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Quantitative reasoning

Written by Hassan Raza (Mathematics)

28 COMSATS Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. A car covers 60 km in 1.5 hours. Its average speed is:

    • 1 30 km/h
    • 2 45 km/h
    • 3 90 km/h
    • 4 40 km/h
    Show answer

    Correct answer: 40 km/h

    Speed = distance ÷ time = 60 ÷ 1.5 = 40 km/h.

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  2. 15% of 200 is:

    • 1 20
    • 2 15
    • 3 30
    • 4 35
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    Correct answer: 30

    15 ÷ 100 × 200 = 30.

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  3. If 3x − 4 = 11, then x is:

    • 1 15
    • 2 3
    • 3 5
    • 4 7
    Show answer

    Correct answer: 5

    3x = 15, so x = 5.

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  4. The area of a rectangle 12 cm long and 7 cm wide is:

    • 1 19 cm²
    • 2 38 cm²
    • 3 84 cm²
    • 4 96 cm²
    Show answer

    Correct answer: 84 cm²

    Area = 12 × 7 = 84 cm².

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  5. The fraction 2/5 as a percentage is:

    • 1 52%
    • 2 40%
    • 3 25%
    • 4 20%
    Show answer

    Correct answer: 40%

    2 ÷ 5 = 0.4, which is 40%.

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  6. Twelve pens cost Rs 180. What do 7 pens cost?

    • 1 Rs 105
    • 2 Rs 120
    • 3 Rs 85
    • 4 Rs 90
    Show answer

    Correct answer: Rs 105

    One pen costs 15, so 7 pens cost 105.

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  7. The square root of 196 is:

    • 1 14
    • 2 13
    • 3 12
    • 4 16
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    Correct answer: 14

    14 × 14 = 196.

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  8. A square has an area of 81 m². Its perimeter is:

    • 1 36 m
    • 2 81 m
    • 3 27 m
    • 4 18 m
    Show answer

    Correct answer: 36 m

    The side is 9 m, so the perimeter is 4 × 9 = 36 m.

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  9. A price is raised by 10% and then lowered by 10%. Starting at Rs 2000, the final price is:

    • 1 Rs 2000
    • 2 Rs 1980
    • 3 Rs 1900
    • 4 Rs 2020
    Show answer

    Correct answer: Rs 1980

    2000 × 1.1 = 2200, and 2200 × 0.9 = 1980.

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  10. The average of 15, 18, 21 and 26 is:

    • 1 20
    • 2 21
    • 3 19
    • 4 22
    Show answer

    Correct answer: 20

    The sum is 80, and 80 ÷ 4 = 20.

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  11. 35% of 600 is:

    • 1 210
    • 2 240
    • 3 175
    • 4 200
    Show answer

    Correct answer: 210

    35 ÷ 100 × 600 = 210.

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  12. The simple interest on Rs 8000 at 5% a year for 2 years is:

    • 1 Rs 1000
    • 2 Rs 400
    • 3 Rs 800
    • 4 Rs 600
    Show answer

    Correct answer: Rs 800

    Interest = 8000 × 5 × 2 ÷ 100 = 800.

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  13. A car covers 120 km in 2 hours. Its average speed is:

    • 1 50 km/h
    • 2 60 km/h
    • 3 80 km/h
    • 4 240 km/h
    Show answer

    Correct answer: 60 km/h

    Speed = 120 ÷ 2 = 60.

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  14. The value of 3/8 + 1/4 is:

    • 1 5/8
    • 2 4/12
    • 3 3/4
    • 4 1/2
    Show answer

    Correct answer: 5/8

    3/8 + 2/8 = 5/8.

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  15. An item costing Rs 500 is sold for Rs 575. The profit percentage is:

    • 1 15%
    • 2 75%
    • 3 13%
    • 4 12%
    Show answer

    Correct answer: 15%

    The profit is 75 on a cost of 500.

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  16. Two numbers are in the ratio 5 : 7 and their sum is 72. The smaller number is:

    • 1 25
    • 2 35
    • 3 28
    • 4 30
    Show answer

    Correct answer: 30

    One part is 6, so the smaller number is 5 × 6 = 30.

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  17. If 5x − 3 = 22, then x is:

    • 1 4
    • 2 25
    • 3 19
    • 4 5
    Show answer

    Correct answer: 5

    5x = 25, so x = 5.

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  18. If 3(x − 2) = 12, then x is:

    • 1 4
    • 2 10
    • 3 6
    • 4 2
    Show answer

    Correct answer: 6

    x − 2 = 4, so x = 6.

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  19. The perimeter of a rectangle 15 cm long and 8 cm wide is:

    • 1 120 cm
    • 2 46 cm
    • 3 23 cm
    • 4 38 cm
    Show answer

    Correct answer: 46 cm

    The perimeter is 2 × (15 + 8) = 46.

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  20. The area of a circle of radius 7 cm (taking π = 22/7) is:

    • 1 49 cm²
    • 2 44 cm²
    • 3 308 cm²
    • 4 154 cm²
    Show answer

    Correct answer: 154 cm²

    Area = πr² = 22/7 × 49 = 154.

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  21. A bill of Rs 2500 gets a 12% discount. The amount to pay is:

    • 1 Rs 2200
    • 2 Rs 2000
    • 3 Rs 2300
    • 4 Rs 2380
    Show answer

    Correct answer: Rs 2200

    The discount is 300, so the price is 2200.

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  22. The least common multiple of 8 and 12 is:

    • 1 24
    • 2 4
    • 3 96
    • 4 48
    Show answer

    Correct answer: 24

    8 = 2³ and 12 = 2² × 3, so the LCM is 2³ × 3 = 24.

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  23. 45% of 20 is:

    • 1 90
    • 2 9
    • 3 25
    • 4 4.5
    Show answer

    Correct answer: 9

    45 ÷ 100 × 20 = 9.

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  24. A shirt costs Rs 2400. After a 25% discount, the price is:

    • 1 Rs 1800
    • 2 Rs 1900
    • 3 Rs 600
    • 4 Rs 2000
    Show answer

    Correct answer: Rs 1800

    The discount is 600, so the price is 1800.

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  25. If 8 pens cost Rs 60, what do 12 pens cost at the same rate?

    • 1 Rs 80
    • 2 Rs 90
    • 3 Rs 72
    • 4 Rs 96
    Show answer

    Correct answer: Rs 90

    One pen costs Rs 7.5, so 12 pens cost Rs 90.

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  26. A rectangular box measures 3 cm by 4 cm by 5 cm. Its volume is:

    • 1 60 cm³
    • 2 120 cm³
    • 3 47 cm³
    • 4 12 cm³
    Show answer

    Correct answer: 60 cm³

    Volume = 3 × 4 × 5 = 60.

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  27. The value of 1/2 + 1/3 is:

    • 1 5/6
    • 2 2/5
    • 3 3/5
    • 4 1/6
    Show answer

    Correct answer: 5/6

    The sum is 3/6 + 2/6 = 5/6.

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  28. A train covers 360 km at 45 km/h. How many hours does it take?

    • 1 9
    • 2 6
    • 3 7
    • 4 8
    Show answer

    Correct answer: 8

    Time = distance ÷ speed = 8.

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