CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 512:1331?
A. 1:1
B. 8:11
C. 512:1331
D. 1331:512
Correct Answer: B
Subtriplicate ratio means cube roots.
∛512:∛1331 = 8:11
Answer = 8:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 81:169?
A. 169:81
B. 1:1
C. 81:169
D. 9:13
Correct Answer: D
Subduplicate ratio means square roots.
√81:√169 = 9:13
Answer = 9:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 9:18?
A. 1:1
B. 9:18
C. 729:5832
D. 18:9
Correct Answer: C
Triplicate ratio means cube both terms.
9³:18³ = 729:5832
Answer = 729:5832
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 8:17?
A. 1:1
B. 8:17
C. 64:289
D. 17:8
Correct Answer: C
Duplicate ratio means square both terms.
8²:17² = 64:289
Answer = 64:289
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 11:20 and 16:22.
A. 27:42
B. 242:320
C. 2:5
D. 176:440
Correct Answer: C
Compound ratio = (11 × 16):(20 × 22)
= 176:440
Simplified = 2:5
Answer = 2:5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 10:19 and 14:21.
A. 20:57
B. 210:266
C. 140:399
D. 24:40
Correct Answer: A
Compound ratio = (10 × 14):(19 × 21)
= 140:399
Simplified = 20:57
Answer = 20:57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 9:18 and 12:20.
A. 108:360
B. 3:10
C. 21:38
D. 180:216
Correct Answer: B
Compound ratio = (9 × 12):(18 × 20)
= 108:360
Simplified = 3:10
Answer = 3:10
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 8:17 and 10:19.
A. 152:170
B. 18:36
C. 80:323
D. None of these 1
Correct Answer: C
Compound ratio = (8 × 10):(17 × 19)
= 80:323
Simplified = 80:323
Answer = 80:323
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 260 and 585.
A. 845
B. 390
C. 422.5
D. 325
Correct Answer: B
Let x be the mean proportional.
260:x = x:585
x² = 260 × 585 = 152100
x = √152100 = 390
Answer = 390
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 256 and 576.
A. 320
B. 416
C. 832
D. 384
Correct Answer: D
Let x be the mean proportional.
256:x = x:576
x² = 256 × 576 = 147456
x = √147456 = 384
Answer = 384
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 252 and 567.
A. 315
B. 378
C. 409.5
D. 819
Correct Answer: B
Let x be the mean proportional.
252:x = x:567
x² = 252 × 567 = 142884
x = √142884 = 378
Answer = 378
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 248 and 558.
A. 806
B. 310
C. 403
D. 372
Correct Answer: D
Let x be the mean proportional.
248:x = x:558
x² = 248 × 558 = 138384
x = √138384 = 372
Answer = 372
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 12, 20, and 28.
A. 48
B. 46.67
C. 16.8
D. 240
Correct Answer: B
For fourth proportional d:
12:20 = 28:d
12d = 20 × 28
d = (20 × 28) ÷ 12 = 46.67
Answer = 46.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 11, 19, and 27.
A. 46
B. 46.64
C. 209
D. 15.63
Correct Answer: B
For fourth proportional d:
11:19 = 27:d
11d = 19 × 27
d = (19 × 27) ÷ 11 = 46.64
Answer = 46.64
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 10, 18, and 26.
A. 14.44
B. 44
C. 180
D. 46.8
Correct Answer: D
For fourth proportional d:
10:18 = 26:d
10d = 18 × 26
d = (18 × 26) ÷ 10 = 46.8
Answer = 46.8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 9, 17, and 25.
A. 42
B. 47.22
C. 153
D. 13.24
Correct Answer: B
For fourth proportional d:
9:17 = 25:d
9d = 17 × 25
d = (17 × 25) ÷ 9 = 47.22
Answer = 47.22
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 12 and 21.
A. 36.75
B. 441
C. 16.5
D. 252
Correct Answer: A
If a:b = b:c, c is the third proportional.
12:21 = 21:c
12c = 21² = 441
c = 441 ÷ 12 = 36.75
Answer = 36.75
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 11 and 20.
A. 220
B. 15.5
C. 400
D. 36.36
Correct Answer: D
If a:b = b:c, c is the third proportional.
11:20 = 20:c
11c = 20² = 400
c = 400 ÷ 11 = 36.36
Answer = 36.36
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 10 and 19.
A. 190
B. 36.1
C. 361
D. 14.5
Correct Answer: B
If a:b = b:c, c is the third proportional.
10:19 = 19:c
10c = 19² = 361
c = 361 ÷ 10 = 36.1
Answer = 36.1
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 9 and 18.
A. 13.5
B. 162
C. 324
D. 36
Correct Answer: D
If a:b = b:c, c is the third proportional.
9:18 = 18:c
9c = 18² = 324
c = 324 ÷ 9 = 36
Answer = 36