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Arithmetic and reasoning

Written by Bilal Siddiqui (Logical Reasoning)

22 Government jobs Mental ability questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. What is 20 percent of 350?

    • 1 70
    • 2 35
    • 3 80
    • 4 60
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    Correct answer: 70

    20% of 350 = 0.2 × 350 = 70.

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  2. If the ratio of boys to girls in a class is 3 : 2 and there are 30 students, how many are girls?

    • 1 10
    • 2 15
    • 3 12
    • 4 18
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    Correct answer: 12

    The parts add to 5. Girls = 2/5 × 30 = 12.

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  3. A train travels 240 km in 4 hours. Its speed is:

    • 1 50 km/h
    • 2 80 km/h
    • 3 40 km/h
    • 4 60 km/h
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    Correct answer: 60 km/h

    Speed = distance ÷ time = 240 ÷ 4 = 60.

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  4. The average of 10, 20, 30 and 40 is:

    • 1 28
    • 2 25
    • 3 20
    • 4 30
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    Correct answer: 25

    The sum is 100, and 100 ÷ 4 = 25.

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  5. A man buys an article for Rs. 500 and sells it for Rs. 600. His profit percent is:

    • 1 25%
    • 2 20%
    • 3 16.7%
    • 4 10%
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    Correct answer: 20%

    Profit is 100 on a cost of 500, so 100/500 × 100 = 20%.

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  6. A can finish a job in 10 days and B in 15 days. Working together they finish it in:

    • 1 8 days
    • 2 12 days
    • 3 5 days
    • 4 6 days
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    Correct answer: 6 days

    The daily work is 1/10 + 1/15 = 1/6, so they take 6 days.

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  7. Ali is taller than Bilal, and Bilal is taller than Chand. Who is the shortest?

    • 1 Bilal
    • 2 Cannot say
    • 3 Ali
    • 4 Chand
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    Correct answer: Chand

    Ali > Bilal > Chand, so Chand is the shortest.

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  8. A person walks 5 km north, then 5 km east. How far is he from the start?

    • 1 5 km
    • 2 About 8 km
    • 3 10 km
    • 4 About 7.07 km
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    Correct answer: About 7.07 km

    The distance is √(5² + 5²) = √50, which is about 7.07 km.

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  9. If today is Wednesday, what day will it be after 10 days?

    • 1 Monday
    • 2 Sunday
    • 3 Friday
    • 4 Saturday
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    Correct answer: Saturday

    10 days is 1 week and 3 days, and 3 days after Wednesday is Saturday.

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  10. Simple interest on Rs. 2,000 at 10 percent a year for 2 years is:

    • 1 Rs. 300
    • 2 Rs. 420
    • 3 Rs. 200
    • 4 Rs. 400
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    Correct answer: Rs. 400

    Simple interest = 2,000 × 10 × 2 ÷ 100 = 400.

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  11. A shopkeeper sells a pen at a loss of 10 percent for Rs. 90. Its cost price is:

    • 1 Rs. 99
    • 2 Rs. 80
    • 3 Rs. 110
    • 4 Rs. 100
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    Correct answer: Rs. 100

    Selling price is 90 percent of cost: cost = 90 / 0.9 = 100.

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  12. The square root of 1,296 is:

    • 1 34
    • 2 46
    • 3 26
    • 4 36
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    Correct answer: 36

    36 x 36 = 1,296.

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  13. If 6 workers can build a wall in 12 days, how many days will 9 workers take?

    • 1 18
    • 2 6
    • 3 10
    • 4 8
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    Correct answer: 8

    Work = 6 x 12 = 72 man days. 72 / 9 = 8 days.

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  14. What is 15 percent of 240?

    • 1 36
    • 2 40
    • 3 24
    • 4 30
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    Correct answer: 36

    0.15 x 240 = 36.

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  15. The average of five numbers is 20. If one number is removed, the average of the other four becomes 18. The removed number is:

    • 1 18
    • 2 20
    • 3 24
    • 4 28
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    Correct answer: 28

    Total was 100 and is now 72, so the removed number is 28.

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  16. A car travels 150 km in 2.5 hours. Its speed is:

    • 1 60 km/h
    • 2 75 km/h
    • 3 50 km/h
    • 4 65 km/h
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    Correct answer: 60 km/h

    150 / 2.5 = 60.

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  17. Two numbers are in the ratio 3 : 5 and their sum is 64. The larger number is:

    • 1 30
    • 2 32
    • 3 24
    • 4 40
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    Correct answer: 40

    The parts total 8, so one part is 8 and the larger number is 5 x 8 = 40.

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  18. If the price of an item rises from Rs. 200 to Rs. 250, the percentage increase is:

    • 1 50%
    • 2 25%
    • 3 20%
    • 4 10%
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    Correct answer: 25%

    The rise is 50 on 200, which is 25 percent.

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  19. The LCM of 12 and 18 is:

    • 1 36
    • 2 72
    • 3 6
    • 4 216
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    Correct answer: 36

    12 = 2² x 3 and 18 = 2 x 3², so LCM = 2² x 3² = 36.

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  20. A clock shows 3:15. The angle between the hands is:

    • 1 7.5°
    • 2 0°
    • 3 15°
    • 4 22.5°
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    Correct answer: 7.5°

    The minute hand is at 90° and the hour hand at 97.5°, so the angle is 7.5°.

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  21. How many days are there in 4 weeks and 3 days?

    • 1 31
    • 2 28
    • 3 35
    • 4 30
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    Correct answer: 31

    4 x 7 + 3 = 31.

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  22. A sum of Rs. 5,000 amounts to Rs. 5,600 in 2 years at simple interest. The rate per year is:

    • 1 5%
    • 2 12%
    • 3 10%
    • 4 6%
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    Correct answer: 6%

    Interest is 600 in 2 years, so 300 a year, which is 6 percent of 5,000.

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