CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 64:343?
A. 1:1
B. 64:343
C. 4:7
D. 343:64
Correct Answer: C
Subtriplicate ratio means cube roots.
∛64:∛343 = 4:7
Answer = 4:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 25:81?
A. 25:81
B. 5:9
C. 81:25
D. 1:1
Correct Answer: B
Subduplicate ratio means square roots.
√25:√81 = 5:9
Answer = 5:9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 5:10?
A. 125:1000
B. 10:5
C. 5:10
D. 1:1
Correct Answer: A
Triplicate ratio means cube both terms.
5³:10³ = 125:1000
Answer = 125:1000
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 4:9?
A. 9:4
B. 16:81
C. 1:1
D. 4:9
Correct Answer: B
Duplicate ratio means square both terms.
4²:9² = 16:81
Answer = 16:81
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 7:12 and 12:14.
A. 84:168
B. 1:2
C. 98:144
D. 19:26
Correct Answer: B
Compound ratio = (7 × 12):(12 × 14)
= 84:168
Simplified = 1:2
Answer = 1:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 6:11 and 10:13.
A. 16:24
B. 78:110
C. 60:143
D. None of these 1
Correct Answer: C
Compound ratio = (6 × 10):(11 × 13)
= 60:143
Simplified = 60:143
Answer = 60:143
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 5:10 and 8:12.
A. 1:3
B. 13:22
C. 40:120
D. 60:80
Correct Answer: A
Compound ratio = (5 × 8):(10 × 12)
= 40:120
Simplified = 1:3
Answer = 1:3
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 4:9 and 6:11.
A. 24:99
B. 8:33
C. 44:54
D. 10:20
Correct Answer: B
Compound ratio = (4 × 6):(9 × 11)
= 24:99
Simplified = 8:33
Answer = 8:33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 100 and 225.
A. 325
B. 150
C. 125
D. 162.5
Correct Answer: B
Let x be the mean proportional.
100:x = x:225
x² = 100 × 225 = 22500
x = √22500 = 150
Answer = 150
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 96 and 216.
A. 144
B. 156
C. 120
D. 312
Correct Answer: A
Let x be the mean proportional.
96:x = x:216
x² = 96 × 216 = 20736
x = √20736 = 144
Answer = 144
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 92 and 207.
A. 299
B. 149.5
C. 138
D. 115
Correct Answer: C
Let x be the mean proportional.
92:x = x:207
x² = 92 × 207 = 19044
x = √19044 = 138
Answer = 138
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 88 and 198.
A. 143
B. 110
C. 132
D. 286
Correct Answer: C
Let x be the mean proportional.
88:x = x:198
x² = 88 × 198 = 17424
x = √17424 = 132
Answer = 132
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 8, 12, and 16.
A. 24
B. 28
C. 10.67
D. 96
Correct Answer: A
For fourth proportional d:
8:12 = 16:d
8d = 12 × 16
d = (12 × 16) ÷ 8 = 24
Answer = 24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 7, 11, and 15.
A. 77
B. 9.55
C. 23.57
D. 26
Correct Answer: C
For fourth proportional d:
7:11 = 15:d
7d = 11 × 15
d = (11 × 15) ÷ 7 = 23.57
Answer = 23.57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 6, 10, and 14.
A. 8.4
B. 60
C. 23.33
D. 24
Correct Answer: C
For fourth proportional d:
6:10 = 14:d
6d = 10 × 14
d = (10 × 14) ÷ 6 = 23.33
Answer = 23.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 5, 9, and 13.
A. 7.22
B. 22
C. 23.4
D. 45
Correct Answer: C
For fourth proportional d:
5:9 = 13:d
5d = 9 × 13
d = (9 × 13) ÷ 5 = 23.4
Answer = 23.4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 8 and 13.
A. 169
B. 10.5
C. 104
D. 21.12
Correct Answer: D
If a:b = b:c, c is the third proportional.
8:13 = 13:c
8c = 13² = 169
c = 169 ÷ 8 = 21.12
Answer = 21.12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 7 and 12.
A. 84
B. 144
C. 20.57
D. 9.5
Correct Answer: C
If a:b = b:c, c is the third proportional.
7:12 = 12:c
7c = 12² = 144
c = 144 ÷ 7 = 20.57
Answer = 20.57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 6 and 11.
A. 66
B. 8.5
C. 20.17
D. 121
Correct Answer: C
If a:b = b:c, c is the third proportional.
6:11 = 11:c
6c = 11² = 121
c = 121 ÷ 6 = 20.17
Answer = 20.17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 5 and 10.
A. 50
B. 7.5
C. 100
D. 20
Correct Answer: D
If a:b = b:c, c is the third proportional.
5:10 = 10:c
5c = 10² = 100
c = 100 ÷ 5 = 20
Answer = 20