CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 729:1728?
A. 1:1
B. 729:1728
C. 1728:729
D. 9:12
Correct Answer: D
Subtriplicate ratio means cube roots.
∛729:∛1728 = 9:12
Answer = 9:12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 100:196?
A. 100:196
B. 10:14
C. 196:100
D. 1:1
Correct Answer: B
Subduplicate ratio means square roots.
√100:√196 = 10:14
Answer = 10:14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 10:20?
A. 1000:8000
B. 1:1
C. 10:20
D. 20:10
Correct Answer: A
Triplicate ratio means cube both terms.
10³:20³ = 1000:8000
Answer = 1000:8000
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 9:19?
A. 19:9
B. 9:19
C. 81:361
D. 1:1
Correct Answer: C
Duplicate ratio means square both terms.
9²:19² = 81:361
Answer = 81:361
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 12:22 and 17:24.
A. 29:46
B. 288:374
C. 17:44
D. 204:528
Correct Answer: C
Compound ratio = (12 × 17):(22 × 24)
= 204:528
Simplified = 17:44
Answer = 17:44
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 11:21 and 15:23.
A. 165:483
B. 253:315
C. 26:44
D. 55:161
Correct Answer: D
Compound ratio = (11 × 15):(21 × 23)
= 165:483
Simplified = 55:161
Answer = 55:161
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 10:20 and 13:22.
A. 23:42
B. 130:440
C. 220:260
D. 13:44
Correct Answer: D
Compound ratio = (10 × 13):(20 × 22)
= 130:440
Simplified = 13:44
Answer = 13:44
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 9:19 and 11:21.
A. 99:399
B. 33:133
C. 189:209
D. 20:40
Correct Answer: B
Compound ratio = (9 × 11):(19 × 21)
= 99:399
Simplified = 33:133
Answer = 33:133
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 300 and 675.
A. 375
B. 487.5
C. 450
D. 975
Correct Answer: C
Let x be the mean proportional.
300:x = x:675
x² = 300 × 675 = 202500
x = √202500 = 450
Answer = 450
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 296 and 666.
A. 444
B. 370
C. 481
D. 962
Correct Answer: A
Let x be the mean proportional.
296:x = x:666
x² = 296 × 666 = 197136
x = √197136 = 444
Answer = 444
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 292 and 657.
A. 365
B. 474.5
C. 949
D. 438
Correct Answer: D
Let x be the mean proportional.
292:x = x:657
x² = 292 × 657 = 191844
x = √191844 = 438
Answer = 438
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 288 and 648.
A. 468
B. 432
C. 360
D. 936
Correct Answer: B
Let x be the mean proportional.
288:x = x:648
x² = 288 × 648 = 186624
x = √186624 = 432
Answer = 432
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 13, 22, and 31.
A. 52.46
B. 286
C. 53
D. 18.32
Correct Answer: A
For fourth proportional d:
13:22 = 31:d
13d = 22 × 31
d = (22 × 31) ÷ 13 = 52.46
Answer = 52.46
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 12, 21, and 30.
A. 52.5
B. 252
C. 51
D. 17.14
Correct Answer: A
For fourth proportional d:
12:21 = 30:d
12d = 21 × 30
d = (21 × 30) ÷ 12 = 52.5
Answer = 52.5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 11, 20, and 29.
A. 15.95
B. 49
C. 220
D. 52.73
Correct Answer: D
For fourth proportional d:
11:20 = 29:d
11d = 20 × 29
d = (20 × 29) ÷ 11 = 52.73
Answer = 52.73
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 10, 19, and 28.
A. 47
B. 190
C. 14.74
D. 53.2
Correct Answer: D
For fourth proportional d:
10:19 = 28:d
10d = 19 × 28
d = (19 × 28) ÷ 10 = 53.2
Answer = 53.2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 13 and 23.
A. 40.69
B. 18
C. 299
D. 529
Correct Answer: A
If a:b = b:c, c is the third proportional.
13:23 = 23:c
13c = 23² = 529
c = 529 ÷ 13 = 40.69
Answer = 40.69
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 12 and 22.
A. 484
B. 40.33
C. 264
D. 17
Correct Answer: B
If a:b = b:c, c is the third proportional.
12:22 = 22:c
12c = 22² = 484
c = 484 ÷ 12 = 40.33
Answer = 40.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 11 and 21.
A. 231
B. 16
C. 40.09
D. 441
Correct Answer: C
If a:b = b:c, c is the third proportional.
11:21 = 21:c
11c = 21² = 441
c = 441 ÷ 11 = 40.09
Answer = 40.09
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 10 and 20.
A. 200
B. 15
C. 400
D. 40
Correct Answer: D
If a:b = b:c, c is the third proportional.
10:20 = 20:c
10c = 20² = 400
c = 400 ÷ 10 = 40
Answer = 40