CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 125:512?
A. 512:125
B. 125:512
C. 5:8
D. 1:1
Correct Answer: C
Subtriplicate ratio means cube roots.
∛125:∛512 = 5:8
Answer = 5:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 36:100?
A. 36:100
B. 1:1
C. 6:10
D. 100:36
Correct Answer: C
Subduplicate ratio means square roots.
√36:√100 = 6:10
Answer = 6:10
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 6:12?
A. 216:1728
B. 12:6
C. 1:1
D. 6:12
Correct Answer: A
Triplicate ratio means cube both terms.
6³:12³ = 216:1728
Answer = 216:1728
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 5:11?
A. 1:1
B. 25:121
C. 11:5
D. 5:11
Correct Answer: B
Duplicate ratio means square both terms.
5²:11² = 25:121
Answer = 25:121
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 8:14 and 13:16.
A. 104:224
B. 13:28
C. 21:30
D. 128:182
Correct Answer: B
Compound ratio = (8 × 13):(14 × 16)
= 104:224
Simplified = 13:28
Answer = 13:28
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 7:13 and 11:15.
A. 105:143
B. None of these 1
C. 18:28
D. 77:195
Correct Answer: D
Compound ratio = (7 × 11):(13 × 15)
= 77:195
Simplified = 77:195
Answer = 77:195
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 6:12 and 9:14.
A. 54:168
B. 84:108
C. 15:26
D. 9:28
Correct Answer: D
Compound ratio = (6 × 9):(12 × 14)
= 54:168
Simplified = 9:28
Answer = 9:28
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 5:11 and 7:13.
A. 12:24
B. 35:143
C. 65:77
D. None of these 1
Correct Answer: B
Compound ratio = (5 × 7):(11 × 13)
= 35:143
Simplified = 35:143
Answer = 35:143
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 140 and 315.
A. 175
B. 227.5
C. 210
D. 455
Correct Answer: C
Let x be the mean proportional.
140:x = x:315
x² = 140 × 315 = 44100
x = √44100 = 210
Answer = 210
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 136 and 306.
A. 170
B. 221
C. 204
D. 442
Correct Answer: C
Let x be the mean proportional.
136:x = x:306
x² = 136 × 306 = 41616
x = √41616 = 204
Answer = 204
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 132 and 297.
A. 165
B. 429
C. 214.5
D. 198
Correct Answer: D
Let x be the mean proportional.
132:x = x:297
x² = 132 × 297 = 39204
x = √39204 = 198
Answer = 198
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 128 and 288.
A. 416
B. 208
C. 192
D. 160
Correct Answer: C
Let x be the mean proportional.
128:x = x:288
x² = 128 × 288 = 36864
x = √36864 = 192
Answer = 192
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 9, 14, and 19.
A. 126
B. 12.21
C. 29.56
D. 33
Correct Answer: C
For fourth proportional d:
9:14 = 19:d
9d = 14 × 19
d = (14 × 19) ÷ 9 = 29.56
Answer = 29.56
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 8, 13, and 18.
A. 104
B. 29.25
C. 31
D. 11.08
Correct Answer: B
For fourth proportional d:
8:13 = 18:d
8d = 13 × 18
d = (13 × 18) ÷ 8 = 29.25
Answer = 29.25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 7, 12, and 17.
A. 84
B. 9.92
C. 29
D. 29.14
Correct Answer: D
For fourth proportional d:
7:12 = 17:d
7d = 12 × 17
d = (12 × 17) ÷ 7 = 29.14
Answer = 29.14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 6, 11, and 16.
A. 66
B. 29.33
C. 27
D. 8.73
Correct Answer: B
For fourth proportional d:
6:11 = 16:d
6d = 11 × 16
d = (11 × 16) ÷ 6 = 29.33
Answer = 29.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 9 and 15.
A. 135
B. 25
C. 12
D. 225
Correct Answer: B
If a:b = b:c, c is the third proportional.
9:15 = 15:c
9c = 15² = 225
c = 225 ÷ 9 = 25
Answer = 25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 8 and 14.
A. 112
B. 24.5
C. 11
D. 196
Correct Answer: B
If a:b = b:c, c is the third proportional.
8:14 = 14:c
8c = 14² = 196
c = 196 ÷ 8 = 24.5
Answer = 24.5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 7 and 13.
A. 169
B. 24.14
C. 10
D. 91
Correct Answer: B
If a:b = b:c, c is the third proportional.
7:13 = 13:c
7c = 13² = 169
c = 169 ÷ 7 = 24.14
Answer = 24.14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 6 and 12.
A. 24
B. 144
C. 72
D. 9
Correct Answer: A
If a:b = b:c, c is the third proportional.
6:12 = 12:c
6c = 12² = 144
c = 144 ÷ 6 = 24
Answer = 24