CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 8:125?
A. 8:125
B. 2:5
C. 125:8
D. 1:1
Correct Answer: B
Subtriplicate ratio means cube roots.
∛8:∛125 = 2:5
Answer = 2:5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 9:49?
A. 49:9
B. 1:1
C. 9:49
D. 3:7
Correct Answer: D
Subduplicate ratio means square roots.
√9:√49 = 3:7
Answer = 3:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 3:6?
A. 1:1
B. 6:3
C. 3:6
D. 27:216
Correct Answer: D
Triplicate ratio means cube both terms.
3³:6³ = 27:216
Answer = 27:216
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 2:5?
A. 5:2
B. 4:25
C. 1:1
D. 2:5
Correct Answer: B
Duplicate ratio means square both terms.
2²:5² = 4:25
Answer = 4:25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 5:8 and 10:10.
A. 15:18
B. None of these 1
C. 5:8
D. 50:80
Correct Answer: C
Compound ratio = (5 × 10):(8 × 10)
= 50:80
Simplified = 5:8
Answer = 5:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 4:7 and 8:9.
A. 36:56
B. 12:16
C. None of these 1
D. 32:63
Correct Answer: D
Compound ratio = (4 × 8):(7 × 9)
= 32:63
Simplified = 32:63
Answer = 32:63
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 3:6 and 6:8.
A. 9:14
B. 24:36
C. 3:8
D. 18:48
Correct Answer: C
Compound ratio = (3 × 6):(6 × 8)
= 18:48
Simplified = 3:8
Answer = 3:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 2:5 and 4:7.
A. 6:12
B. None of these 1
C. 14:20
D. 8:35
Correct Answer: D
Compound ratio = (2 × 4):(5 × 7)
= 8:35
Simplified = 8:35
Answer = 8:35
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 20 and 45.
A. 25
B. 32.5
C. 30
D. 65
Correct Answer: C
Let x be the mean proportional.
20:x = x:45
x² = 20 × 45 = 900
x = √900 = 30
Answer = 30
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 16 and 36.
A. 24
B. 52
C. 20
D. 26
Correct Answer: A
Let x be the mean proportional.
16:x = x:36
x² = 16 × 36 = 576
x = √576 = 24
Answer = 24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 12 and 27.
A. 18
B. 15
C. 19.5
D. 39
Correct Answer: A
Let x be the mean proportional.
12:x = x:27
x² = 12 × 27 = 324
x = √324 = 18
Answer = 18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 8 and 18.
A. 10
B. 13
C. 12
D. 26
Correct Answer: C
Let x be the mean proportional.
8:x = x:18
x² = 8 × 18 = 144
x = √144 = 12
Answer = 12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 6, 8, and 10.
A. 13.33
B. 7.5
C. 18
D. 48
Correct Answer: A
For fourth proportional d:
6:8 = 10:d
6d = 8 × 10
d = (8 × 10) ÷ 6 = 13.33
Answer = 13.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 5, 7, and 9.
A. 6.43
B. 16
C. 12.6
D. 35
Correct Answer: C
For fourth proportional d:
5:7 = 9:d
5d = 7 × 9
d = (7 × 9) ÷ 5 = 12.6
Answer = 12.6
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 4, 6, and 8.
A. 14
B. 12
C. 5.33
D. 24
Correct Answer: B
For fourth proportional d:
4:6 = 8:d
4d = 6 × 8
d = (6 × 8) ÷ 4 = 12
Answer = 12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 3, 5, and 7.
A. 4.2
B. 12
C. 15
D. 11.67
Correct Answer: D
For fourth proportional d:
3:5 = 7:d
3d = 5 × 7
d = (5 × 7) ÷ 3 = 11.67
Answer = 11.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 6 and 9.
A. 54
B. 81
C. 13.5
D. 7.5
Correct Answer: C
If a:b = b:c, c is the third proportional.
6:9 = 9:c
6c = 9² = 81
c = 81 ÷ 6 = 13.5
Answer = 13.5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 5 and 8.
A. 12.8
B. 64
C. 40
D. 6.5
Correct Answer: A
If a:b = b:c, c is the third proportional.
5:8 = 8:c
5c = 8² = 64
c = 64 ÷ 5 = 12.8
Answer = 12.8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 4 and 7.
A. 12.25
B. 49
C. 5.5
D. 28
Correct Answer: A
If a:b = b:c, c is the third proportional.
4:7 = 7:c
4c = 7² = 49
c = 49 ÷ 4 = 12.25
Answer = 12.25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 3 and 6.
A. 18
B. 4.5
C. 36
D. 12
Correct Answer: D
If a:b = b:c, c is the third proportional.
3:6 = 6:c
3c = 6² = 36
c = 36 ÷ 3 = 12
Answer = 12