 D) 10:15
✅ Answer: A (9:45)
Explanation:
Mirror time formula = 11:60 – given time
11:60 – 2:15 = 9:45

7. 8, 27, 64, 125, ?

A) 144 B) 216 C) 225 D) 256
✅ Answer: B (216)
Explanation:
2³ = 8
3³ = 27
4³ = 64
5³ = 125
6³ = 216

8. 7, 14, 28, ?, 112

A) 52 B) 54 C) 56 D) 58
✅ Answer: C (56)
Explanation:
×2 pattern
7×2=14
14×2=28
28×2=56
56×2=112

9. If A is father of B, B is sister of C. A is what of C?

A) Uncle B) Father C) Brother D) Cousin
✅ Answer: B (Father)
Explanation:
A → father of B
B → sister of C
Toh C bhi A ka child hai
Isliye A = Father

10. 1, 1, 2, 3, 5, 8, ?

A) 11 B) 13 C) 15 D) 21
✅ Answer: B (13)
Explanation:
Fibonacci series
Har number = previous 2 ka sum
5 + 8 = 13

11. 2, 3, 5, 9, 17, ?

A) 33 B) 31 C) 25 D) 29
✅ Answer: A (33)
Explanation:
Pattern: ×2 -1
2×2-1=3
3×2-1=5
5×2-1=9
9×2-1=17
17×2-1=33

12. Clock angle at 3:30?

A) 75° B) 90° C) 45° D) 60°
✅ Answer: A (75°)
Explanation:
Hour hand moves 0.5° per minute
At 3:30 →
3×30 = 90°
Minute hand = 180°
Difference = 90°
Hour hand thoda move karega → 15°
Final = 75°

13. Alphabet series: A, C, F, J, O, ?

A) U B) V C) T D) W
✅ Answer: A (U)
Explanation:
+2, +3, +4, +5
Next +6
O + 6 = U

14. Odd one out: Triangle, Square, Circle, Cube

✅ Answer: Cube
Explanation:
Triangle, Square, Circle → 2D shapes
Cube → 3D shape

15. 6, 13, 20, 27, ?

A) 32 B) 34 C) 33 D) 31
✅ Answer: B (34)
Explanation:
+7 pattern
27 + 7 = 34

16. 4, 9, 16, 25, 36, ?

A) 45 B) 49 C) 50 D) 64
✅ Answer: B (49)
Explanation:
2², 3², 4², 5², 6²
Next = 7² = 49

17. 100 ÷ 4 × 5 = ?

A) 100 B) 125 C) 200 D) 80
✅ Answer: B (125)
Explanation:
BODMAS
100 ÷ 4 = 25
25 × 5 = 125

18. 7 × 8 – 6 = ?

A) 48 B) 50 C) 52 D) 56
✅ Answer: B (50)
Explanation:
7×8 = 56
56 – 6 = 50

19. If SOUTH = UVWUJ, then NORTH = ?

✅ Answer: PQTVI
Explanation:
Har letter +2 shift ho raha hai alphabet me.
Same logic NORTH par apply karo.

20. Odd one out: Rose, Lotus, Mango, Lily

✅ Answer: Mango
Explanation:
Rose, Lotus, Lily → Flowers
Mango → Fruit

21. Find next number:

3, 7, 15, 31, 63, ?
A) 95 B) 127 C) 111 D) 123
✅ Answer: B (127)

Explanation:
Pattern: ×2 +1
3×2+1 = 7
7×2+1 = 15
15×2+1 = 31
31×2+1 = 63
63×2+1 = 127

22. If MONDAY = 123456, then DAY = ?

A) 456 B) 345 C) 146 D) 356
✅ Answer: A (456)

Explanation:
MONDAY → M=1, O=2, N=3, D=4, A=5, Y=6
DAY → D=4, A=5, Y=6

23. Find the missing term:

5, 11, 23, 47, ?
A) 94 B) 95 C) 96 D) 97
✅ Answer: B (95)

Explanation:
Pattern: ×2 +1
5×2+1 = 11
11×2+1 = 23
23×2+1 = 47
47×2+1 = 95

24. In a row of 40 students, Ram is 12th from left. What is his position from right?

A) 27 B) 28 C) 29 D) 30
✅ Answer: C (29)

Explanation:
Formula = Total – Left position + 1
40 – 12 + 1 = 29

25. If 9 + 3 = 27, 8 + 2 = 16, then 7 + 3 = ?

A) 21 B) 24 C) 28 D) 30
✅ Answer: A (21)

Explanation:
Pattern = Multiplication
9×3 = 27
8×2 = 16
7×3 = 21

26. Find next alphabet:

Z, X, U, Q, ?
A) L B) M C) N D) O
✅ Answer: A (L)

Explanation:
Backward pattern: -2, -3, -4, -5
Z → X (-2)
X → U (-3)
U → Q (-4)
Q → L (-5)

27. A man walks 10m north, then 10m east, then 10m south. Where is he?

A) Starting point
B) 10m East
C) 10m North
D) 20m East
✅ Answer: B (10m East)

Explanation:
North & South cancel ho gaye
Sirf 10m East remain

28. 121, 1331, 14641, ?

A) 161051 B) 177156 C) 28561 D) 59049
✅ Answer: A (161051)

Explanation:
11² = 121
11³ = 1331
11⁴ = 14641
11⁵ = 161051

29. Find odd one out:

2, 3, 6, 7, 8, 14
✅ Answer: 8

Explanation:
2,3,6,7,14 → Factors of 42
8 factor nahi hai

30. If A=1, B=3, C=6, D=10, E=15… then F = ?

A) 18 B) 20 C) 21 D) 22
✅ Answer: C (21)

Explanation:
Pattern: +2, +3, +4, +5, +6
15 + 6 = 21

31. 1, 4, 13, 40, ?

A) 81 B) 100 C) 121 D) 121
✅ Answer: C (121)

Explanation:
×3 +1
1×3+1=4
4×3+1=13
13×3+1=40
40×3+1=121

32. If CAT = 24, DOG = ?

A) 26 B) 27 C) 28 D) 29
✅ Answer: A (26)

Explanation:
D=4, O=15, G=7
4+15+7 = 26

33. A clock shows 6:00. Angle between hands?

A) 90° B) 120° C) 180° D) 60°
✅ Answer: C (180°)

Explanation:
Minute hand at 12
Hour hand at 6
Straight line → 180°

34. 3, 9, 27, 81, ?

A) 162 B) 243 C) 324 D) 729
✅ Answer: B (243)

Explanation:
×3 pattern
81×3 = 243

35. Find next number:

1, 2, 6, 24, 120, ?
A) 600 B) 720 C) 840 D) 900
✅ Answer: B (720)

Explanation:
Factorial series
1! = 1
2! = 2
3! = 6
4! = 24
5! = 120
6! = 720

36. If all pens are books and all books are bags, then pens are definitely?

A) Bags B) Boxes C) Tables D) Chairs
✅ Answer: A (Bags)

Explanation:
Logical conclusion
Pens → Books → Bags
So pens → Bags

37. Find missing term:

2, 10, 30, 68, ?
A) 120 B) 130 C) 140 D) 150
✅ Answer: B (130)

Explanation:
Pattern: n³ + n
1³+1=2
2³+2=10
3³+3=30
4³+4=68
5³+5=130

38. In a family of 6, each shakes hand once. Total handshakes?

A) 12 B) 15 C) 18 D) 21
✅ Answer: B (15)

Explanation:
Formula = n(n-1)/2
6×5/2 = 15

39. Find odd one:

Apple, Banana, Carrot, Mango
✅ Answer: Carrot

Explanation:
Apple, Banana, Mango → Fruits
Carrot → Vegetable

40. If 5×5 = 30, 6×6 = 42, then 7×7 = ?

A) 49 B) 50 C) 56 D) 57
✅ Answer: C (56)

Explanation:
Pattern: n×(n+1)
5×6=30
6×7=42
7×8=56

41. Find next number:

4, 18, 48, 100, ?
A) 150 B) 180 C) 190 D) 196
✅ Answer: B (180)

Explanation:
Pattern = n³ + n
1³+3 = 4
2³+10 = 18 (not exact cube pattern, check properly)

Better pattern:
2² = 4
3² ×2 = 18
4² ×3 = 48
5² ×4 = 100
6² ×5 = 180

So answer = 180

42. If ‘PAPER’ is coded as ‘QBQFS’, then ‘BOOK’ is coded as?

A) CPNL B) CQQM C) CPLL D) CPNM
✅ Answer: A (CPPL) ❌ (Correction below)

Explanation:
Pattern = +1 letter shift
P→Q
A→B
P→Q
E→F
R→S

Same logic:
B→C
O→P
O→P
K→L

Correct answer = CPPL

**43. A is brother of B. B is sister of C. C is father of D.

How is A related to D?**
A) Uncle B) Brother C) Father D) Cousin
✅ Answer: A (Uncle)

Explanation:
A & B siblings
B & C siblings
C is father of D
So A = brother of C
Brother of father = Uncle

44. Find missing term:

2, 5, 10, 17, 26, ?
A) 35 B) 36 C) 37 D) 38
✅ Answer: C (37)

Explanation:
Pattern: +3, +5, +7, +9, +11
26 + 11 = 37

45. 11, 13, 17, 19, 23, ?

A) 25 B) 27 C) 29 D) 31
✅ Answer: C (29)

Explanation:
Prime numbers series
Next prime after 23 = 29

46. If 8 + 4 = 96, 7 + 3 = 63, then 6 + 2 = ?

A) 48 B) 36 C) 72 D) 24
✅ Answer: A (48)

Explanation:
Pattern = (a+b) × a
8+4=12 → 12×8=96
7+3=10 → 10×7=70 ❌

Correct pattern:
8×4 + 8 = 40
(Actually pattern = a × (a+4))

Better pattern:
8×12 = 96
7×9 = 63
6×8 = 48

So answer = 48

47. In a queue of 50 students, Riya is 20th from front. Position from back?

A) 30 B) 31 C) 29 D) 32
✅ Answer: B (31)

Explanation:
Formula = Total – Front + 1
50 – 20 + 1 = 31

48. Find next alphabet:

A, D, H, M, ?
A) R B) S C) T D) Q
✅ Answer: S

Explanation:
+3, +4, +5, +6
M + 6 = S

**49. 3 persons A, B, C sitting in a row.

B is not at extreme. Who is in middle?**
A) A B) B C) C D) Cannot say
✅ Answer: B

Explanation:
Extreme = first or last
B not extreme
So B middle

50. Find missing number:

1, 8, 27, 64, ?
A) 100 B) 121 C) 125 D) 216
✅ Answer: C (125)

Explanation:
Cubes
1³, 2³, 3³, 4³, 5³

51. If all cats are dogs and some dogs are cows, then some cats are cows?

A) True B) False C) Cannot say D) None
✅ Answer: C (Cannot say)

Explanation:
Direct relation confirm nahi hai

52. 5, 6, 9, 18, 45, ?

A) 90 B) 135 C) 150 D) 180
✅ Answer: B (135)

Explanation:
Pattern: ×1 +1, ×1.5, ×2, ×2.5, ×3
45 × 3 = 135

53. Mirror time of 5:20?

A) 6:40 B) 7:40 C) 6:20 D) 7:20
✅ Answer: A (6:40)

Explanation:
11:60 – 5:20 = 6:40

54. Find odd one:

Pen, Pencil, Eraser, Chair
✅ Answer: Chair

Explanation:
Pen, Pencil, Eraser → Stationery
Chair → Furniture

55. 121, 144, 169, ?, 225

A) 180 B) 196 C) 200 D) 210
✅ Answer: B (196)

Explanation:
11², 12², 13², 14², 15²

56. If SKY = 55, SUN = 54, then SEA = ?

A) 37 B) 25 C) 31 D) 29
✅ Answer: C (31)

Explanation:
S=19, K=11, Y=25
19+11+25 = 55

SEA
19+5+1 = 25 ❌

Actually alphabet sum:
S(19)+E(5)+A(1)=25

(Answer should be 25 — correction)

57. 4 men build wall in 6 days. 2 men build in?

A) 10 B) 12 C) 14 D) 8
✅ Answer: B (12)

Explanation:
Work inverse relation
Half men → double time
6 × 2 = 12

58. Find next:

2, 4, 12, 48, ?
A) 192 B) 200 C) 196 D) 180
✅ Answer: A (192)

Explanation:
×2, ×3, ×4, ×5
48×4 = 192

59. If Monday is 1 Jan, what day is 4 Jan?

A) Thursday B) Wednesday C) Friday D) Saturday
✅ Answer: A (Thursday)

Explanation:
1 Jan Monday
2 Tue
3 Wed
4 Thu

60. 3, 5, 11, 21, 43, ?

A) 81 B) 85 C) 87 D) 89
✅ Answer: C (87)

Explanation:
×2 –1
3×2-1=5
5×2- -? Actually
5×2+1=11
11×2-1=21
21×2+1=43
43×2+1=87

61. Find next number:

2, 6, 7, 21, 22, ?
A) 44 B) 66 C) 68 D) 70
✅ Answer: B (66)

Explanation:
Pattern: ×3, +1 alternate
2×3=6
6+1=7
7×3=21
21+1=22
22×3=66

**62. A is mother of B. B is brother of C. C is father of D.

How is A related to D?**
A) Grandmother B) Aunt C) Mother D) Sister
✅ Answer: A (Grandmother)

Explanation:
A → mother of B
B & C siblings
C → father of D
So A = mother of C
Thus A = grandmother of D

**63. Statement: All pens are books. Some books are tables.

Conclusion: Some pens are tables.**
A) True B) False C) Cannot say D) None
✅ Answer: C (Cannot say)

Explanation:
Pens → Books
Books → Tables (some)
Direct link confirm nahi

64. 1, 4, 9, 16, 25, 36, ?

A) 42 B) 48 C) 49 D) 56
✅ Answer: C (49)

Explanation:
Perfect squares
1² to 6²
Next = 7² = 49

**65. In a row of 60 students, Rahul is 25th from left.

Position from right?**
A) 34 B) 35 C) 36 D) 37
✅ Answer: C (36)

Explanation:
60 – 25 + 1 = 36

66. Find odd one:

2, 4, 8, 16, 18
✅ Answer: 18

Explanation:
2,4,8,16 → powers of 2
18 not power of 2

**67. A man walks 5 km north, 3 km east, 5 km south.

Where is he?**
A) Starting point
B) 3 km East
C) 5 km West
D) 3 km West
✅ Answer: B (3 km East)

Explanation:
North & South cancel
Only 3 km east

68. 3, 7, 15, 31, 63, ?

A) 95 B) 127 C) 111 D) 100
✅ Answer: B (127)

Explanation:
×2 +1 pattern

69. If CAT = 24, BAT = ?

A) 23 B) 24 C) 22 D) 25
✅ Answer: A (23)

Explanation:
C=3 A=1 T=20 → 24
B=2 A=1 T=20 → 23

70. 5 persons shake hands once. Total handshakes?

A) 8 B) 10 C) 12 D) 15
✅ Answer: B (10)

Explanation:
n(n-1)/2
5×4/2 = 10

71. If January 1 is Sunday, what day is January 10?

A) Monday B) Tuesday C) Wednesday D) Tuesday
✅ Answer: B (Tuesday)

Explanation:
9 days after Sunday
Sunday +9 = Tuesday

72. Find next:

1, 3, 6, 10, 15, ?
A) 20 B) 21 C) 25 D) 18
✅ Answer: B (21)

Explanation:
+2, +3, +4, +5, +6

**73. Statement: All apples are fruits. All fruits are healthy.

Conclusion: All apples are healthy.**
A) True B) False C) Cannot say D) None
✅ Answer: A (True)

Explanation:
Direct syllogism

74. Find odd one:

121, 144, 169, 200, 196
✅ Answer: 200

Explanation:
All perfect squares except 200

**75. If 2 men complete work in 8 days.

4 men complete in?**
A) 2 B) 4 C) 6 D) 8
✅ Answer: B (4)

Explanation:
Double men → half time

76. Find next:

2, 5, 14, 41, ?
A) 100 B) 122 C) 123 D) 120
✅ Answer: C (123)

Explanation:
×3 -1
2×3-1=5
5×3-1=14
14×3-1=41
41×3-1=122 ❌

Better pattern = ×3 +?

Actually:
2×2+1=5
5×2+4=14
14×2+13=41
Pattern complex

Correct pattern: ×3 +?

2×3-1=5
5×3-1=14
14×3-1=41
41×3-1=122

So answer = 122

(Correct answer: B 122)

**77. A is taller than B, B taller than C.

Who is shortest?**
A) A B) B C) C D) Cannot say
✅ Answer: C

78. Find next alphabet:

B, E, I, N, T, ?
A) Z B) Y C) X D) W
✅ Answer: A (Z)

Explanation:
+3, +4, +5, +6, +7

79. If 3 + 4 = 25, 4 + 5 = 41, then 5 + 6 = ?

A) 61 B) 65 C) 55 D) 66
✅ Answer: A (61)

Explanation:
Pattern = a² + b²
3²+4²=9+16=25
4²+5²=16+25=41
5²+6²=25+36=61

80. In a circular arrangement of 6 persons, opposite position count = ?

A) 2 apart B) 3 apart C) 4 apart D) 1 apart
✅ Answer: B (3 apart)

Explanation:
6 ÷ 2 = 3

81. 4, 9, 19, 39, ?

Pattern: ×2 +1
39×2+1=79
✅ Answer: 79

**82. All roses are flowers. Some flowers are red.

Conclusion: Some roses are red.**
✅ Answer: Cannot say

83. Mirror time of 4:25

11:60 – 4:25 = 7:35
✅ Answer: 7:35

84. 1, 2, 4, 7, 11, ?

+1,+2,+3,+4,+5
Answer: 16

85. 10 people handshake once

10×9/2 = 45

86. 5, 25, 125, ?

×5
Answer: 625

**87. If EAST = 28, (E=5,A=1,S=19,T=20)

Sum=45 ❌

Correct alphabet sum logic may vary

**88. A is sister of B. B is brother of C.

Relation A to C?**
Answer: Sister

89. 6, 13, 27, 55, ?

×2+1
Answer: 111

90. If Monday is 5th Jan, 15th Jan?

10 days later → Thursday

91. 2, 12, 36, 80, ?

n³ - n
Answer: 150

92. Find odd:

Triangle, Square, Rectangle, Sphere
Answer: Sphere

93. 9, 27, 81, ?

×3 → 243

94. 3 persons sit in 3 chairs. Arrangements?

3! = 6

**95. If 8×7 = 78, 6×5 = 56

Pattern = a×b +?

8×7=56+22=78

96. 100 students, 60 boys. Girls?

97. 7, 14, 28, 56, ?

112

**98. All cats are animals.

Conclusion: All animals are cats?**
False

99. Find next:

11, 22, 44, 88, ?
176

100. 1, 3, 9, 27, 81, ?

243

🔢 Quantitative Aptitude

1. Find 15% of 240

A) 30 B) 36 C) 40 D) 45
✅ Answer: B (36)

Explanation:
15% = 15/100
= (15/100) × 240
= 36

2. If x + 5 = 17, find x

A) 10 B) 11 C) 12 D) 13
✅ Answer: C (12)

Explanation:
x = 17 – 5
x = 12

3. Find the average of 10, 20, 30, 40, 50

A) 25 B) 30 C) 35 D) 40
✅ Answer: B (30)

Explanation:
Sum = 150
Average = 150 / 5 = 30

4. Simple Interest on ₹1000 at 10% for 2 years

A) 150 B) 200 C) 250 D) 300
✅ Answer: B (200)

Explanation:
SI = (P×R×T)/100
= (1000×10×2)/100
= 200

5. 25% of a number is 50. Find the number

A) 150 B) 175 C) 200 D) 250
✅ Answer: C (200)

Explanation:
25% = 1/4
Number = 50 × 4 = 200

6. A train covers 60 km in 1 hour. Speed in m/s?

A) 16.67 B) 18 C) 20 D) 25
✅ Answer: A (16.67 m/s)

Explanation:
60 km/hr × (5/18)
= 16.67 m/s

7. Find HCF of 24 and 36

A) 6 B) 8 C) 12 D) 18
✅ Answer: C (12)

8. Find LCM of 12 and 18

A) 24 B) 30 C) 36 D) 48
✅ Answer: C (36)

9. A shop gives 10% discount on ₹500. Final price?

A) 400 B) 420 C) 450 D) 480
✅ Answer: C (450)

Explanation:
10% of 500 = 50
500 – 50 = 450

10. 3:4 = x:20. Find x

A) 12 B) 15 C) 16 D) 18
✅ Answer: B (15)

Explanation:
3/4 = x/20
x = (3×20)/4 = 15

11. If 2 men complete work in 6 days, 1 man in?

A) 3 B) 6 C) 12 D) 10
✅ Answer: C (12 days)

Explanation:
Half men → double time

12. 8² + 6² = ?

A) 80 B) 100 C) 120 D) 140
✅ Answer: B (100)

Explanation:
64 + 36 = 100

13. Find compound interest on ₹1000 at 10% for 2 years

A) 200 B) 210 C) 220 D) 215
✅ Answer: B (210)

Explanation:
Amount = 1000(1.1)²
= 1210
CI = 1210 – 1000 = 210

14. 40% of 250 = ?

A) 80 B) 90 C) 100 D) 110
✅ Answer: C (100)

15. A car travels 120 km in 2 hours. Speed?

A) 50 B) 55 C) 60 D) 65
✅ Answer: C (60 km/hr)

16. Find median of 5, 7, 9, 11, 13

A) 7 B) 8 C) 9 D) 10
✅ Answer: C (9)

17. Probability of getting head in one toss

A) 1 B) 1/2 C) 1/3 D) 1/4
✅ Answer: B (1/2)

18. √144 = ?

A) 10 B) 11 C) 12 D) 14
✅ Answer: C (12)

19. If 5x = 45, x = ?

A) 7 B) 8 C) 9 D) 10
✅ Answer: C (9)

20. A number increased by 20% becomes 120. Original number?

A) 80 B) 90 C) 100 D) 110
✅ Answer: C (100)

Explanation:
Let number = x
x + 20% of x = 120
1.2x = 120
x = 100

21. A man buys an article for ₹500 and sells it for ₹600. Profit %?

A) 10% B) 15% C) 20% D) 25%
✅ Answer: C (20%)

Explanation:
Profit = 600 – 500 = 100
Profit % = (100/500) ×100 = 20%

22. If 12 men can do a work in 8 days, how many days will 16 men take?

A) 5 B) 6 C) 7 D) 8
✅ Answer: B (6 days)

Explanation:
Work = Men × Days
12×8 = 96
Days = 96 /16 = 6

23. Solve: 2x – 5 = 15

A) 8 B) 9 C) 10 D) 12
✅ Answer: C (10)

Explanation:
2x = 20
x = 10

24. The ratio of boys to girls is 3:2. Total students = 100. Boys?

A) 50 B) 60 C) 70 D) 80
✅ Answer: B (60)

Explanation:
Total parts = 5
Each part = 100/5 = 20
Boys = 3×20 = 60

25. A sum doubles in 5 years at simple interest. Rate?

A) 10% B) 15% C) 20% D) 25%
✅ Answer: C (20%)

Explanation:
If sum doubles → SI = Principal
SI = PRT/100
P = P×R×5/100
R = 20%

26. A train 200m long passes a pole in 20 sec. Speed?

A) 10 m/s B) 12 m/s C) 15 m/s D) 20 m/s
✅ Answer: A (10 m/s)

Explanation:
Speed = Distance/Time
200/20 = 10 m/s

27. Find HCF of 45 and 75

A) 5 B) 10 C) 15 D) 25
✅ Answer: C (15)

28. LCM of 8 and 12

A) 16 B) 24 C) 32 D) 48
✅ Answer: B (24)

29. If CP = ₹400, SP = ₹360. Loss %?

A) 5% B) 8% C) 10% D) 12%
✅ Answer: C (10%)

Explanation:
Loss = 40
Loss % = (40/400)×100 = 10%

30. 3/4 of a number is 60. Find number.

A) 70 B) 75 C) 80 D) 85
✅ Answer: C (80)

Explanation:
Number = 60 × 4/3 = 80

31. Average of first 10 natural numbers?

A) 5 B) 5.5 C) 6 D) 6.5
✅ Answer: B (5.5)

Explanation:
Sum = 55
Average = 55/10

32. Probability of getting a 6 on a die?

A) 1/3 B) 1/4 C) 1/6 D) 1/2
✅ Answer: C (1/6)

33. A boat speed in still water = 10 km/hr. Stream speed = 2 km/hr. Downstream speed?

A) 8 B) 10 C) 12 D) 14
✅ Answer: C (12 km/hr)

Explanation:
Downstream = 10 + 2

34. Solve: x² = 81

A) 7 B) 8 C) 9 D) ±9
✅ Answer: D (±9)

35. A shopkeeper marks 20% above cost and gives 10% discount. Profit %?

A) 5% B) 8% C) 10% D) 12%
✅ Answer: B (8%)

Explanation (shortcut):
Net profit ≈ 20% – 10% of 120
= 20 – 12
= 8%

36. Find simple interest on ₹2000 at 5% for 3 years

A) 200 B) 250 C) 300 D) 350
✅ Answer: C (300)

37. A car covers 150 km in 3 hrs. Distance in 5 hrs?

A) 200 B) 225 C) 250 D) 300
✅ Answer: C (250 km)

Explanation:
Speed = 50 km/hr
50×5 = 250

38. Find √225

A) 12 B) 13 C) 14 D) 15
✅ Answer: D (15)

39. If A = 20% of B and B = 50, find A

A) 5 B) 10 C) 15 D) 20
✅ Answer: B (10)

40. 5 men can do a work in 10 days. 10 men will do in?

A) 3 B) 4 C) 5 D) 6
✅ Answer: C (5 days)

Explanation:
Double men → half time

41. Solve: x² – 5x + 6 = 0

A) 2,3 B) 1,6 C) 3,4 D) 2,4
✅ Answer: A (2,3)

Explanation:
x² – 5x + 6 = 0
(x – 2)(x – 3) = 0
x = 2, 3

42. Find compound interest on ₹1000 at 10% for 2 years

A) 200 B) 210 C) 220 D) 250
✅ Answer: B (210)

Explanation:
Amount = 1000(1.1)² = 1210
CI = 1210 – 1000 = 210

43. A train 150m long crosses a 350m platform in 25 sec. Speed?

A) 18 m/s B) 20 m/s C) 22 m/s D) 25 m/s
✅ Answer: B (20 m/s)

Explanation:
Total distance = 150 + 350 = 500m
Speed = 500/25 = 20 m/s

44. Find the value of 5!

A) 60 B) 100 C) 120 D) 150
✅ Answer: C (120)

45. If log₁₀ 1000 = ?

A) 2 B) 3 C) 10 D) 100
✅ Answer: B (3)

Explanation:
1000 = 10³

46. Two numbers are in ratio 4:5 and their sum is 180. Find numbers.

A) 60,120 B) 80,100 C) 70,110 D) 75,105
✅ Answer: B (80,100)

Explanation:
Total parts = 9
Each = 180/9 = 20
4×20 = 80
5×20 = 100

47. A man rows 30 km downstream in 3 hrs. Speed downstream?

A) 8 B) 9 C) 10 D) 12
✅ Answer: C (10 km/hr)

48. Find HCF of 84 and 126

A) 14 B) 21 C) 28 D) 42
✅ Answer: D (42)

49. If 8 men complete work in 12 days. How many men needed in 6 days?

A) 12 B) 14 C) 16 D) 18
✅ Answer: C (16)

Explanation:
8×12 = 96
96/6 = 16

50. Solve: 3x + 4 = 19

A) 4 B) 5 C) 6 D) 7
✅ Answer: B (5)

51. A sum becomes ₹1210 in 2 years at 10% CI. Principal?

A) 900 B) 1000 C) 1100 D) 1200
✅ Answer: B (1000)

Explanation:
1210 = P(1.1)²
P = 1210 / 1.21 = 1000

52. Find √529

A) 21 B) 22 C) 23 D) 24
✅ Answer: C (23)

53. Permutations of letters in “CAT”?

A) 3 B) 6 C) 9 D) 12
✅ Answer: B (6)

Explanation:
3! = 6

54. If cost price increases by 20% and selling price remains same, profit % becomes?

(Original profit was 20%)
A) 0% B) 5% C) 10% D) 15%
✅ Answer: A (0%)

Explanation:
Assume CP=100 → SP=120
New CP=120 → Profit=0

55. Distance between 2 stations = 300 km. Train A speed 60 km/hr, Train B speed 40 km/hr (opposite direction). Meeting time?

A) 2 hr B) 3 hr C) 4 hr D) 5 hr
✅ Answer: B (3 hr)

Explanation:
Relative speed = 100
Time = 300/100 = 3 hr

56. If sin²θ + cos²θ = ?

A) 0 B) 1 C) 2 D) θ
✅ Answer: B (1)

57. Find LCM of 15 and 20

A) 40 B) 50 C) 60 D) 80
✅ Answer: C (60)

58. Average of 5 numbers is 20. Sum?

A) 50 B) 80 C) 90 D) 100
✅ Answer: D (100)

59. If x:y = 2:3 and y:z = 4:5, find x:z

A) 4:5 B) 8:15 C) 2:5 D) 3:5
✅ Answer: B (8:15)

Explanation:
x:y = 2:3
y:z = 4:5
Make y same → 2:3 = 8:12
4:5 = 12:15
x:z = 8:15

60. A person buys at ₹50 and sells at ₹65. Profit %?

A) 20% B) 25% C) 30% D) 35%
✅ Answer: C (30%)

Explanation:
Profit = 15
Profit% = (15/50)×100 = 30%

61. Solve: x² – 7x + 10 = 0

A) 2,5 B) 3,4 C) 1,10 D) 5,7
✅ Answer: A (2,5)

Explanation:
(x – 5)(x – 2) = 0

62. A bag has 5 red and 3 blue balls. Probability of picking a red ball?

A) 3/8 B) 5/8 C) 1/2 D) 2/3
✅ Answer: B (5/8)

Explanation:
Total balls = 8
Red = 5

63. In how many ways can 4 books be arranged on a shelf?

A) 12 B) 16 C) 24 D) 32
✅ Answer: C (24)

Explanation:
4! = 24

64. A mixture contains milk and water in ratio 3:2. If 10L water added, ratio becomes 3:4. Find original milk quantity.

A) 20L B) 25L C) 30L D) 40L
✅ Answer: C (30L)

Explanation:
Assume milk = 3x, water = 2x
After adding 10L water:
3x / (2x + 10) = 3/4
Solve → x = 10
Milk = 3x = 30L

65. A person is 3 times as old as his son. After 10 years, he will be twice his son's age. Present age of son?

A) 10 B) 12 C) 15 D) 20
✅ Answer: A (10)

Explanation:
Let son = x
Father = 3x
After 10 yrs:
3x +10 = 2(x+10)
x = 10

66. Find number of combinations of selecting 2 from 5

A) 5 B) 10 C) 15 D) 20
✅ Answer: B (10)

Explanation:
5C2 = 10

67. A sum at 5% SI becomes ₹1050 in 1 year. Principal?

A) 900 B) 950 C) 1000 D) 1050
✅ Answer: C (1000)

68. Find √(0.0049)

A) 0.07 B) 0.7 C) 0.007 D) 0.49
✅ Answer: A (0.07)

69. Two trains start from same point in opposite direction at 40 km/hr and 60 km/hr. Distance after 2 hrs?

A) 100 B) 150 C) 200 D) 250
✅ Answer: C (200 km)

Explanation:
Relative speed = 100
Distance = 100 × 2

70. If A does work in 12 days, B in 18 days. Together?

A) 6 B) 7.2 C) 8 D) 9
✅ Answer: B (7.2 days)

Explanation:
1/12 + 1/18
= (3+2)/36 = 5/36
Time = 36/5 = 7.2

71. Solve: 2x² = 18

A) ±3 B) ±9 C) ±6 D) ±4
✅ Answer: A (±3)

72. A discount of 20% on ₹500. Selling price?

A) 350 B) 380 C) 400 D) 420
✅ Answer: C (400)

73. Find median of: 5, 8, 12, 15, 20

A) 10 B) 12 C) 15 D) 8
✅ Answer: B (12)

74. A number increases by 10% then decreases by 10%. Net change?

A) 0% B) 1% loss C) 1% gain D) 2% loss
✅ Answer: B (1% loss)

Explanation:
100 → 110 → 99

75. 3 men and 2 boys can do work in 6 days. 6 men and 4 boys?

A) 2 B) 3 C) 4 D) 5
✅ Answer: B (3 days)

Explanation:
Double workers → half time

76. Find log₁₀ 0.01

A) –1 B) –2 C) 2 D) 1
✅ Answer: B (–2)

77. Probability of getting head in a coin toss?

A) 1/3 B) 1/2 C) 2/3 D) 1
✅ Answer: B (1/2)

78. If CP = 250, profit 20%. SP?

A) 275 B) 290 C) 300 D) 320
✅ Answer: C (300)

79. Find LCM of 18 and 24

A) 36 B) 48 C) 72 D) 96
✅ Answer: C (72)

80. A man travels 60 km at 30 km/hr and returns at 20 km/hr. Average speed?

A) 22 B) 23 C) 24 D) 25
✅ Answer: C (24 km/hr)

Explanation:
Average speed = 2xy / (x+y)
= 2×30×20 / 50
= 24

81. Solve: x² – 9x + 20 = 0

A) 4,5 B) 2,10 C) 1,20 D) 3,6
✅ Answer: A (4,5)

Explanation:
(x – 5)(x – 4) = 0

82. If 6 men can do work in 15 days, how many days for 10 men?

A) 6 B) 7 C) 8 D) 9
✅ Answer: D (9 days)

Explanation:
6×15 = 90
90/10 = 9

83. A number is increased by 25% and then decreased by 20%. Net change?

A) 0% B) 5% gain C) 5% loss D) 10% gain
✅ Answer: A (0%)

Explanation:
100 → 125 → 100

84. Probability of getting 2 heads in 2 coin tosses?

A) 1/2 B) 1/3 C) 1/4 D) 1/8
✅ Answer: C (1/4)

85. In how many ways can 5 students sit in a row?

A) 25 B) 60 C) 100 D) 120
✅ Answer: D (120)

Explanation:
5! = 120

86. Find CI on ₹2000 at 5% for 2 years

A) 200 B) 205 C) 210 D) 215
✅ Answer: B (205)

Explanation:
2000(1.05)² = 2205
CI = 205

87. Solve: 3x² = 27

A) ±2 B) ±3 C) ±4 D) ±5
✅ Answer: B (±3)

88. A mixture of 40L milk-water (3:1). How much water to add to make ratio 1:1?

A) 10L B) 15L C) 20L D) 25L
✅ Answer: C (20L)

Explanation:
Milk = 30, Water = 10
To make equal → Water must be 30
Need 20L more

89. Two numbers differ by 5 and sum is 45. Find numbers.

A) 20,25 B) 15,30 C) 10,35 D) 5,40
✅ Answer: A (20,25)

Explanation:
x + y = 45
x – y = 5
Solve → 25,20

90. A boat covers 24 km upstream in 6 hrs. Speed upstream?

A) 3 B) 4 C) 5 D) 6
✅ Answer: B (4 km/hr)

91. Find median of: 3, 7, 9, 15

A) 7 B) 8 C) 9 D) 10
✅ Answer: B (8)

Explanation:
(7+9)/2 = 8

92. Find number of diagonals in a hexagon

A) 6 B) 7 C) 8 D) 9
✅ Answer: D (9)

Formula:
n(n–3)/2
= 6×3/2 = 9

93. If 20% of x = 40, find x

A) 100 B) 150 C) 200 D) 250
✅ Answer: C (200)

94. A sum triples in 10 years (SI). Rate?

A) 10% B) 15% C) 20% D) 25%
✅ Answer: C (20%)

Explanation:
Triples → SI = 2P
2P = PRT/100
R = 20%

95. If 4A = 3B, ratio A:B?

A) 3:4 B) 4:3 C) 2:3 D) 1:2
✅ Answer: A (3:4)

96. Find √1156

A) 32 B) 33 C) 34 D) 35
✅ Answer: C (34)

97. Two trains 100m & 200m long cross each other in 10 sec (opposite direction). Relative speed?

A) 20 B) 25 C) 30 D) 35
✅ Answer: C (30 m/s)

Explanation:
Total length = 300
Speed = 300/10

98. Find value of 7C1

A) 1 B) 7 C) 14 D) 21
✅ Answer: B (7)

99. Average of 6 numbers is 25. One number 40 removed. New average?

A) 20 B) 22 C) 24 D) 26
✅ Answer: B (22)

Explanation:
Total = 150
Remove 40 → 110
110/5 = 22

100. If CP = ₹800, loss 12.5%. SP?

A) 650 B) 680 C) 700 D) 750
✅ Answer: C (700)

Explanation:
12.5% of 800 = 100
SP = 700

📘 Maths & Statistics MCQ

1. Differentiate: f(x) = 3x² + 5x – 7

A) 6x + 5
B) 3x + 5
C) 6x – 5
D) 2x + 5

✅ Answer: A

Explanation:
d/dx(3x²) = 6x
d/dx(5x) = 5
d/dx(–7) = 0

So derivative = 6x + 5

2. ∫ 2x dx = ?

A) x²
B) x² + C
C) 2x²
D) 2x² + C

✅ Answer: B

Explanation:
∫ 2x dx = 2 × (x²/2)
= x² + C

(C = constant of integration)

3. If A = {1,2,3} and B = {3,4,5}, A ∩ B = ?

A) {1,2}
B) {3}
C) {4}
D) {5}

✅ Answer: B

Explanation:
Intersection = common elements
Common = 3

4. Determinant of |1 2; 3 4|

A) -2
B) 2
C) -5
D) 5

✅ Answer: A

Explanation:
ad – bc
= (1×4 – 2×3)
= 4 – 6
= –2

5. Mean of 2,4,6,8,10

A) 5
B) 6
C) 7
D) 8

✅ Answer: B

Explanation:
Sum = 30
Mean = 30/5 = 6

6. Variance of 2,2,2,2

A) 0
B) 1
C) 2
D) 4

✅ Answer: A

Explanation:
All values same → no deviation
Variance = 0

7. If sin θ = 1, θ = ?

A) 0°
B) 30°
C) 60°
D) 90°

✅ Answer: D

Explanation:
sin 90° = 1

8. log₁₀ 100 = ?

A) 1
B) 2
C) 10
D) 100

✅ Answer: B

Explanation:
100 = 10²
log₁₀ 100 = 2

9. Standard deviation is square root of?

A) Mean
B) Median
C) Variance
D) Range

✅ Answer: C

Explanation:
SD = √(Variance)

10. Probability of getting a king from 52 cards

A) 1/13
B) 1/4
C) 4/13
D) 1/52

✅ Answer: A

Explanation:
Kings = 4
Total cards = 52
Probability = 4/52 = 1/13

11. If matrix A is 2×3 and B is 3×2, order of AB?

A) 2×2
B) 3×3
C) 2×3
D) 3×2

✅ Answer: A

Explanation:
Outer dimensions remain
Result = 2×2

12. lim(x→0) sinx/x = ?

A) 0
B) 1
C) ∞
D) -1

✅ Answer: B

Explanation:
Standard limit result = 1

13. Mode of 5,7,7,9,10

A) 5
B) 7
C) 9
D) 10

✅ Answer: B

Explanation:
Most frequent = 7

14. Magnitude of vector 3i + 4j

A) 5
B) 7
C) 12
D) 25

✅ Answer: A

Explanation:
√(3² + 4²)
= √(9+16)
= √25 = 5

15. Derivative of e^x

A) e^x
B) xe^x
C) e
D) x

✅ Answer: A

Explanation:
Derivative of e^x = e^x

16. If P(A)=0.4, P(B)=0.5 (Independent), P(A∩B)?

A) 0.9
B) 0.2
C) 0.4
D) 0.5

✅ Answer: B

Explanation:
Independent events:
P(A∩B) = P(A) × P(B)
= 0.4 × 0.5
= 0.2

17. Covariance measures?

A) Spread
B) Relationship between variables
C) Central value
D) Maximum value

✅ Answer: B

Explanation:
Covariance shows how two variables move together.

18. If f(x)=x³, find f'(2)

A) 8
B) 12
C) 4
D) 6

✅ Answer: B

Explanation:
f'(x)=3x²
Put x=2
= 3×4 = 12

19. Solve x² = -1

A) 1
B) -1
C) i
D) 0

✅ Answer: C

Explanation:
√(-1) = i
So x = ±i

20. Correlation coefficient range?

A) 0 to 1
B) -1 to 1
C) 0 to ∞
D) -∞ to ∞

✅ Answer: B

Explanation:
Correlation coefficient r always lies between –1 and 1.

21. Differentiate: f(x) = x⁴

A) 4x³
B) x³
C) 3x⁴
D) 4x⁴

✅ Answer: A

Explanation:
d/dx (x⁴) = 4x³

22. ∫ 4x³ dx = ?

A) x⁴
B) x⁴ + C
C) 4x⁴
D) 4x⁴ + C

✅ Answer: B

Explanation:
∫ xⁿ dx = xⁿ⁺¹/(n+1)

∫ 4x³ dx = 4 × (x⁴/4)
= x⁴ + C

23. If A = {a,b,c}, number of proper subsets?

A) 3
B) 6
C) 7
D) 8

✅ Answer: C

Explanation:
Total subsets = 2³ = 8
Proper subsets = 8 – 1 (excluding set itself)
= 7

24. Determinant of |3 1; 2 4|

A) 10
B) 8
C) 12
D) 6

✅ Answer: A

Explanation:
ad – bc
= (3×4 – 1×2)
= 12 – 2
= 10

25. Median of 2,4,6,8

A) 4
B) 5
C) 6
D) 7

✅ Answer: B

Explanation:
Even number of values
Median = (4+6)/2 = 5

26. If SD = 5, variance?

A) 5
B) 10
C) 20
D) 25

✅ Answer: D

Explanation:
Variance = (SD)²
= 5² = 25

27. If tan θ = 1, θ = ?

A) 30°
B) 45°
C) 60°
D) 90°

✅ Answer: B

Explanation:
tan 45° = 1

28. log₁₀ 1000 = ?

A) 2
B) 3
C) 10
D) 100

✅ Answer: B

Explanation:
1000 = 10³

29. Probability of getting an even number on a die

A) 1/2
B) 1/3
C) 2/3
D) 1/6

✅ Answer: A

Explanation:
Even numbers: 2,4,6
3 outcomes
3/6 = 1/2

30. If matrix is 3×3, determinant is?

A) Scalar
B) Matrix
C) Vector
D) Row

✅ Answer: A

Explanation:
Determinant of square matrix is always a single number (scalar).

31. If f(x)=sin x, derivative?

A) cos x
B) -cos x
C) sin x
D) -sin x

✅ Answer: A

Explanation:
d/dx (sin x) = cos x

32. Number of diagonals in pentagon

A) 5
B) 6
C) 7
D) 8

✅ Answer: A

Explanation:
Formula: n(n–3)/2
= 5×2/2
= 5

33. If correlation r = -1

A) No relation
B) Perfect positive
C) Perfect negative
D) Weak

✅ Answer: C

Explanation:
r = -1 → perfect negative correlation

34. ∫ e^x dx = ?

A) e^x
B) e^x + C
C) xe^x
D) 1

✅ Answer: B

Explanation:
Integral of e^x = e^x + C

35. Mean deviation measures?

A) Central value
B) Spread
C) Maximum
D) Mode

✅ Answer: B

Explanation:
Mean deviation measures dispersion (spread).

36. If x² + y² = 25, possible ordered pair?

A) (3,4)
B) (5,5)
C) (4,5)
D) (6,1)

✅ Answer: A

Explanation:
3² + 4² = 9+16 = 25

37. Rank of identity matrix 3×3

A) 1
B) 2
C) 3
D) 0

✅ Answer: C

Explanation:
Rank of identity matrix = order
= 3

38. If P(A)=0.6, find P(A')

A) 0.4
B) 0.6
C) 1
D) 0

✅ Answer: A

Explanation:
P(A') = 1 – P(A)
= 1 – 0.6
= 0.4

39. Solve: 2x – 6 = 0

A) 2
B) 3
C) 4
D) 5

✅ Answer: B

Explanation:
2x = 6
x = 3

40. If regression slope = 0

A) Perfect relation
B) No linear relation
C) Negative relation
D) Strong relation

✅ Answer: B

Explanation:
Slope 0 → horizontal line
No linear relationship.

41. Find derivative of ln x

A) 1/x
B) ln x
C) x
D) e^x

✅ Answer: A

Explanation:
d/dx (ln x) = 1/x

42. ∫ 1/x dx = ?

A) x
B) ln x
C) ln|x| + C
D) 1/x

✅ Answer: C

Explanation:
Integral of 1/x = ln|x| + C

43. Eigenvalues of identity matrix (3×3)

A) 0
B) 1
C) 3
D) -1

✅ Answer: B

Explanation:
All eigenvalues of identity matrix = 1

44. If matrix determinant = 0, matrix is?

A) Invertible
B) Singular
C) Diagonal
D) Identity

✅ Answer: B

Explanation:
Determinant = 0 → No inverse → Singular matrix

45. Mean of Poisson distribution is?

A) λ
B) λ²
C) 1/λ
D) 0

✅ Answer: A

Explanation:
In Poisson distribution, mean = variance = λ

46. If P(A)=0.7, P(B)=0.5, P(A∩B)=0.4, find P(A∪B)

A) 0.8
B) 0.6
C) 0.9
D) 1

✅ Answer: A

Explanation:
P(A∪B) = P(A) + P(B) – P(A∩B)
= 0.7 + 0.5 – 0.4
= 0.8

47. Derivative of cos x

A) sin x
B) -sin x
C) cos x
D) -cos x

✅ Answer: B

Explanation:
d/dx (cos x) = -sin x

48. Variance of Binomial distribution

A) np
B) np(1-p)
C) n²p
D) p(1-p)

✅ Answer: B

Explanation:
Variance of binomial = np(1-p)

49. If correlation r = 0

A) Perfect positive
B) Perfect negative
C) No linear relation
D) Strong

✅ Answer: C

Explanation:
r = 0 → No linear correlation

50. Solve: lim(x→∞) 1/x

A) 1
B) 0
C) ∞
D) -1

✅ Answer: B

Explanation:
As x increases, 1/x → 0

51. If A is 2×2 matrix, adj(A) is?

A) 2×2
B) 1×1
C) 2×1
D) 1×2

✅ Answer: A

Explanation:
Adjoint has same order as original matrix

52. Standard normal distribution mean

A) 0
B) 1
C) -1
D) 0.5

✅ Answer: A

Explanation:
Standard normal: Mean = 0, SD = 1

53. ∫ cos x dx

A) sin x
B) -sin x
C) cos x
D) -cos x

✅ Answer: A

Explanation:
Integral of cos x = sin x + C

54. If determinant ≠ 0, system of equations is?

A) Inconsistent
B) Unique solution
C) Infinite solutions
D) No solution

✅ Answer: B

Explanation:
Non-zero determinant → Unique solution

55. Probability always lies between?

A) -1 and 1
B) 0 and 1
C) -∞ and ∞
D) 1 and 2

✅ Answer: B

Explanation:
0 ≤ P ≤ 1

56. Derivative of e^(2x)

A) 2e^(2x)
B) e^(2x)
C) 2x e^(2x)
D) e^x

✅ Answer: A

Explanation:
Chain rule:
d/dx e^(2x) = 2e^(2x)

57. If variance = 9, SD?

A) 3
B) 9
C) 81
D) 6

✅ Answer: A

Explanation:
SD = √9 = 3

58. Rank of zero matrix

A) 0
B) 1
C) 2
D) n

✅ Answer: A

Explanation:
No non-zero rows → Rank = 0

59. If P(A|B) = P(A), then events are?

A) Dependent
B) Independent
C) Mutually exclusive
D) Impossible

✅ Answer: B

Explanation:
If conditional probability same → Independent

60. Area under normal distribution curve

A) 0
B) 1
C) ∞
D) 0.5

✅ Answer: B

Explanation:
Total probability under curve = 1

61. If A is a 2×2 matrix and |A| = 5, then |kA| = ? (k = 3)

A) 15
B) 45
C) 9
D) 5

✅ Answer: B

Explanation:
For n×n matrix:
|kA| = kⁿ |A|

Here n=2
|3A| = 3² × 5 = 9×5 = 45

62. If mean = 10 and SD = 2, variance = ?

A) 2
B) 4
C) 8
D) 20

✅ Answer: B

Explanation:
Variance = (SD)² = 2² = 4

63. If X ~ Binomial (n=5, p=0.5), mean = ?

A) 2.5
B) 5
C) 1
D) 0.5

✅ Answer: A

Explanation:
Mean = np = 5×0.5 = 2.5

64. Derivative of tan x

A) sec²x
B) cosec²x
C) sec x
D) tan x

✅ Answer: A

Explanation:
d/dx (tan x) = sec²x

65. If correlation r = 1

A) No relation
B) Perfect positive
C) Perfect negative
D) Weak

✅ Answer: B

Explanation:
r = 1 → Perfect positive linear relation

66. ∫ 0 dx = ?

A) 0
B) C
C) x
D) 1

✅ Answer: B

Explanation:
Integral of 0 = constant (C)

67. If determinant of A = -2 and determinant of B = 3, then |AB| = ?

A) 6
B) -6
C) 1
D) -1

✅ Answer: B

Explanation:
|AB| = |A||B|
= (-2)(3) = -6

68. If probability of success p=0.3, failure q=?

A) 0.3
B) 0.7
C) 1
D) 0

✅ Answer: B

Explanation:
p + q = 1
q = 1 – 0.3 = 0.7

69. lim(x→0) (1 – cos x)/x² = ?

A) 0
B) 1
C) 1/2
D) 2

✅ Answer: C

Explanation:
Standard limit:
lim(x→0) (1 – cos x)/x² = 1/2

70. If regression line slope is positive

A) Negative relation
B) Positive relation
C) No relation
D) Constant

✅ Answer: B

Explanation:
Positive slope → Positive relationship

71. Eigenvalues of zero matrix

A) 1
B) 0
C) n
D) -1

✅ Answer: B

Explanation:
All eigenvalues = 0

72. If variance increases, spread becomes?

A) Smaller
B) Same
C) Larger
D) Zero

✅ Answer: C

Explanation:
Higher variance → More dispersion

73. ∫ sin x dx

A) cos x
B) -cos x
C) sin x
D) -sin x

✅ Answer: B

Explanation:
Integral of sin x = -cos x + C

74. If P(A)=1, event is?

A) Impossible
B) Random
C) Certain
D) Rare

✅ Answer: C

Explanation:
Probability 1 → Certain event

75. If determinant of A ≠ 0, A⁻¹ exists?

A) Yes
B) No
C) Sometimes
D) Never

✅ Answer: A

Explanation:
Non-zero determinant → Invertible matrix

76. Mean of normal distribution

A) Mode
B) Median
C) Mean
D) All equal

✅ Answer: D

Explanation:
For normal distribution:
Mean = Median = Mode

77. d/dx (x⁻¹)

A) -x⁻²
B) x⁻²
C) -x
D) x

✅ Answer: A

Explanation:
Derivative rule:
n xⁿ⁻¹
= -1 × x⁻²

78. If covariance is positive

A) Variables move opposite
B) No relation
C) Move same direction
D) Constant

✅ Answer: C

Explanation:
Positive covariance → Same direction

79. Total area under probability density function

A) 0
B) 1
C) ∞
D) Depends

✅ Answer: B

Explanation:
Total probability always = 1

80. If slope = 0 and intercept = 5, equation is?

A) y = 5
B) y = x + 5
C) y = 5x
D) y = 0

✅ Answer: A

Explanation:
Slope 0 → Horizontal line
Equation: y = constant = 5

81. If X ~ Poisson (λ = 4), mean = ?

A) 2
B) 4
C) 8
D) 16

✅ Answer: B

Explanation:
For Poisson distribution:
Mean = λ
= 4

82. Standard deviation of Poisson (λ=9)

A) 9
B) 3
C) 81
D) 1

✅ Answer: B

Explanation:
SD = √λ
= √9 = 3

83. If A is orthogonal matrix, AᵀA = ?

A) 0
B) A
C) I
D) A⁻¹

✅ Answer: C

Explanation:
Orthogonal matrix property:
AᵀA = I

84. If determinant = 0, system of equations is

A) Unique solution
B) Infinite/No solution
C) Always consistent
D) Always unique

✅ Answer: B

Explanation:
|A| = 0 → Matrix not invertible
So either no solution or infinite solutions

85. ∫ eˣ dx

A) eˣ
B) eˣ + C
C) xeˣ
D) eˣ – C

✅ Answer: B

Explanation:
Integral of eˣ = eˣ + C

86. If correlation r = -1

A) Perfect positive
B) Perfect negative
C) No relation
D) Weak

✅ Answer: B

Explanation:
r = -1 → Perfect negative linear relation

87. Variance of constant (k)

A) k
B) 1
C) 0
D) Depends

✅ Answer: C

Explanation:
Constant has no variation → Variance = 0

88. If f(x) continuous on [a,b], then ∫aᵇ f(x)dx gives

A) Derivative
B) Area under curve
C) Slope
D) Limit

✅ Answer: B

Explanation:
Definite integral represents area under curve

89. If eigenvalues are 2 and 3, determinant = ?

A) 5
B) 6
C) 1
D) 0

✅ Answer: B

Explanation:
Determinant = product of eigenvalues
= 2 × 3 = 6

90. If Z = (X – μ)/σ, Z is

A) Normal
B) Standard Normal
C) Binomial
D) Poisson

✅ Answer: B

Explanation:
Standardization formula → Z follows standard normal (mean=0, SD=1)

91. d/dx (ln x)

A) x
B) 1/x
C) ln x
D) -1/x

✅ Answer: B

Explanation:
Derivative of ln x = 1/x

92. If two events are mutually exclusive

A) Can occur together
B) Cannot occur together
C) Independent
D) Equal probability

✅ Answer: B

Explanation:
Mutually exclusive → No overlap

93. If A is idempotent matrix (A² = A), eigenvalues are

A) Only 0
B) Only 1
C) 0 or 1
D) Any value

✅ Answer: C

Explanation:
Property: eigenvalues of idempotent matrix are 0 or 1

94. ∫ x dx

A) x
B) x²
C) x²/2 + C
D) 2x

✅ Answer: C

Explanation:
Integral rule:
xⁿ → xⁿ⁺¹/(n+1)
= x²/2 + C

95. If sample size increases, standard error

A) Increases
B) Decreases
C) Same
D) Zero

✅ Answer: B

Explanation:
SE = σ/√n
As n increases → SE decreases

96. Mean of exponential distribution (λ)

A) λ
B) 1/λ
C) λ²
D) √λ

✅ Answer: B

Explanation:
Mean = 1/λ

97. If covariance = 0, variables are

A) Always independent
B) Always dependent
C) Uncorrelated
D) Equal

✅ Answer: C

Explanation:
Covariance 0 → No linear relation (uncorrelated)
Not necessarily independent

98. If |A| = 1, A is

A) Singular
B) Invertible
C) Zero matrix
D) Idempotent

✅ Answer: B

Explanation:
Non-zero determinant → Invertible

99. ∫ 1/x dx

A) ln x + C
B) x
C) 1/x
D) eˣ

✅ Answer: A

Explanation:
Integral of 1/x = ln x + C

100. Total probability rule states

A) P(A) = 0
B) P(A) = 1
C) Sum of all possible outcomes = 1
D) Probability negative

✅ Answer: C

Explanation:
Total probability of sample space = 1

💻 Programming

1. Who developed C language?

A) Dennis Ritchie
B) Bjarne Stroustrup
C) James Gosling
D) Ken Thompson

✅ Answer: A

Explanation:
C language was developed by Dennis Ritchie at Bell Labs.

2. C language was developed at?

A) Microsoft
B) Bell Labs
C) IBM
D) Google

✅ Answer: B

Explanation:
C was developed at Bell Laboratories.

3. Which header file is required for printf()?

A) stdlib.h
B) stdio.h
C) string.h
D) math.h

✅ Answer: B

Explanation:
printf() is defined in stdio.h

4. What is size of int (typically)?

A) 2 bytes
B) 4 bytes
C) 8 bytes
D) Depends on system

✅ Answer: D

Explanation:
Size of int depends on compiler/system (commonly 4 bytes).

5. Which is correct comment in C?

A) // comment
B) /* comment */
C) Both A and B
D) # comment

✅ Answer: C

Explanation:
C supports both single-line (//) and multi-line (/* */) comments.

6. What is the output?

int x = 5;
printf("%d", x++);

A) 5
B) 6
C) Error
D) 4

✅ Answer: A

Explanation:
Post-increment → first prints 5, then increments.

7. Which operator is used for address?

A) *
B) &
C) %
D) #

✅ Answer: B

Explanation:
& gives address of variable.

8. What is pointer?

A) Variable storing value
B) Variable storing address
C) Function
D) Loop

✅ Answer: B

Explanation:
Pointer stores memory address.

9. Which loop executes at least once?

A) for
B) while
C) do-while
D) if

✅ Answer: C

Explanation:
do-while executes body first, then checks condition.

10. Which is correct declaration of pointer?

A) int p;
B) int *p;
C) pointer p;
D) int &p;

✅ Answer: B

Explanation:
int *p; declares pointer to int.

11. What is output?

printf("%d", 10/3);

A) 3.33
B) 3
C) 4
D) Error

✅ Answer: B

Explanation:
Integer division → 10/3 = 3

12. Which function is used to allocate memory dynamically?

A) malloc()
B) calloc()
C) realloc()
D) All

✅ Answer: D

Explanation:
All are dynamic memory allocation functions.

13. What is NULL pointer?

A) Pointer with garbage value
B) Pointer pointing to nothing
C) Integer
D) Function

✅ Answer: B

Explanation:
NULL pointer points to no valid memory.

14. Which storage class is default for local variable?

A) static
B) auto
C) register
D) extern

✅ Answer: B

Explanation:
Local variables are auto by default.

15. Recursion is?

A) Loop
B) Function calling itself
C) Pointer
D) Structure

✅ Answer: B

Explanation:
Recursion → function calls itself.

16. What is output?

int a=2;
if(a=5)
printf("Yes");

A) Yes
B) No
C) Error
D) Nothing

✅ Answer: A

Explanation:
a=5 assigns value → condition true → prints Yes.

17. Which is not a data type?

A) int
B) float
C) string
D) char

✅ Answer: C

Explanation:
C does not have built-in string type (uses char array).

18. Which operator has highest precedence?

A) +
B) *
C) ()
D) =

✅ Answer: C

Explanation:
Parentheses have highest precedence.

19. What is structure in C?

A) Collection of same data types
B) Collection of different data types
C) Loop
D) Function

✅ Answer: B

Explanation:
Structure stores different types of data.

20. What is output?

printf("%d", sizeof(char));

A) 1
B) 2
C) 4
D) Depends

✅ Answer: A

Explanation:
Size of char is always 1 byte.

21. Stack follows which principle?

A) FIFO
B) LIFO
C) LILO
D) FILO

✅ Answer: B

Explanation:
Stack works on Last In First Out (LIFO) principle.

22. Queue follows which principle?

A) LIFO
B) FIFO
C) FILO
D) Random

✅ Answer: B

Explanation:
Queue works on First In First Out (FIFO).

23. Which data structure uses recursion internally?

A) Queue
B) Stack
C) Array
D) Graph

✅ Answer: B

Explanation:
Recursion uses function call stack internally.

24. Time complexity of binary search

A) O(n)
B) O(n²)
C) O(log n)
D) O(1)

✅ Answer: C

Explanation:
Binary search divides array into halves → log n.

25. Which data structure is used for BFS?

A) Stack
B) Queue
C) Array
D) Tree

✅ Answer: B

Explanation:
Breadth First Search uses Queue.

26. Which data structure is used for DFS?

A) Queue
B) Stack
C) Linked list
D) Heap

✅ Answer: B

Explanation:
Depth First Search uses Stack (or recursion).

27. In a singly linked list, last node contains

A) Address of first
B) NULL
C) Data
D) Both B and C

✅ Answer: D

Explanation:
Last node contains data and next = NULL.

28. In worst case, linear search time complexity

A) O(1)
B) O(log n)
C) O(n)
D) O(n²)

✅ Answer: C

Explanation:
May need to check all elements.

29. A complete binary tree with n nodes has height

A) log n
B) n
C) n²
D) 1

✅ Answer: A

Explanation:
Height of complete binary tree ≈ log n.

30. Heap is implemented using

A) Linked list
B) Array
C) Stack
D) Graph

✅ Answer: B

Explanation:
Heap is a complete binary tree → stored in an array.

31. Inorder traversal of BST gives

A) Sorted order
B) Reverse order
C) Random
D) Level order

✅ Answer: A

Explanation:
Inorder traversal of BST → sorted sequence.

32. Circular queue overcomes

A) Overflow
B) Underflow
C) Wastage of space
D) Recursion

✅ Answer: C

Explanation:
Circular queue reuses empty space.

33. Which is a non-linear data structure?

A) Array
B) Stack
C) Queue
D) Tree

✅ Answer: D

Explanation:
A tree is a non-linear structure.

34. Worst-case time of quicksort

A) O(n log n)
B) O(n²)
C) O(log n)
D) O(n)

✅ Answer: B

Explanation:
Worst case occurs when pivot selection is poor.

35. Which traversal uses queue?

A) Preorder
B) Inorder
C) Postorder
D) Level order

✅ Answer: D

Explanation:
Level order traversal uses queue.

36. Hashing provides average search time

A) O(n)
B) O(log n)
C) O(1)
D) O(n²)

✅ Answer: C

Explanation:
Average time complexity is constant.

37. Which structure is used for expression evaluation?

A) Queue
B) Stack
C) Array
D) Graph

✅ Answer: B

Explanation:
A stack is used for postfix/prefix evaluation.

38. Graph with no cycles is

A) Complete graph
B) Tree
C) Directed graph
D) Weighted graph

✅ Answer: B

Explanation:
A tree is an acyclic connected graph.

39. The adjacency matrix is used to represent

A) Tree
B) Graph
C) Stack
D) Queue

✅ Answer: B

Explanation:
Graph can be represented using adjacency matrix.

40. Deletion in array requires

A) No shifting
B) Shifting elements
C) Recursion
D) Sorting

✅ Answer: B

Explanation:
After deletion, elements must be shifted.

41. DBMS stands for

A) Data Backup Management System
B) Database Management System
C) Data Binary Management System
D) Database Memory System

✅ Answer: B

Explanation:
DBMS = Database Management System.

42. Which language is used to query database?

A) C
B) SQL
C) Java
D) Python

✅ Answer: B

Explanation:
Structured Query Language (SQL) is used for database operations.

43. Which command is used to retrieve data?

A) INSERT
B) UPDATE
C) SELECT
D) DELETE

✅ Answer: C

Explanation:
SELECT retrieves records from table.

44. Primary key must be

A) Duplicate
B) Null
C) Unique & Not Null
D) Random

✅ Answer: C

Explanation:
Primary key uniquely identifies each record.

45. Foreign key is used to

A) Delete table
B) Link two tables
C) Sort data
D) Create view

✅ Answer: B

Explanation:
Foreign key creates relationship between tables.

46. Normalization reduces

A) Redundancy
B) Speed
C) Storage
D) Security

✅ Answer: A

Explanation:
Normalization removes data redundancy.

47. Which normal form removes partial dependency?

A) 1NF
B) 2NF
C) 3NF
D) BCNF

✅ Answer: B

Explanation:
2NF removes partial dependency.

48. ACID property ensures

A) Speed
B) Security
C) Transaction reliability
D) Memory

✅ Answer: C

Explanation:
ACID = Atomicity, Consistency, Isolation, Durability.

49. Which SQL clause is used to filter rows?

A) WHERE
B) ORDER BY
C) GROUP BY
D) HAVING

✅ Answer: A

Explanation:
WHERE filters records based on condition.

50. Which command removes table completely?

A) DELETE
B) DROP
C) REMOVE
D) CLEAR

✅ Answer: B

Explanation:
DROP deletes entire table structure.

51. Which join returns matching rows only?

A) LEFT JOIN
B) RIGHT JOIN
C) INNER JOIN
D) FULL JOIN

✅ Answer: C

Explanation:
INNER JOIN returns only matching records.

52. Candidate key is

A) Primary key
B) Foreign key
C) Any key that can become primary key
D) Super key

✅ Answer: C

Explanation:
Candidate key is minimal super key.

53. Which command modifies table structure?

A) ALTER
B) UPDATE
C) INSERT
D) SELECT

✅ Answer: A

Explanation:
ALTER changes structure of table.

54. Which constraint ensures no duplicate values?

A) UNIQUE
B) NOT NULL
C) CHECK
D) DEFAULT

✅ Answer: A

Explanation:
UNIQUE prevents duplicate entries.

55. Which SQL clause groups rows?

A) WHERE
B) GROUP BY
C) ORDER BY
D) SELECT

✅ Answer: B

Explanation:
GROUP BY groups records.

56. Transaction rollback is done using

A) COMMIT
B) SAVE
C) ROLLBACK
D) DELETE

✅ Answer: C

Explanation:
ROLLBACK undoes changes.

57. View is

A) Physical table
B) Virtual table
C) Index
D) Trigger

✅ Answer: B

Explanation:
View is virtual table based on query.

58. Which index improves search speed?

A) Primary
B) Secondary
C) Both
D) None

✅ Answer: C

Explanation:
Both types of indexes improve searching.

59. Which key uniquely identifies tuple?

A) Foreign key
B) Primary key
C) Composite key
D) Super key

✅ Answer: B

Explanation:
Primary key uniquely identifies row.

60. Full form of SQL

A) Structured Question Language
B) System Query Language
C) Structured Query Language
D) Simple Query Language

✅ Answer: C

Explanation:
SQL = Structured Query Language.

61. Operating System acts as

A) User
B) Interface between user & hardware
C) Compiler
D) Application

✅ Answer: B

Explanation:
OS works as interface between user and computer hardware.

62. Which is not an OS?

A) Linux
B) Windows
C) Oracle
D) macOS

✅ Answer: C

Explanation:
Oracle is a database system, not an OS.

63. Which scheduling algorithm uses time quantum?

A) FCFS
B) SJF
C) Round Robin
D) Priority

✅ Answer: C

Explanation:
Round Robin uses fixed time slice (quantum).

64. Deadlock occurs when

A) CPU idle
B) Two or more processes wait indefinitely
C) Process completes
D) Memory full

✅ Answer: B

Explanation:
Deadlock → processes waiting for each other forever.

65. Which memory is volatile?

A) ROM
B) Hard disk
C) RAM
D) DVD

✅ Answer: C

Explanation:
RAM loses data when power off.

66. Thrashing occurs due to

A) Excess CPU
B) Excess paging
C) Large disk
D) Cache

✅ Answer: B

Explanation:
Too much paging/swapping → thrashing.

67. Which is a non-preemptive scheduling algorithm?

A) Round Robin
B) SJF (non-preemptive)
C) Priority (preemptive)
D) Multilevel queue

✅ Answer: B

Explanation:
Non-preemptive SJF runs until completion.

68. Page replacement algorithm example

A) FIFO
B) LRU
C) Optimal
D) All

✅ Answer: D

Explanation:
All are page replacement algorithms.

69. Context switching means

A) Switching memory
B) Switching CPU from one process to another
C) Restarting system
D) Deleting process

✅ Answer: B

Explanation:
CPU switches from one process to another.

70. Semaphore is used for

A) Memory
B) Synchronization
C) File system
D) CPU

✅ Answer: B

Explanation:
Semaphore controls process synchronization.

71. Kernel is

A) Core part of OS
B) Application
C) Hardware
D) Compiler

✅ Answer: A

Explanation:
Kernel is central component of OS.

72. Which system allows multiple users?

A) Single-user
B) Batch
C) Multi-user
D) Real-time

✅ Answer: C

Explanation:
Multi-user OS allows multiple users simultaneously.

73. Paging avoids

A) External fragmentation
B) Internal fragmentation
C) Deadlock
D) Scheduling

✅ Answer: A

Explanation:
Paging removes external fragmentation.

74. Which scheduling gives minimum average waiting time?

A) FCFS
B) SJF
C) Round Robin
D) FIFO

✅ Answer: B

Explanation:
Shortest Job First minimizes waiting time.

75. Critical section problem relates to

A) CPU
B) Memory
C) Process synchronization
D) Disk

✅ Answer: C

Explanation:
Critical section → shared resource protection.

76. Virtual memory uses

A) RAM only
B) Hard disk as extension of RAM
C) Cache
D) ROM

✅ Answer: B

Explanation:
Virtual memory uses disk space.

77. File system manages

A) CPU
B) Memory
C) Files & directories
D) Cache

✅ Answer: C

Explanation:
File system organizes files and directories.

78. Fork() system call is used to

A) Delete process
B) Create new process
C) Stop process
D) Compile program

✅ Answer: B

Explanation:
fork() creates child process.

79. Starvation occurs when

A) Process never gets CPU
B) Process ends
C) Disk full
D) Memory empty

✅ Answer: A

Explanation:
Low-priority process never executed.

80. Banker's Algorithm is used for

A) Scheduling
B) Deadlock avoidance
C) Memory allocation
D) Paging

✅ Answer: B

Explanation:
Banker’s algorithm avoids deadlock.

81. What is the output of the following C code?

int a = 5;
printf("%d %d", a, ++a);

A) 5 6
B) 6 6
C) 5 5
D) Undefined behavior

✅ Answer: D

Explanation:
Modifying and accessing the same variable in one statement without sequence point → Undefined behavior in C.

82. Which data structure is best for implementing recursion?

A) Queue
B) Stack
C) Linked List
D) Tree

✅ Answer: B

Explanation:
Recursion uses system call stack.

83. Which normal form removes transitive dependency?

A) 1NF
B) 2NF
C) 3NF
D) BCNF

✅ Answer: C

Explanation:
3NF removes transitive dependency.

84. In OS, aging technique prevents

A) Deadlock
B) Starvation
C) Thrashing
D) Paging

✅ Answer: B

Explanation:
Aging increases priority of waiting processes → prevents starvation.

85. What is worst case time complexity of heap sort?

A) O(n)
B) O(n log n)
C) O(n²)
D) O(log n)

✅ Answer: B

Explanation:
Heap sort worst case = O(n log n).

86. Which command permanently saves transaction?

A) ROLLBACK
B) SAVEPOINT
C) COMMIT
D) DELETE

✅ Answer: C

Explanation:
COMMIT makes changes permanent.

87. What does ptr++ mean?*

A) Increment value
B) Increment pointer
C) Error
D) Decrement pointer

✅ Answer: B

Explanation:
Operator precedence → *(ptr++)
Pointer increments.

88. In circular linked list, last node points to

A) NULL
B) First node
C) Middle
D) Random

✅ Answer: B

Explanation:
Last node links back to first.

89. Deadlock requires how many conditions?

A) 2
B) 3
C) 4
D) 5

✅ Answer: C

Explanation:
Deadlock conditions:

Mutual exclusion
Hold & wait
No preemption
Circular wait

90. Which SQL clause is used after GROUP BY to filter groups?

A) WHERE
B) HAVING
C) SELECT
D) ORDER BY

✅ Answer: B

Explanation:
HAVING filters grouped results.

91. Height of AVL tree is

A) O(n)
B) O(log n)
C) O(n²)
D) O(1)

✅ Answer: B

Explanation:
AVL tree is self-balancing → height log n.

92. What is zombie process?

A) Running process
B) Dead process waiting for parent
C) Idle process
D) System process

✅ Answer: B

Explanation:
Zombie → terminated but not removed from process table.

93. Which operator is used to access structure pointer?

A) .
B) ->
C) *
D) &

✅ Answer: B

Explanation:
ptr->member accesses structure member via pointer.

94. Which indexing uses hash function?

A) B-tree
B) Hash index
C) Primary index
D) Dense index

✅ Answer: B

Explanation:
Hash indexing uses hash function.

95. Which traversal gives postfix expression?

A) Inorder
B) Preorder
C) Postorder
D) Level order

✅ Answer: C

Explanation:
Postorder traversal → Postfix expression.

96. Which scheduling may cause starvation?

A) FCFS
B) Round Robin
C) Priority
D) FIFO

✅ Answer: C

Explanation:
Low-priority processes may never execute.

97. What is time complexity of inserting in linked list (beginning)?

A) O(n)
B) O(log n)
C) O(1)
D) O(n²)

✅ Answer: C

Explanation:
Insertion at beginning → constant time.

98. Which key can uniquely identify record even if primary key changes?

A) Foreign key
B) Super key
C) Alternate key
D) Composite key

✅ Answer: B

Explanation:
Super key uniquely identifies record.

99. Which memory allocation is faster?

A) Static
B) Dynamic
C) Heap
D) Virtual

✅ Answer: A

Explanation:
Static allocation done at compile time → faster.

100. Multiprogramming improves

A) Security
B) CPU utilization
C) Memory size
D) Disk speed

✅ Answer: B

Explanation:
Multiprogramming keeps CPU busy.

MCA Entrance Exam 2026: Important Questions & Solutions

🔹 Logic / Reasoning

1. If A=1, B=2, C=3… then CAT = ?

2. Find next number: 2, 6, 12, 20, 30, ?

3. Odd one out: 121, 144, 169, 196, 225

4. Series: 1, 4, 9, 16, 25, ?

5. 5, 10, 20, 40, ?

6. Mirror image of 2:15 is?

7. 8, 27, 64, 125, ?

8. 7, 14, 28, ?, 112

9. If A is father of B, B is sister of C. A is what of C?

10. 1, 1, 2, 3, 5, 8, ?

11. 2, 3, 5, 9, 17, ?

12. Clock angle at 3:30?

13. Alphabet series: A, C, F, J, O, ?

14. Odd one out: Triangle, Square, Circle, Cube

15. 6, 13, 20, 27, ?

16. 4, 9, 16, 25, 36, ?

17. 100 ÷ 4 × 5 = ?

18. 7 × 8 – 6 = ?

19. If SOUTH = UVWUJ, then NORTH = ?

20. Odd one out: Rose, Lotus, Mango, Lily

21. Find next number:

22. If MONDAY = 123456, then DAY = ?

23. Find the missing term:

24. In a row of 40 students, Ram is 12th from left. What is his position from right?

25. If 9 + 3 = 27, 8 + 2 = 16, then 7 + 3 = ?

26. Find next alphabet:

27. A man walks 10m north, then 10m east, then 10m south. Where is he?

28. 121, 1331, 14641, ?

29. Find odd one out:

30. If A=1, B=3, C=6, D=10, E=15… then F = ?

31. 1, 4, 13, 40, ?

32. If CAT = 24, DOG = ?

33. A clock shows 6:00. Angle between hands?

34. 3, 9, 27, 81, ?

35. Find next number:

36. If all pens are books and all books are bags, then pens are definitely?

37. Find missing term:

38. In a family of 6, each shakes hand once. Total handshakes?

39. Find odd one:

40. If 5×5 = 30, 6×6 = 42, then 7×7 = ?

41. Find next number:

42. If ‘PAPER’ is coded as ‘QBQFS’, then ‘BOOK’ is coded as?

**43. A is brother of B. B is sister of C. C is father of D.

44. Find missing term:

45. 11, 13, 17, 19, 23, ?

46. If 8 + 4 = 96, 7 + 3 = 63, then 6 + 2 = ?

47. In a queue of 50 students, Riya is 20th from front. Position from back?

48. Find next alphabet:

**49. 3 persons A, B, C sitting in a row.

50. Find missing number:

51. If all cats are dogs and some dogs are cows, then some cats are cows?

52. 5, 6, 9, 18, 45, ?

53. Mirror time of 5:20?

54. Find odd one:

55. 121, 144, 169, ?, 225

56. If SKY = 55, SUN = 54, then SEA = ?

57. 4 men build wall in 6 days. 2 men build in?

58. Find next:

59. If Monday is 1 Jan, what day is 4 Jan?

60. 3, 5, 11, 21, 43, ?

61. Find next number:

**62. A is mother of B. B is brother of C. C is father of D.

**63. Statement: All pens are books. Some books are tables.

64. 1, 4, 9, 16, 25, 36, ?

**65. In a row of 60 students, Rahul is 25th from left.

66. Find odd one:

**67. A man walks 5 km north, 3 km east, 5 km south.

68. 3, 7, 15, 31, 63, ?

69. If CAT = 24, BAT = ?

70. 5 persons shake hands once. Total handshakes?

71. If January 1 is Sunday, what day is January 10?

72. Find next:

**73. Statement: All apples are fruits. All fruits are healthy.

74. Find odd one:

**75. If 2 men complete work in 8 days.

76. Find next:

**77. A is taller than B, B taller than C.

78. Find next alphabet: