ISSB - Pak Army Officer Selection Mathematics: Percentages MCQs

ISSB - Pak Army Officer Selection Mathematics: Percentages MCQs — sample questions

1. Question 1

   Q1. If 30% of a number is 45, what is the number?

   • A) 120
   • B) 135
   • C) 150
   • D) 165

   Answer: 150

   Explanation: 30% of x = 45 → x = 45 ÷ 0.30 = 150. Shortcut: 10% = 15, so 30% = 45 confirms x = 150.

2. Question 2

   Q2. A shop marks an item up 25% then offers 20% discount on marked price. Net result?

   • A) 5% profit
   • B) 0% (no profit, no loss)
   • C) 5% loss
   • D) 10% profit

   Answer: 0% (no profit, no loss)

   Explanation: Cost 100 → marked 125 → SP 125×0.80 = 100. Classic trap that looks like 5% profit but is break-even.

3. Question 3

   Q3. 40 candidates, 60% pass written, 25% of passers shortlisted. How many shortlisted?

   • A) 4
   • B) 6
   • C) 8
   • D) 10

   Answer: 6

   Explanation: Passed = 24. Shortlisted = 25% of 24 = 6. Work each step carefully; ISSB math rewards accuracy under time pressure.

4. Question 4

   Q4. A number increased by 20% becomes 240. Original number?

   • A) 192
   • B) 200
   • C) 220
   • D) 288

   Answer: 200

   Explanation: 1.2x = 240 → x = 200. Common trap: subtracting 20% of 240 instead of dividing.

5. Question 5

   Q5. If 40% of a number is 64, the number is:

   • A) 160
   • B) 256
   • C) 96
   • D) 128

   Answer: 160

   Explanation: 0.4x = 64 → x = 160. Work each step carefully; ISSB math rewards accuracy under time pressure.

6. Question 6

   Q6. A man buys a pen for Rs 80 and sells at 25% profit. Selling price?

   • A) Rs 90
   • B) Rs 100
   • C) Rs 105
   • D) Rs 120

   Answer: Rs 100

   Explanation: 25% of 80 is 20. Add to cost price: 80 + 20 = 100.

7. Question 7

   Q7. 20% of a number is 50. The number is:

   • A) 200
   • B) 250
   • C) 300
   • D) 400

   Answer: 250

   Explanation: 0.2n = 50, so n = 250. Students sometimes multiply 50 by 0.2 instead of dividing.

8. Question 8

   Q8. A shirt priced Rs 2000 has 15% discount. Sale price?

   • A) Rs 1700
   • B) Rs 1750
   • C) Rs 1850
   • D) Rs 300

   Answer: Rs 1700

   Explanation: 15% of 2000 = 300. Subtract: 2000 - 300 = 1700. Work each step carefully; ISSB math rewards accuracy under time pressure.

9. Question 9

   Q9. Profit percent when CP = Rs 500 and SP = Rs 600?

   • A) 10%
   • B) 16.67%
   • C) 20%
   • D) 25%

   Answer: 20%

   Explanation: Profit = 100. Percent on cost = 100/500 x 100 = 20%.

10. Question 10

    Q10. Cost price Rs 400, selling price Rs 500. Profit percent?

    • A) 20%
    • B) 25%
    • C) 30%
    • D) 40%

    Answer: 25%

    Explanation: Profit = 100. Percent on cost = 100/400 x 100 = 25%.

11. Question 11

    Q11. A cadet scores 72 marks out of 90 in an ISSB practice paper. What is his percentage?

    • A) 75%
    • B) 80%
    • C) 82%
    • D) 85%

    Answer: 80%

    Explanation: Percentage equals 72 divided by 90, times 100. That gives 0.8 times 100, which is 80%.

12. Question 12

    Q12. A number is increased by 20% and then decreased by 20%. The final result compared with the original is:

    • A) Same as original
    • B) 4% less
    • C) 4% more
    • D) 20% less

    Answer: 4% less

    Explanation: If the number is 100, it becomes 120, then 96. The net change is a 4% decrease from the original.

13. Question 13

    Q13. If 40% of a number is 84, what is 25% of the same number?

    • A) 42
    • B) 52.5
    • C) 63
    • D) 105

    Answer: 52.5

    Explanation: The full number is 84 divided by 0.4, which is 210. Twenty-five percent of 210 is 52.5.

14. Question 14

    Q14. What is 15% of 240?

    • A) 24
    • B) 36
    • C) 48
    • D) 30

    Answer: 36

    Explanation: Fifteen percent of 240 is 0.15 times 240, which equals 36. Work each step carefully; ISSB math rewards accuracy under time pressure.

15. Question 15

    Q15. A sum of Rs 5000 earns simple interest of Rs 600 in 2 years. What is the rate per year?

    • A) 4%
    • B) 5%
    • C) 6%
    • D) 8%

    Answer: 6%

    Explanation: Simple interest formula gives rate as interest times 100, divided by principal times time. That is 60000 divided by 10000, which is 6%.

16. Question 16

    Q16. What is 20% of 350?

    • A) 50
    • B) 60
    • C) 70
    • D) 80

    Answer: 70

    Explanation: Twenty percent of 350 is 0.20 times 350, which equals 70. Work each step carefully; ISSB math rewards accuracy under time pressure.

17. Question 17

    Q17. Simple interest on Rs 2000 at 5% for 2 years is:

    • A) Rs 100
    • B) Rs 200
    • C) Rs 250
    • D) Rs 300

    Answer: Rs 200

    Explanation: SI equals P times R times T over 100. That is 2000 times 5 times 2 over 100, which is 200.

18. Question 18

    Q18. What is 12.5% of 80?

    • A) 8
    • B) 10
    • C) 12
    • D) 15

    Answer: 10

    Explanation: 12.5 percent is one eighth. One eighth of 80 is 10. Work each step carefully; ISSB math rewards accuracy under time pressure.

19. Question 19

    Q19. Compound interest differs from simple interest because it is calculated on:

    • A) Principal only always
    • B) Principal plus accumulated interest
    • C) Only time
    • D) Only rate

    Answer: Principal plus accumulated interest

    Explanation: Compound interest is charged on principal plus interest already earned. Work each step carefully; ISSB math rewards accuracy under time pressure.

20. Question 20

    Q20. What is 25% of 200?

    • A) 40
    • B) 50
    • C) 60
    • D) 25

    Answer: 50

    Explanation: Twenty-five percent of 200 is one quarter of 200, which equals 50.