CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 27:216?
A. 1:1
B. 3:6
C. 216:27
D. 27:216
Correct Answer: B
Subtriplicate ratio means cube roots.
∛27:∛216 = 3:6
Answer = 3:6
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 16:64?
A. 16:64
B. 64:16
C. 4:8
D. 1:1
Correct Answer: C
Subduplicate ratio means square roots.
√16:√64 = 4:8
Answer = 4:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 4:8?
A. 8:4
B. 64:512
C. 4:8
D. 1:1
Correct Answer: B
Triplicate ratio means cube both terms.
4³:8³ = 64:512
Answer = 64:512
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 3:7?
A. 1:1
B. 3:7
C. 7:3
D. 9:49
Correct Answer: D
Duplicate ratio means square both terms.
3²:7² = 9:49
Answer = 9:49
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 6:10 and 11:12.
A. 17:22
B. 11:20
C. 66:120
D. 72:110
Correct Answer: B
Compound ratio = (6 × 11):(10 × 12)
= 66:120
Simplified = 11:20
Answer = 11:20
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 5:9 and 9:11.
A. 14:20
B. 55:81
C. 5:11
D. 45:99
Correct Answer: C
Compound ratio = (5 × 9):(9 × 11)
= 45:99
Simplified = 5:11
Answer = 5:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 4:8 and 7:10.
A. 7:20
B. 11:18
C. 28:80
D. 40:56
Correct Answer: A
Compound ratio = (4 × 7):(8 × 10)
= 28:80
Simplified = 7:20
Answer = 7:20
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 3:7 and 5:9.
A. 8:16
B. 15:63
C. 27:35
D. 5:21
Correct Answer: D
Compound ratio = (3 × 5):(7 × 9)
= 15:63
Simplified = 5:21
Answer = 5:21
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 60 and 135.
A. 90
B. 97.5
C. 195
D. 75
Correct Answer: A
Let x be the mean proportional.
60:x = x:135
x² = 60 × 135 = 8100
x = √8100 = 90
Answer = 90
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 56 and 126.
A. 91
B. 182
C. 84
D. 70
Correct Answer: C
Let x be the mean proportional.
56:x = x:126
x² = 56 × 126 = 7056
x = √7056 = 84
Answer = 84
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 52 and 117.
A. 78
B. 169
C. 84.5
D. 65
Correct Answer: A
Let x be the mean proportional.
52:x = x:117
x² = 52 × 117 = 6084
x = √6084 = 78
Answer = 78
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 48 and 108.
A. 60
B. 78
C. 72
D. 156
Correct Answer: C
Let x be the mean proportional.
48:x = x:108
x² = 48 × 108 = 5184
x = √5184 = 72
Answer = 72
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 7, 10, and 13.
A. 23
B. 18.57
C. 9.1
D. 70
Correct Answer: B
For fourth proportional d:
7:10 = 13:d
7d = 10 × 13
d = (10 × 13) ÷ 7 = 18.57
Answer = 18.57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 6, 9, and 12.
A. 8
B. 54
C. 21
D. 18
Correct Answer: D
For fourth proportional d:
6:9 = 12:d
6d = 9 × 12
d = (9 × 12) ÷ 6 = 18
Answer = 18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 5, 8, and 11.
A. 17.6
B. 19
C. 40
D. 6.88
Correct Answer: A
For fourth proportional d:
5:8 = 11:d
5d = 8 × 11
d = (8 × 11) ÷ 5 = 17.6
Answer = 17.6
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 4, 7, and 10.
A. 17
B. 17.5
C. 28
D. 5.71
Correct Answer: B
For fourth proportional d:
4:7 = 10:d
4d = 7 × 10
d = (7 × 10) ÷ 4 = 17.5
Answer = 17.5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 7 and 11.
A. 77
B. 121
C. 17.29
D. 9
Correct Answer: C
If a:b = b:c, c is the third proportional.
7:11 = 11:c
7c = 11² = 121
c = 121 ÷ 7 = 17.29
Answer = 17.29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 6 and 10.
A. 100
B. 60
C. 8
D. 16.67
Correct Answer: D
If a:b = b:c, c is the third proportional.
6:10 = 10:c
6c = 10² = 100
c = 100 ÷ 6 = 16.67
Answer = 16.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 5 and 9.
A. 81
B. 7
C. 16.2
D. 45
Correct Answer: C
If a:b = b:c, c is the third proportional.
5:9 = 9:c
5c = 9² = 81
c = 81 ÷ 5 = 16.2
Answer = 16.2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 4 and 8.
A. 16
B. 6
C. 32
D. 64
Correct Answer: A
If a:b = b:c, c is the third proportional.
4:8 = 8:c
4c = 8² = 64
c = 64 ÷ 4 = 16
Answer = 16