CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 1331:2744?
A. 2744:1331
B. 1:1
C. 11:14
D. 1331:2744
Correct Answer: C
Subtriplicate ratio means cube roots.
∛1331:∛2744 = 11:14
Answer = 11:14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 144:256?
A. 12:16
B. 144:256
C. 256:144
D. 1:1
Correct Answer: A
Subduplicate ratio means square roots.
√144:√256 = 12:16
Answer = 12:16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 12:24?
A. 1728:13824
B. 24:12
C. 12:24
D. 1:1
Correct Answer: A
Triplicate ratio means cube both terms.
12³:24³ = 1728:13824
Answer = 1728:13824
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 11:23?
A. 121:529
B. 23:11
C. 1:1
D. 11:23
Correct Answer: A
Duplicate ratio means square both terms.
11²:23² = 121:529
Answer = 121:529
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 14:26 and 19:28.
A. 33:54
B. 19:52
C. 266:728
D. 392:494
Correct Answer: B
Compound ratio = (14 × 19):(26 × 28)
= 266:728
Simplified = 19:52
Answer = 19:52
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 13:25 and 17:27.
A. 30:52
B. None of these 1
C. 221:675
D. 351:425
Correct Answer: C
Compound ratio = (13 × 17):(25 × 27)
= 221:675
Simplified = 221:675
Answer = 221:675
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 12:24 and 15:26.
A. 180:624
B. 15:52
C. 27:50
D. 312:360
Correct Answer: B
Compound ratio = (12 × 15):(24 × 26)
= 180:624
Simplified = 15:52
Answer = 15:52
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 11:23 and 13:25.
A. 275:299
B. 24:48
C. 143:575
D. None of these 1
Correct Answer: C
Compound ratio = (11 × 13):(23 × 25)
= 143:575
Simplified = 143:575
Answer = 143:575
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 380 and 855.
A. 617.5
B. 570
C. 1,235
D. 475
Correct Answer: B
Let x be the mean proportional.
380:x = x:855
x² = 380 × 855 = 324900
x = √324900 = 570
Answer = 570
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 376 and 846.
A. 564
B. 470
C. 611
D. 1,222
Correct Answer: A
Let x be the mean proportional.
376:x = x:846
x² = 376 × 846 = 318096
x = √318096 = 564
Answer = 564
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 372 and 837.
A. 1,209
B. 465
C. 558
D. 604.5
Correct Answer: C
Let x be the mean proportional.
372:x = x:837
x² = 372 × 837 = 311364
x = √311364 = 558
Answer = 558
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 368 and 828.
A. 1,196
B. 552
C. 598
D. 460
Correct Answer: B
Let x be the mean proportional.
368:x = x:828
x² = 368 × 828 = 304704
x = √304704 = 552
Answer = 552
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 15, 26, and 37.
A. 64.13
B. 63
C. 21.35
D. 390
Correct Answer: A
For fourth proportional d:
15:26 = 37:d
15d = 26 × 37
d = (26 × 37) ÷ 15 = 64.13
Answer = 64.13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 14, 25, and 36.
A. 20.16
B. 350
C. 64.29
D. 61
Correct Answer: C
For fourth proportional d:
14:25 = 36:d
14d = 25 × 36
d = (25 × 36) ÷ 14 = 64.29
Answer = 64.29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 13, 24, and 35.
A. 59
B. 64.62
C. 18.96
D. 312
Correct Answer: B
For fourth proportional d:
13:24 = 35:d
13d = 24 × 35
d = (24 × 35) ÷ 13 = 64.62
Answer = 64.62
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 12, 23, and 34.
A. 17.74
B. 276
C. 57
D. 65.17
Correct Answer: D
For fourth proportional d:
12:23 = 34:d
12d = 23 × 34
d = (23 × 34) ÷ 12 = 65.17
Answer = 65.17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 15 and 27.
A. 21
B. 729
C. 48.6
D. 405
Correct Answer: C
If a:b = b:c, c is the third proportional.
15:27 = 27:c
15c = 27² = 729
c = 729 ÷ 15 = 48.6
Answer = 48.6
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 14 and 26.
A. 676
B. 20
C. 48.29
D. 364
Correct Answer: C
If a:b = b:c, c is the third proportional.
14:26 = 26:c
14c = 26² = 676
c = 676 ÷ 14 = 48.29
Answer = 48.29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 13 and 25.
A. 625
B. 19
C. 325
D. 48.08
Correct Answer: D
If a:b = b:c, c is the third proportional.
13:25 = 25:c
13c = 25² = 625
c = 625 ÷ 13 = 48.08
Answer = 48.08
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 12 and 24.
A. 48
B. 576
C. 18
D. 288
Correct Answer: A
If a:b = b:c, c is the third proportional.
12:24 = 24:c
12c = 24² = 576
c = 576 ÷ 12 = 48
Answer = 48