ISSB - PAF Officer Selection Mathematics: Ratios MCQs

ISSB - PAF Officer Selection Mathematics: Ratios MCQs — sample questions

1. Question 1

   Q1. The ratio of two numbers is 3:5. If their sum is 64, the larger number is:

   • A) 24
   • B) 35
   • C) 40
   • D) 45

   Answer: 40

   Explanation: Parts 3 + 5 = 8. One part = 64/8 = 8. Larger = 5 × 8 = 40. Always total the ratio parts first.

2. Question 2

   Q2. Ratio of officers to cadets is 3:7. If 28 cadets, how many officers?

   • A) 9
   • B) 12
   • C) 14
   • D) 21

   Answer: 12

   Explanation: 7 parts = 28 → 1 part = 4. Officers = 3×4 = 12.

3. Question 3

   Q3. Divide Rs 4500 among A,B,C in ratio 2:3:5. C receives?

   • A) Rs 900
   • B) Rs 1350
   • C) Rs 2250
   • D) Rs 2700

   Answer: Rs 2250

   Explanation: 10 parts total. C = 5/10 × 4500 = 2250. Work each step carefully; ISSB math rewards accuracy under time pressure.

4. Question 4

   Q4. Ratio 2:5. If smaller part is 14, larger part is:

   • A) 28
   • B) 35
   • C) 40
   • D) 70

   Answer: 35

   Explanation: 2 parts = 14, so 1 part = 7. Five parts = 35.

5. Question 5

   Q5. In an ISSB academic screening group, the ratio of Army to Navy candidates is 5:3. If there are 40 Army candidates, how many Navy candidates are there?

   • A) 20
   • B) 24
   • C) 32
   • D) 15

   Answer: 24

   Explanation: The ratio 5:3 means Navy candidates are three fifths of the Army count. Three fifths of 40 equals 24.

6. Question 6

   Q6. Two sections of a batch are in the ratio 2:3. What percentage of the whole is the smaller section?

   • A) 50%
   • B) 60%
   • C) 40%
   • D) 33.3%

   Answer: 40%

   Explanation: The smaller section has 2 parts out of 5 total parts. Two divided by 5 equals 0.4, which is 40%.

7. Question 7

   Q7. The ages of a retired officer and his son are in the ratio 7:2. If their combined age is 54 years, how old is the son?

   • A) 12 years
   • B) 14 years
   • C) 18 years
   • D) 42 years

   Answer: 12 years

   Explanation: The ratio 7:2 has 9 parts in total. Each part is 54 divided by 9, which is 6, so the son is 2 times 6, or 12 years.

8. Question 8

   Q8. The ratio of officers to cadets in a camp is 2:5. If there are 40 officers, how many cadets are there?

   • A) 80
   • B) 100
   • C) 120
   • D) 200

   Answer: 100

   Explanation: Officers are 2 parts and equal 40, so one part is 20. Cadets are 5 parts, so 5 times 20 equals 100.

9. Question 9

   Q9. Divide Rs 840 between A and B in the ratio 3:4. How much does B get?

   • A) Rs 300
   • B) Rs 360
   • C) Rs 480
   • D) Rs 540

   Answer: Rs 480

   Explanation: Total parts are 7. One part is 840 divided by 7, which is 120. B gets 4 parts, so 480.

10. Question 10

    Q10. If A:B = 3:4 and B:C = 2:5, what is A:C?

    • A) 3:10
    • B) 3:5
    • C) 6:20
    • D) 3:8

    Answer: 3:10

    Explanation: Make B common: A:B = 3:4 and B:C = 4:10. So A:C = 3:10.

11. Question 11

    Q11. Divide Rs 900 in the ratio 2:3:4. What is the largest share?

    • A) Rs 200
    • B) Rs 300
    • C) Rs 400
    • D) Rs 450

    Answer: Rs 400

    Explanation: Total parts are 9. One part is 100. Largest share is 4 parts, which is 400.

12. Question 12

    Q12. Two numbers are in ratio 5:7 and their sum is 96. What is the smaller number?

    • A) 35
    • B) 40
    • C) 45
    • D) 56

    Answer: 40

    Explanation: Total parts are 12. One part is 8. Smaller number is 5 times 8, which is 40.

13. Question 13

    Q13. If A:B = 4:5 and B = 40, what is A?

    • A) 28
    • B) 32
    • C) 36
    • D) 48

    Answer: 32

    Explanation: B is 5 parts equal to 40, so one part is 8. A is 4 parts, which is 32.

14. Question 14

    Q14. Divide Rs 480 in ratio 3:5. Smaller share is:

    • A) Rs 150
    • B) Rs 180
    • C) Rs 200
    • D) Rs 300

    Answer: Rs 180

    Explanation: Total parts are 8. One part is 60. Smaller share is 3 times 60, which is 180.

15. Question 15

    Q15. Two numbers in ratio 2:3 sum to 50. Larger number is:

    • A) 20
    • B) 25
    • C) 30
    • D) 35

    Answer: 30

    Explanation: Total parts are 5. One part is 10. Larger is 3 times 10, which is 30.

16. Question 16

    Q16. If 3:x = 6:10, then x is:

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

    Answer: 5

    Explanation: Cross multiply: 3 times 10 equals 6x, so 30 equals 6x and x is 5.

17. Question 17

    Q17. If A:B = 5:7 and A = 35, B is:

    • A) 45
    • B) 49
    • C) 42
    • D) 56

    Answer: 49

    Explanation: A is 5 parts equal to 35, so one part is 7. B is 7 parts, which is 49.

18. Question 18

    Q18. Divide 90 in ratio 2:3:4. Middle share is:

    • A) 20
    • B) 30
    • C) 40
    • D) 36

    Answer: 30

    Explanation: Total parts are 9. One part is 10. Middle share is 3 times 10, which is 30.

19. Question 19

    Q19. Ratio 3:5, sum 64. Smaller number:

    • A) 20
    • B) 24
    • C) 28
    • D) 32

    Answer: 24

    Explanation: Total parts are 8. One part is 8. Smaller is 3 times 8, which is 24.

20. Question 20

    Q20. If 2:x = 8:20, x is:

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

    Answer: 5

    Explanation: Cross multiply: 2 times 20 equals 8x, so 40 equals 8x and x is 5.