CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 216:729?
A. 6:9
B. 216:729
C. 1:1
D. 729:216
Correct Answer: A
Subtriplicate ratio means cube roots.
∛216:∛729 = 6:9
Answer = 6:9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 49:121?
A. 7:11
B. 1:1
C. 49:121
D. 121:49
Correct Answer: A
Subduplicate ratio means square roots.
√49:√121 = 7:11
Answer = 7:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 7:14?
A. 343:2744
B. 14:7
C. 7:14
D. 1:1
Correct Answer: A
Triplicate ratio means cube both terms.
7³:14³ = 343:2744
Answer = 343:2744
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 6:13?
A. 1:1
B. 13:6
C. 36:169
D. 6:13
Correct Answer: C
Duplicate ratio means square both terms.
6²:13² = 36:169
Answer = 36:169
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 9:16 and 14:18.
A. 23:34
B. 126:288
C. 162:224
D. 7:16
Correct Answer: D
Compound ratio = (9 × 14):(16 × 18)
= 126:288
Simplified = 7:16
Answer = 7:16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 8:15 and 12:17.
A. 136:180
B. 20:32
C. 32:85
D. 96:255
Correct Answer: C
Compound ratio = (8 × 12):(15 × 17)
= 96:255
Simplified = 32:85
Answer = 32:85
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 7:14 and 10:16.
A. 17:30
B. 70:224
C. 5:16
D. 112:140
Correct Answer: C
Compound ratio = (7 × 10):(14 × 16)
= 70:224
Simplified = 5:16
Answer = 5:16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 6:13 and 8:15.
A. 90:104
B. 48:195
C. 14:28
D. 16:65
Correct Answer: D
Compound ratio = (6 × 8):(13 × 15)
= 48:195
Simplified = 16:65
Answer = 16:65
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 180 and 405.
A. 270
B. 292.5
C. 585
D. 225
Correct Answer: A
Let x be the mean proportional.
180:x = x:405
x² = 180 × 405 = 72900
x = √72900 = 270
Answer = 270
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 176 and 396.
A. 220
B. 572
C. 264
D. 286
Correct Answer: C
Let x be the mean proportional.
176:x = x:396
x² = 176 × 396 = 69696
x = √69696 = 264
Answer = 264
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 172 and 387.
A. 215
B. 279.5
C. 258
D. 559
Correct Answer: C
Let x be the mean proportional.
172:x = x:387
x² = 172 × 387 = 66564
x = √66564 = 258
Answer = 258
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 168 and 378.
A. 546
B. 273
C. 210
D. 252
Correct Answer: D
Let x be the mean proportional.
168:x = x:378
x² = 168 × 378 = 63504
x = √63504 = 252
Answer = 252
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 10, 16, and 22.
A. 160
B. 35.2
C. 38
D. 13.75
Correct Answer: B
For fourth proportional d:
10:16 = 22:d
10d = 16 × 22
d = (16 × 22) ÷ 10 = 35.2
Answer = 35.2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 9, 15, and 21.
A. 36
B. 135
C. 12.6
D. 35
Correct Answer: D
For fourth proportional d:
9:15 = 21:d
9d = 15 × 21
d = (15 × 21) ÷ 9 = 35
Answer = 35
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 8, 14, and 20.
A. 34
B. 35
C. 11.43
D. 112
Correct Answer: B
For fourth proportional d:
8:14 = 20:d
8d = 14 × 20
d = (14 × 20) ÷ 8 = 35
Answer = 35
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 7, 13, and 19.
A. 10.23
B. 91
C. 35.29
D. 32
Correct Answer: C
For fourth proportional d:
7:13 = 19:d
7d = 13 × 19
d = (13 × 19) ÷ 7 = 35.29
Answer = 35.29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 10 and 17.
A. 13.5
B. 170
C. 28.9
D. 289
Correct Answer: C
If a:b = b:c, c is the third proportional.
10:17 = 17:c
10c = 17² = 289
c = 289 ÷ 10 = 28.9
Answer = 28.9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 9 and 16.
A. 12.5
B. 256
C. 144
D. 28.44
Correct Answer: D
If a:b = b:c, c is the third proportional.
9:16 = 16:c
9c = 16² = 256
c = 256 ÷ 9 = 28.44
Answer = 28.44
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 8 and 15.
A. 225
B. 28.12
C. 120
D. 11.5
Correct Answer: B
If a:b = b:c, c is the third proportional.
8:15 = 15:c
8c = 15² = 225
c = 225 ÷ 8 = 28.12
Answer = 28.12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 7 and 14.
A. 28
B. 10.5
C. 196
D. 98
Correct Answer: A
If a:b = b:c, c is the third proportional.
7:14 = 14:c
7c = 14² = 196
c = 196 ÷ 7 = 28
Answer = 28