CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 1000:2197?
A. 1000:2197
B. 10:13
C. 2197:1000
D. 1:1
Correct Answer: B
Subtriplicate ratio means cube roots.
∛1000:∛2197 = 10:13
Answer = 10:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 121:225?
A. 11:15
B. 1:1
C. 225:121
D. 121:225
Correct Answer: A
Subduplicate ratio means square roots.
√121:√225 = 11:15
Answer = 11:15
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 11:22?
A. 1331:10648
B. 22:11
C. 11:22
D. 1:1
Correct Answer: A
Triplicate ratio means cube both terms.
11³:22³ = 1331:10648
Answer = 1331:10648
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 10:21?
A. 21:10
B. 10:21
C. 1:1
D. 100:441
Correct Answer: D
Duplicate ratio means square both terms.
10²:21² = 100:441
Answer = 100:441
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 13:24 and 18:26.
A. 338:432
B. 3:8
C. 31:50
D. 234:624
Correct Answer: B
Compound ratio = (13 × 18):(24 × 26)
= 234:624
Simplified = 3:8
Answer = 3:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 12:23 and 16:25.
A. 300:368
B. 28:48
C. None of these 1
D. 192:575
Correct Answer: D
Compound ratio = (12 × 16):(23 × 25)
= 192:575
Simplified = 192:575
Answer = 192:575
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 11:22 and 14:24.
A. 154:528
B. 25:46
C. 7:24
D. 264:308
Correct Answer: C
Compound ratio = (11 × 14):(22 × 24)
= 154:528
Simplified = 7:24
Answer = 7:24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 10:21 and 12:23.
A. 230:252
B. 40:161
C. 22:44
D. 120:483
Correct Answer: B
Compound ratio = (10 × 12):(21 × 23)
= 120:483
Simplified = 40:161
Answer = 40:161
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 340 and 765.
A. 552.5
B. 425
C. 1,105
D. 510
Correct Answer: D
Let x be the mean proportional.
340:x = x:765
x² = 340 × 765 = 260100
x = √260100 = 510
Answer = 510
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 336 and 756.
A. 504
B. 420
C. 1,092
D. 546
Correct Answer: A
Let x be the mean proportional.
336:x = x:756
x² = 336 × 756 = 254016
x = √254016 = 504
Answer = 504
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 332 and 747.
A. 415
B. 539.5
C. 1,079
D. 498
Correct Answer: D
Let x be the mean proportional.
332:x = x:747
x² = 332 × 747 = 248004
x = √248004 = 498
Answer = 498
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 328 and 738.
A. 1,066
B. 492
C. 410
D. 533
Correct Answer: B
Let x be the mean proportional.
328:x = x:738
x² = 328 × 738 = 242064
x = √242064 = 492
Answer = 492
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 14, 24, and 34.
A. 58
B. 58.29
C. 19.83
D. 336
Correct Answer: B
For fourth proportional d:
14:24 = 34:d
14d = 24 × 34
d = (24 × 34) ÷ 14 = 58.29
Answer = 58.29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 13, 23, and 33.
A. 56
B. 58.38
C. 18.65
D. 299
Correct Answer: B
For fourth proportional d:
13:23 = 33:d
13d = 23 × 33
d = (23 × 33) ÷ 13 = 58.38
Answer = 58.38
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 12, 22, and 32.
A. 58.67
B. 264
C. 54
D. 17.45
Correct Answer: A
For fourth proportional d:
12:22 = 32:d
12d = 22 × 32
d = (22 × 32) ÷ 12 = 58.67
Answer = 58.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 11, 21, and 31.
A. 59.18
B. 16.24
C. 231
D. 52
Correct Answer: A
For fourth proportional d:
11:21 = 31:d
11d = 21 × 31
d = (21 × 31) ÷ 11 = 59.18
Answer = 59.18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 14 and 25.
A. 19.5
B. 44.64
C. 625
D. 350
Correct Answer: B
If a:b = b:c, c is the third proportional.
14:25 = 25:c
14c = 25² = 625
c = 625 ÷ 14 = 44.64
Answer = 44.64
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 13 and 24.
A. 44.31
B. 312
C. 576
D. 18.5
Correct Answer: A
If a:b = b:c, c is the third proportional.
13:24 = 24:c
13c = 24² = 576
c = 576 ÷ 13 = 44.31
Answer = 44.31
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 12 and 23.
A. 529
B. 44.08
C. 17.5
D. 276
Correct Answer: B
If a:b = b:c, c is the third proportional.
12:23 = 23:c
12c = 23² = 529
c = 529 ÷ 12 = 44.08
Answer = 44.08
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 11 and 22.
A. 44
B. 484
C. 16.5
D. 242
Correct Answer: A
If a:b = b:c, c is the third proportional.
11:22 = 22:c
11c = 22² = 484
c = 484 ÷ 11 = 44
Answer = 44