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Quantitative reasoning

Written by Hassan Raza (Mathematics)

COMSATS · Mathematics · 28 questions

Name: ____________________ Date: ____________

A car covers 60 km in 1.5 hours. Its average speed is:
- A 30 km/h
- B 45 km/h
- C 90 km/h
- D 40 km/h
15% of 200 is:
- A 20
- B 15
- C 30
- D 35
If 3x − 4 = 11, then x is:
- A 15
- B 3
- C 5
- D 7
The area of a rectangle 12 cm long and 7 cm wide is:
- A 19 cm²
- B 38 cm²
- C 84 cm²
- D 96 cm²
The fraction 2/5 as a percentage is:
- A 52%
- B 40%
- C 25%
- D 20%
Twelve pens cost Rs 180. What do 7 pens cost?
- A Rs 105
- B Rs 120
- C Rs 85
- D Rs 90
The square root of 196 is:
- A 14
- B 13
- C 12
- D 16
A square has an area of 81 m². Its perimeter is:
- A 36 m
- B 81 m
- C 27 m
- D 18 m
A price is raised by 10% and then lowered by 10%. Starting at Rs 2000, the final price is:
- A Rs 2000
- B Rs 1980
- C Rs 1900
- D Rs 2020
The average of 15, 18, 21 and 26 is:
- A 20
- B 21
- C 19
- D 22
35% of 600 is:
- A 210
- B 240
- C 175
- D 200
The simple interest on Rs 8000 at 5% a year for 2 years is:
- A Rs 1000
- B Rs 400
- C Rs 800
- D Rs 600
A car covers 120 km in 2 hours. Its average speed is:
- A 50 km/h
- B 60 km/h
- C 80 km/h
- D 240 km/h
The value of 3/8 + 1/4 is:
- A 5/8
- B 4/12
- C 3/4
- D 1/2
An item costing Rs 500 is sold for Rs 575. The profit percentage is:
- A 15%
- B 75%
- C 13%
- D 12%
Two numbers are in the ratio 5 : 7 and their sum is 72. The smaller number is:
- A 25
- B 35
- C 28
- D 30
If 5x − 3 = 22, then x is:
- A 4
- B 25
- C 19
- D 5
If 3(x − 2) = 12, then x is:
- A 4
- B 10
- C 6
- D 2
The perimeter of a rectangle 15 cm long and 8 cm wide is:
- A 120 cm
- B 46 cm
- C 23 cm
- D 38 cm
The area of a circle of radius 7 cm (taking π = 22/7) is:
- A 49 cm²
- B 44 cm²
- C 308 cm²
- D 154 cm²
A bill of Rs 2500 gets a 12% discount. The amount to pay is:
- A Rs 2200
- B Rs 2000
- C Rs 2300
- D Rs 2380
The least common multiple of 8 and 12 is:
- A 24
- B 4
- C 96
- D 48
45% of 20 is:
- A 90
- B 9
- C 25
- D 4.5
A shirt costs Rs 2400. After a 25% discount, the price is:
- A Rs 1800
- B Rs 1900
- C Rs 600
- D Rs 2000
If 8 pens cost Rs 60, what do 12 pens cost at the same rate?
- A Rs 80
- B Rs 90
- C Rs 72
- D Rs 96
A rectangular box measures 3 cm by 4 cm by 5 cm. Its volume is:
- A 60 cm³
- B 120 cm³
- C 47 cm³
- D 12 cm³
The value of 1/2 + 1/3 is:
- A 5/6
- B 2/5
- C 3/5
- D 1/6
A train covers 360 km at 45 km/h. How many hours does it take?
- A 9
- B 6
- C 7
- D 8

Answer key

1. D, 2. C, 3. C, 4. C, 5. B, 6. A, 7. A, 8. A, 9. B, 10. A, 11. A, 12. C, 13. B, 14. A, 15. A, 16. D, 17. D, 18. C, 19. B, 20. D, 21. A, 22. A, 23. B, 24. A, 25. B, 26. A, 27. A, 28. D

Speed = distance ÷ time = 60 ÷ 1.5 = 40 km/h.
15 ÷ 100 × 200 = 30.
3x = 15, so x = 5.
Area = 12 × 7 = 84 cm².
2 ÷ 5 = 0.4, which is 40%.
One pen costs 15, so 7 pens cost 105.
14 × 14 = 196.
The side is 9 m, so the perimeter is 4 × 9 = 36 m.
2000 × 1.1 = 2200, and 2200 × 0.9 = 1980.
The sum is 80, and 80 ÷ 4 = 20.
35 ÷ 100 × 600 = 210.
Interest = 8000 × 5 × 2 ÷ 100 = 800.
Speed = 120 ÷ 2 = 60.
3/8 + 2/8 = 5/8.
The profit is 75 on a cost of 500.
One part is 6, so the smaller number is 5 × 6 = 30.
5x = 25, so x = 5.
x − 2 = 4, so x = 6.
The perimeter is 2 × (15 + 8) = 46.
Area = πr² = 22/7 × 49 = 154.
The discount is 300, so the price is 2200.
8 = 2³ and 12 = 2² × 3, so the LCM is 2³ × 3 = 24.
45 ÷ 100 × 20 = 9.
The discount is 600, so the price is 1800.
One pen costs Rs 7.5, so 12 pens cost Rs 90.
Volume = 3 × 4 × 5 = 60.
The sum is 3/6 + 2/6 = 5/6.
Time = distance ÷ speed = 8.