⭐ 100 Quantitative Aptitude MCQs with Explanation
(Level: Class VI–X | For All Competitive Exams)
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1. Simplify: (85 ÷ 5) × 4
A) 64
B) 68
C) 72
D) 80
✔️ Answer: B (68)
Explanation:
First divide → 85 ÷ 5 = 17
Then multiply → 17 × 4 = 68
👉 Correct Answer: B (68)
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2. Three consecutive numbers sum to 72. What is the middle number?
A) 22
B) 23
C) 24
D) 25
✔️ Answer: C (24)
Explanation:
Let numbers = (x – 1), x, (x + 1)
Sum = 3x = 72
x = 72 ÷ 3 = 24 → middle number.
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3. Simplify: 3/4 + 2/3
A) 17/12
B) 23/12
C) 25/12
D) 13/12
✔️ Answer: A (17/12)
Explanation:
LCM of 4 and 3 = 12
(3/4 = 9/12)
(2/3 = 8/12)
Sum = 17/12.
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4. 15% of 200 = ?
A) 25
B) 20
C) 30
D) 35
✔️ Answer: C (30)
Explanation:
15% = 15/100
= 0.15 × 200 = 30.
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5. If 8 pens cost ₹120, what is the cost of 5 pens?
A) ₹65
B) ₹70
C) ₹75
D) ₹80
✔️ Answer: C (75)
Explanation:
Cost of 1 pen = 120 ÷ 8 = 15
Cost of 5 pens = 15 × 5 = 75.
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6. Solve: 2x + 7 = 25
A) 9
B) 8
C) 7
D) 6
✔️ Answer: A (9)
Explanation:
2x = 25 – 7 = 18
x = 18 ÷ 2 = 9.
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7. Ratio of 72 : 120 = ?
A) 3 : 4
B) 2 : 5
C) 5 : 8
D) 3 : 5
✔️ Answer: D (3 : 5)
Explanation:
Divide both by 24:
72 ÷ 24 = 3
120 ÷ 24 = 5.
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8. Average of 14, 17, 19, 20 = ?
A) 15
B) 16
C) 17.5
D) 18
✔️ Answer: C (17.5)
Explanation:
Sum = 14 + 17 + 19 + 20 = 70
Average = 70 ÷ 4 = 17.5.
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9. Simplify: 48 ÷ 2 × 3
A) 72
B) 48
C) 36
D) 64
✔️ Answer: A (72)
Explanation:
Follow BODMAS:
48 ÷ 2 = 24
24 × 3 = 72.
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10. A car travels 240 km in 4 hours. Speed = ?
A) 50 km/h
B) 55 km/h
C) 60 km/h
D) 65 km/h
✔️ Answer: C (60 km/h)
Explanation:
Speed = Distance ÷ Time
= 240 ÷ 4 = 60.
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11. If x/5 = 9, find x.
A) 35
B) 40
C) 45
D) 50
✔️ Answer: C (45)
Explanation:
x = 9 × 5 = 45.
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12. Simplify: (3/5) × (25/9)
A) 5/3
B) 3/5
C) 25/15
D) 15/25
✔️ Answer: A (5/3)
Explanation:
(3×25) / (5×9)
= 75/45
= 5/3.
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13. Value of (2³ × 5²) = ?
A) 100
B) 150
C) 200
D) 250
✔️ Answer: C (200)
Explanation:
2³ = 8
5² = 25
8 × 25 = 200.
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14. Simple Interest on ₹800 at 10% for 2 years = ?
A) 120
B) 140
C) 150
D) 160
✔️ Answer: A (120)
Explanation:
SI = (P × R × T)/100
= (800×10×2)/100 = 160?
Wait → correct calc:
800×10×2 = 16000
16000 ÷ 100 = 160
👉 Correct Answer = D (160)
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15. Area of rectangle = 54 cm², length = 9 cm. Breadth = ?
A) 5
B) 6
C) 7
D) 4
✔️ Answer: B (6)
Explanation:
Area = L × B
54 = 9 × B
B = 6 cm.
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16. Solve: 4(x − 3) = 2x + 8
A) 10
B) 12
C) 8
D) 6
✔️ Answer: A (10)
Explanation:
Expand: 4x − 12 = 2x + 8
4x − 2x = 8 + 12
2x = 20
x = 10.
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17. Value of √196 = ?
A) 12
B) 13
C) 14
D) 16
✔️ Answer: C (14)
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18. Speed increases from 60 to 75 km/h. % increase = ?
A) 20%
B) 22.5%
C) 25%
D) 30%
✔️ Answer: C (25%)
Explanation:
Increase = 75 − 60 = 15
% increase = (15/60)×100 = 25%.
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19. CP = ₹500, SP = ₹550. Profit% = ?
A) 8%
B) 9%
C) 10%
D) 12%
✔️ Answer: C (10%)
Explanation:
Profit = 50
Profit% = (50/500)×100 = 10%.
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20. 3 men complete a work in 12 days.
How many days will 6 men take?
A) 3
B) 4
C) 6
D) 8
✔️ Answer: C (6 days)
Explanation:
More men → Less time
Men × Days = Constant
3 × 12 = 6 × D
36 = 6D
D = 6.
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Great! Here are the next 80 MCQs WITH DETAILED EXPLANATION, completing the full 100 Quantitative Aptitude MCQs (Class VI–X level) for all competitive exams.
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⭐ MCQs 21 to 100 WITH EXPLANATION
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🔵 21. Find the value: 25% of 360
A) 60
B) 80
C) 90
D) 100
✔️ Answer: C (90)
Explanation:
25% = 1/4
360 ÷ 4 = 90.
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🔵 22. If the ratio of boys to girls is 3 : 2 and there are 45 boys, number of girls = ?
A) 20
B) 25
C) 30
D) 40
✔️ Answer: C (30)
Explanation:
3 parts = 45 → 1 part = 15
Girls = 2 parts = 30.
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🔵 23. Selling Price: ₹480, Loss: 20%. Find Cost Price.
A) ₹550
B) ₹600
C) ₹720
D) ₹480
✔️ Answer: C (600)
Explanation:
SP = 80% of CP
480 = 0.8 CP
CP = 480 ÷ 0.8 = 600.
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🔵 24. What is 0.75 × 0.2?
A) 0.12
B) 0.13
C) 0.14
D) 0.15
✔️ Answer: A (0.15)
Explanation:
75 × 20 = 1500
Place 4 decimal places → 0.1500 = 0.15.
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🔵 25. Solve: 5² − 3²
A) 12
B) 16
C) 18
D) 25
✔️ Answer: C (16)
Correct calculation:
5² = 25
3² = 9
25 − 9 = 16
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🔵 26. The average of 22, 32, 42, 52 is—
A) 20
B) 25
C) 37
D) 37
✔️ Answer: C (37)
Explanation:
Sum = 148
Average = 148 ÷ 4 = 37.
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🔵 **27. 6 men finish a work in 20 days.
How many days will 10 men take?**
A) 10
B) 12
C) 15
D) 20
✔️ Answer: C (12)
Explanation:
Men × Days = Constant
6 × 20 = 10 × D
120 = 10D
D = 12.
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🔵 28. Find the simple interest on ₹5000 at 12% for 2 years.
A) ₹1000
B) ₹1200
C) ₹1100
D) ₹1500
✔️ Answer: B (1200)
Explanation:
SI = (P×R×T)/100
= 5000×12×2/100 = 1200.
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🔵 29. If x + 5 = 17, find x.
A) 10
B) 11
C) 12
D) 14
✔️ Answer: B (12)
17 − 5 = 12.
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🔵 30. Find the value of √(324).
A) 16
B) 17
C) 18
D) 20
✔️ Answer: C (18)
18 × 18 = 324.
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🔵 31. If CP = ₹200 and Profit% = 35%, SP = ?
A) 235
B) 260
C) 270
D) 280
✔️ Answer: B (270)
SP = CP × (100+P%)/100 = 200×135/100 = 270.
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🔵 32. 2/3 of 45 = ?
A) 25
B) 27
C) 30
D) 35
✔️ Answer: B (30)
45 ÷ 3 = 15
15 × 2 = 30.
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🔵 33. Find the median of 5, 7, 10, 12, 15
A) 7
B) 10
C) 12
D) 15
✔️ Answer: B (10)
Middle number = 10.
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🔵 34. If 40% of a number is 32, find number.
A) 70
B) 75
C) 80
D) 90
✔️ Answer: C (80)
0.4x = 32 → x = 32 ÷ 0.4 = 80.
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🔵 35. Simplify: 7/8 ÷ 14/16
A) 1
B) 2
C) 3
D) 4
✔️ Answer: A (1)
7/8 × 16/14
= (7×16)/(8×14)
= 1.
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🔵 36. 18% of 250 = ?
A) 35
B) 40
C) 45
D) 50
✔️ Answer: C (45)
0.18 × 250 = 45.
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🔵 37. Convert 0.45 to fraction.
A) 9/20
B) 9/15
C) 9/10
D) 9/25
✔️ Answer: A (9/20)
0.45 = 45/100 = 9/20.
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🔵 38. Mode of: 2, 3, 5, 5, 6
A) 2
B) 5
C) 6
D) None
✔️ Answer: B (5)
5 appears twice.
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🔵 39. Solve: 12x = 96
A) 5
B) 6
C) 7
D) 8
✔️ Answer: D (8)
96 ÷ 12 = 8.
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🔵 40. Surds: Simplify √50
A) 2√5
B) 3√5
C) 4√5
D) 5√5
✔️ Answer: A (5√2)
√50 = √(25×2) = 5√2.
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Here are the next 60 MCQs WITH FULL EXPLANATION, covering Q41 to Q100.
(These are Class VI–X level and perfect for all competitive exams.)
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⭐ MCQs 41–60 WITH EXPLANATION
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41. What is 12.5% of 320?
A) 35
B) 36
C) 40
D) 45
✔️ Answer: C (40)
Explanation:
12.5% = 1/8
→ 320 ÷ 8 = 40
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42. Solve: (64 ÷ 4) + (18 ÷ 3)
A) 16
B) 20
C) 22
D) 24
✔️ Answer: C (22)
Explanation:
64 ÷ 4 = 16
18 ÷ 3 = 6
16 + 6 = 22
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43. Area of triangle = ½ × 12 × 10
A) 50
B) 55
C) 60
D) 70
✔️ Answer: C (60)
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44. Square root of 625 = ?
A) 20
B) 22
C) 24
D) 25
✔️ Answer: D (25)
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45. Ratio of 250 g to 2 kg
A) 1 : 8
B) 1 : 6
C) 1 : 10
D) 1 : 9
✔️ Answer: A (1 : 8)
Explanation:
2 kg = 2000 g
Ratio = 250 : 2000 = 1 : 8
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46. If SP = 540 and Profit = 20%, then CP = ?
A) 430
B) 450
C) 470
D) 500
✔️ Answer: B (450)
SP = 120% of CP
CP = 540 ×100/120 = 450
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47. Find value: 3² + 4²
A) 23
B) 24
C) 25
D) 26
✔️ Answer: C (25)
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48. Perimeter of rectangle (Length=14, Breadth=10)
A) 38
B) 44
C) 48
D) 52
✔️ Answer: C (48)
2(l + b) = 2(14 + 10) = 48
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49. 72% of 250 = ?
A) 150
B) 160
C) 170
D) 180
✔️ Answer: D (180)
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50. If x – 7 = 21, find x
A) 27
B) 28
C) 29
D) 31
✔️ Answer: B (28)
21 + 7 = 28
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51. LCM of 15, 20 and 30 = ?
A) 60
B) 120
C) 150
D) 180
✔️ Answer: B (120)
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52. HCF of 36 and 84 = ?
A) 6
B) 12
C) 18
D) 21
✔️ Answer: B (12)
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53. Convert 0.06 to fraction
A) 3/50
B) 6/100
C) 3/25
D) 1/20
✔️ Answer: C (3/50)
0.06 = 6/100 = 3/50
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54. If 2x = 5x – 9 → x = ?
A) 2
B) 3
C) 4
D) 5
✔️ Answer: B (3)
5x – 2x = 9 → x = 3
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55. A shopkeeper gives 10% discount on ₹400. SP = ?
A) 350
B) 360
C) 370
D) 380
✔️ Answer: B (360)
10% of 400 = 40
400 – 40 = 360
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56. If speed = 50 km/h, time = 3 hours, distance = ?
A) 100
B) 120
C) 140
D) 150
✔️ Answer: D (150)
Distance = speed × time = 50×3
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57. Value of (0.2 × 0.2)
A) 0.2
B) 0.04
C) 0.02
D) 4
✔️ Answer: B (0.04)
0.2 × 0.2 = 0.04
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58. If 3/4 of a number = 45, number = ?
A) 50
B) 55
C) 60
D) 65
✔️ Answer: C (60)
(3/4)x = 45 → x = 45×4/3 = 60
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59. What is 13² – 12²?
A) 25
B) 30
C) 37
D) 49
✔️ Answer: A (25)
Use identity a² − b² = (a−b)(a+b)
= 1×25 = 25
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60. Solve: 18% of 800
A) 120
B) 130
C) 140
D) 144
✔️ Answer: D (144)
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⭐ MCQs 61–80 WITH EXPLANATION
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61. A number is increased from 60 to 75. Percentage increase?
A) 20%
B) 22%
C) 25%
D) 30%
✔️ Answer: C (25%)
Increase = 15
15/60 ×100 = 25%
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62. A man travels 90 km at 45 km/h. Time taken?
A) 1 hr
B) 1.5 hr
C) 2 hr
D) 2.5 hr
✔️ Answer: C (2 hr)
90/45 = 2
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63. If x = 7, 3x – 5 = ?
A) 15
B) 16
C) 17
D) 18
✔️ Answer: B (16)
3×7 = 21 − 5 = 16
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64. Find value: 11 × 12
A) 132
B) 124
C) 136
D) 144
✔️ Answer: A (132)
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65. 225 ÷ 15 = ?
A) 10
B) 12
C) 15
D) 18
✔️ Answer: B (15)
225/15 = 15
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66. If CP = 300 and SP = 360, profit = ?
A) 40
B) 50
C) 60
D) 70
✔️ Answer: C (60)
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67. Profit percentage in Q66?
A) 15%
B) 18%
C) 20%
D) 25%
✔️ Answer: D (20%)
Profit% = 60/300×100 = 20%
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68. Convert 3 hours to minutes.
A) 120
B) 150
C) 180
D) 200
✔️ Answer: C (180)
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69. Median of 10, 20, 30, 40, 50
A) 20
B) 30
C) 40
D) 50
✔️ Answer: B (30)
Middle term = 30
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70. Mode of 4, 4, 5, 7, 4, 9
A) 4
B) 7
C) 9
D) None
✔️ Answer: A (4)
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71. Find (2/7) of 210
A) 40
B) 50
C) 60
D) 70
✔️ Answer: C (60)
210 ÷ 7 = 30 × 2 = 60
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72. 33% of 600 = ?
A) 180
B) 190
C) 200
D) 210
✔️ Answer: A (198)
33/100 × 600 = 198
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73. Simple interest on ₹900 at 10% for 3 years
A) 240
B) 260
C) 270
D) 280
✔️ Answer: C (270)
SI = 900×10×3/100 = 270
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74. What is 18²?
A) 324
B) 344
C) 360
D) 380
✔️ Answer: A (324)
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75. 1/0.25 = ?
A) 2
B) 3
C) 4
D) 5
✔️ Answer: C (4)
0.25 = 1/4 → reciprocal = 4
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76. A train travels 180 km in 3 hours. Speed = ?
A) 40
B) 50
C) 60
D) 70
✔️ Answer: C (60)
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77. If x × 9 = 81, x = ?
A) 9
B) 10
C) 11
D) 12
✔️ Answer: A (9)
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78. Simplify: 14 × 1.5
A) 19
B) 20
C) 21
D) 22
✔️ Answer: C (21)
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79. Convert 250 cm into meters.
A) 2
B) 2.5
C) 2.6
D) 3
✔️ Answer: B (2.5)
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80. A shopkeeper sells item for ₹850 at 15% gain. Find CP.
A) 700
B) 720
C) 740
D) 750
✔️ Answer: D (740)
SP = 115%
CP = 850×100/115 = 739 → approx 740
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⭐ MCQs 81–100 WITH EXPLANATION
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81. Find 40% of 900
A) 300
B) 320
C) 350
D) 360
✔️ Answer: D (360)
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82. Ratio of 45 : 60
A) 2 : 3
B) 3 : 4
C) 4 : 5
D) 1 : 3
✔️ Answer: A (3 : 4)
Divide by 15.
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83. Solve: 72 ÷ 9 × 6
A) 42
B) 48
C) 54
D) 36
✔️ Answer: C (48)
72 ÷ 9 = 8
8 × 6 = 48
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84. If perimeter of square = 40 cm, side = ?
A) 8
B) 10
C) 12
D) 16
✔️ Answer: A (10)
Perimeter = 4a → a = 40/4 = 10
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85. If CP = ₹500 and SP = ₹450. Loss% = ?
A) 8%
B) 9%
C) 10%
D) 12%
✔️ Answer: C (10%)
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86. Find the value of 2.5 × 2.4
A) 6
B) 5
C) 5.5
D) 6.1
✔️ Answer: A (6)
25×24 = 600 → 6.00
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87. Median of 3, 5, 8, 12, 15, 18, 20
A) 8
B) 12
C) 15
D) 18
✔️ Answer: B (12)
Middle term = 12
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88. Solve: 3/7 + 2/3
A) 15/21
B) 23/21
C) 29/21
D) 27/21
✔️ Answer: C (29/21)
LCM = 21
9/21 + 14/21 = 23/21?
Correct: 9/21 + 14/21 = 23/21
👉 Correct Answer: B (23/21)
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89. If 18 is 75% of number, number = ?
A) 20
B) 22
C) 24
D) 25
✔️ Answer: C (24)
18 = 75%
18 = 3/4 x
x = 24
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90. Cube root of 216 = ?
A) 4
B) 5
C) 6
D) 7
✔️ Answer: C (6)
6³ = 216
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91. Find area of square, side = 7 cm
A) 49
B) 56
C) 42
D) 48
✔️ Answer: A (49)
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92. Find 20% of 250
A) 40
B) 45
C) 50
D) 55
✔️ Answer: C (50)
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93. If x/3 = 15, x = ?
A) 35
B) 40
C) 45
D) 50
✔️ Answer: C (45)
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94. Simplify: 9 × 9 + 9
A) 81
B) 90
C) 99
D) 100
✔️ Answer: C (90)
9×9 = 81
81 + 9 = 90
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95. Convert 3.5 hours into minutes
A) 200
B) 210
C) 220
D) 240
✔️ Answer: B (210)
3.5×60 = 210
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96. CP = ₹240, Loss = 5%. SP = ?
A) 220
B) 225
C) 228
D) 230
✔️ Answer: C (228)
SP = 240×95/100 = 228
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97. Find HCF of 32 and 56
A) 4
B) 6
C) 8
D) 16
✔️ Answer: C (8)
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98. If speed = 40 km/h and distance = 220 km, time = ?
A) 5
B) 5.5
C) 6
D) 7
✔️ Answer: B (5.5)
220 ÷ 40 = 5.5 hr
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99. Perimeter of rectangle (12 cm × 8 cm)
A) 34
B) 36
C) 40
D) 44
✔️ Answer: D (40)
2(12+8)=40
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100. 0.1 × 0.1 = ?
A) 0.001
B) 0.01
C) 0.1
D) 1
✔️ Answer: B (0.01)
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