ISSB - Pak Army Officer Selection Mathematics Ratios — Set 3

ISSB - Pak Army Officer Selection Mathematics Ratios — Set 3

1. Question 1

   Q1. Simplify ratio 18:24.

   • A) 2:3
   • B) 3:4
   • C) 4:5
   • D) 6:8

   Answer: 3:4

   Explanation: Divide both by 6 to get 3:4. Work each step carefully; ISSB math rewards accuracy under time pressure.

2. Question 2

   Q2. Divide 90 in ratio 2:3:4. Middle share?

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

   Answer: 30

   Explanation: Nine parts total so middle 3/9 of 90 equals 30. Work each step carefully; ISSB math rewards accuracy under time pressure.

3. Question 3

   Q3. If a:b = 2:3 and b:c = 6:5, then a:c?

   • A) 2:5
   • B) 4:5
   • C) 5:6
   • D) 3:5

   Answer: 4:5

   Explanation: Make b equal: a:b:c = 4:6:5 so a:c is 4:5. Work each step carefully; ISSB math rewards accuracy under time pressure.

4. Question 4

   Q4. Ratio of ages 3:4. Younger is 21. Older?

   • A) 24
   • B) 26
   • C) 28
   • D) 30

   Answer: 28

   Explanation: Three parts equal 21 so one part is 7 and four parts is 28.

5. Question 5

   Q5. Ratio 5:8, difference of parts 15. Total?

   • A) 55
   • B) 60
   • C) 65
   • D) 70

   Answer: 65

   Explanation: Three parts difference equals 15 so one part is 5 and total 13 parts is 65.

6. Question 6

   Q6. Ratio 7:3, smaller part 21. Larger part?

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

   Answer: 49

   Explanation: Three parts equal 21 so one part is 7 and seven parts is 49.

7. Question 7

   Q7. Simplify ratio 35:49.

   • A) 5:7
   • B) 7:5
   • C) 5:9
   • D) 7:9

   Answer: 5:7

   Explanation: Divide both by 7 to get 5:7. Work each step carefully; ISSB math rewards accuracy under time pressure.

8. Question 8

   Q8. Divide 144 in ratio 5:7. Larger share?

   • A) 84
   • B) 72
   • C) 60
   • D) 96

   Answer: 84

   Explanation: Twelve parts total so larger 7/12 of 144 equals 84. Work each step carefully; ISSB math rewards accuracy under time pressure.

9. Question 9

   Q9. Map scale 1:250000. 4 cm equals?

   • A) 1 km
   • B) 5 km
   • C) 10 km
   • D) 25 km

   Answer: 10 km

   Explanation: Four cm times 250000 cm equals 1000000 cm which is 10 km.

10. Question 10

    Q10. Age ratio father:son 5:2. Sum 49. Son's age?

    • A) 10
    • B) 12
    • C) 14
    • D) 16

    Answer: 14

    Explanation: Seven parts equal 49 so one part is 7 and son gets 14.

11. Question 11

    Q11. Ratio 2:7, total 54. Smaller part?

    • A) 10
    • B) 12
    • C) 14
    • D) 16

    Answer: 12

    Explanation: Two parts out of nine so 2/9 of 54 equals 12. Apply the same method to similar ISSB quantitative items.

12. Question 12

    Q12. Ratio 5:9, sum of parts 42. Larger part?

    • A) 22
    • B) 24
    • C) 27
    • D) 30

    Answer: 27

    Explanation: Fourteen parts equal 42 so one part is 3 and nine parts is 27.

13. Question 13

    Q13. Simplify ratio 24:36.

    • A) 1:2
    • B) 2:3
    • C) 3:4
    • D) 4:6

    Answer: 2:3

    Explanation: Divide both by 12 to get 2:3. 2:3 is correct because it matches what the question requires. Apply the same method to similar ISSB quantitative items.

14. Question 14

    Q14. Divide 84 in ratio 3:4. Larger share?

    • A) 44
    • B) 46
    • C) 48
    • D) 52

    Answer: 48

    Explanation: Seven parts total so larger 4/7 of 84 equals 48. Apply the same method to similar ISSB quantitative items.

15. Question 15

    Q15. If a:b = 3:4 and b:c = 8:5, then a:c?

    • A) 3:5
    • B) 6:5
    • C) 5:6
    • D) 4:5

    Answer: 6:5

    Explanation: Make b equal: a:b:c = 6:8:5 so a:c is 6:5. Apply the same method to similar ISSB quantitative items.

16. Question 16

    Q16. Ratio of ages 4:5. Younger is 24. Older?

    • A) 28
    • B) 30
    • C) 32
    • D) 35

    Answer: 30

    Explanation: Four parts equal 24 so one part is 6 and five parts is 30.

17. Question 17

    Q17. Ratio 3:8, difference of parts 20. Total?

    • A) 44
    • B) 48
    • C) 52
    • D) 55

    Answer: 44

    Explanation: Five parts difference equals 20 so one part is 4 and total 11 parts is 44.

18. Question 18

    Q18. Ratio 6:11, smaller part 18. Larger part?

    • A) 30
    • B) 33
    • C) 36
    • D) 39

    Answer: 33

    Explanation: Six parts equal 18 so one part is 3 and eleven parts is 33.

19. Question 19

    Q19. Divide 135 in ratio 4:5. Larger share?

    • A) 70
    • B) 72
    • C) 75
    • D) 78

    Answer: 75

    Explanation: Nine parts total so larger 5/9 of 135 equals 75. Work each step carefully; ISSB math rewards accuracy under time pressure.

20. Question 20

    Q20. Map scale 1:100000. 5 cm equals?

    • A) 3 km
    • B) 4 km
    • C) 5 km
    • D) 6 km

    Answer: 5 km

    Explanation: Five cm times 100000 cm equals 500000 cm which is 5 km.