ISSB - Pak Army Officer Selection Mathematics Ratios — Set 2

Ratios MCQs set 2 for ISSB - Pak Army Officer Selection Mathematics — 20 solved questions.

ISSB - Pak Army Officer Selection Mathematics Ratios — Set 2

  1. Question 1

    Q1. Mix ratio 2:3 costs. Total 50 liters. First part:

    • A) 15
    • B) 20
    • C) 25
    • D) 30

    Answer: 20

    Explanation: Total parts are 5. One part is 10. First part is 20 liters.

  2. Question 2

    Q2. If A:B = 1:2 and B:C = 3:4, A:C is:

    • A) 3:8
    • B) 1:4
    • C) 3:4
    • D) 1:8

    Answer: 3:8

    Explanation: Make B common: A:B = 3:6 and B:C = 6:8. So A:C = 3:8.

  3. Question 3

    Q3. Divide 120 in 1:2:3. Largest share:

    • A) 40
    • B) 50
    • C) 60
    • D) 70

    Answer: 60

    Explanation: Total parts are 6. One part is 20. Largest is 3 times 20, which is 60.

  4. Question 4

    Q4. Ratio 4:6, sum 50. Smaller:

    • A) 15
    • B) 20
    • C) 25
    • D) 30

    Answer: 20

    Explanation: Simplify to 2:3. Total parts 5. One part is 10. Smaller is 20.

  5. Question 5

    Q5. Mix 2:3:5 total 100 L. Middle part:

    • A) 20
    • B) 30
    • C) 40
    • D) 50

    Answer: 30

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

  6. Question 6

    Q6. If 5:x = 15:21, x is:

    • A) 5
    • B) 7
    • C) 9
    • D) 11

    Answer: 7

    Explanation: Cross multiply: 5 times 21 equals 15x, so 105 equals 15x and x is 7.

  7. Question 7

    Q7. Ratio 7:3, difference 20. Larger:

    • A) 30
    • B) 35
    • C) 40
    • D) 45

    Answer: 35

    Explanation: Difference of parts is 4. One part is 5. Larger is 7 times 5, which is 35.

  8. Question 8

    Q8. Ratio of 2:3 equals which fraction?

    • A) 2/5
    • B) 3/5
    • C) 2/3
    • D) 3/2

    Answer: 2/5

    Explanation: In ratio 2:3 the first part is 2 out of total 5 parts.

  9. Question 9

    Q9. Divide 120 in ratio 2:3. Larger share?

    • A) 48
    • B) 60
    • C) 72
    • D) 80

    Answer: 72

    Explanation: Total parts 5 so larger share is 3/5 of 120 which is 72.

  10. Question 10

    Q10. Simplify ratio 45:60.

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

    Answer: 3:4

    Explanation: Divide both by 15 to get 3:4. Work each step carefully; ISSB math rewards accuracy under time pressure.

  11. Question 11

    Q11. Map scale 1:50000. 3 cm on map equals?

    • A) 1.5 km
    • B) 1 km
    • C) 2 km
    • D) 0.5 km

    Answer: 1.5 km

    Explanation: Three cm times 50000 cm equals 150000 cm which is 1.5 km.

  12. Question 12

    Q12. Ratio of boys to girls is 5:4. If boys are 25, girls?

    • A) 16
    • B) 18
    • C) 20
    • D) 24

    Answer: 20

    Explanation: Five parts equal 25 so one part is 5 and four parts is 20 girls.

  13. Question 13

    Q13. If a:b = 3:2 and b:c = 4:5, then a:c?

    • A) 3:5
    • B) 6:5
    • C) 12:10
    • D) 5:6

    Answer: 6:5

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

  14. Question 14

    Q14. Ratio 3:5, total 40. Smaller part?

    • A) 12
    • B) 15
    • C) 18
    • D) 25

    Answer: 15

    Explanation: Three eighths of 40 equals 15 for the smaller share. Work each step carefully; ISSB math rewards accuracy under time pressure.

  15. Question 15

    Q15. Divide 90 in ratio 1:2. Larger share?

    • A) 30
    • B) 45
    • C) 60
    • D) 75

    Answer: 60

    Explanation: Two thirds of 90 equals 60 for the larger part. Work each step carefully; ISSB math rewards accuracy under time pressure.

  16. Question 16

    Q16. Simplify 18:24.

    • A) 2:3
    • B) 3:4
    • C) 4:5
    • D) 6:7

    Answer: 3:4

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

  17. Question 17

    Q17. If 2:3 = x:15, x equals?

    • A) 8
    • B) 9
    • C) 10
    • D) 12

    Answer: 10

    Explanation: Cross multiply 3x equals 30 so x is 10. Work each step carefully; ISSB math rewards accuracy under time pressure.

  18. Question 18

    Q18. Age ratio 4:5, sum 36. Younger age?

    • A) 14
    • B) 16
    • C) 18
    • D) 20

    Answer: 16

    Explanation: Four ninths of 36 equals 16 years. Work each step carefully; ISSB math rewards accuracy under time pressure.

  19. Question 19

    Q19. Coins ratio 2:3 worth 50 rs if 2rs and 1rs coins. Count of 2rs?

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

    Answer: 10

    Explanation: Solve 2x plus 3x equals 50 with x=10 for 2rs coins count.

  20. Question 20

    Q20. Ratio 4:7, sum of parts 55. Larger part?

    • A) 20
    • B) 28
    • C) 35
    • D) 44

    Answer: 35

    Explanation: Eleven parts equal 55 so one part is 5 and seven parts is 35.