CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subtriplicate ratio of 343:1000?
A. 1000:343
B. 1:1
C. 343:1000
D. 7:10
Correct Answer: D
Subtriplicate ratio means cube roots.
∛343:∛1000 = 7:10
Answer = 7:10
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the subduplicate ratio of 64:144?
A. 1:1
B. 64:144
C. 144:64
D. 8:12
Correct Answer: D
Subduplicate ratio means square roots.
√64:√144 = 8:12
Answer = 8:12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the triplicate ratio of 8:16?
A. 8:16
B. 1:1
C. 512:4096
D. 16:8
Correct Answer: C
Triplicate ratio means cube both terms.
8³:16³ = 512:4096
Answer = 512:4096
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
What is the duplicate ratio of 7:15?
A. 7:15
B. 15:7
C. 49:225
D. 1:1
Correct Answer: C
Duplicate ratio means square both terms.
7²:15² = 49:225
Answer = 49:225
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 10:18 and 15:20.
A. 200:270
B. 150:360
C. 5:12
D. 25:38
Correct Answer: C
Compound ratio = (10 × 15):(18 × 20)
= 150:360
Simplified = 5:12
Answer = 5:12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 9:17 and 13:19.
A. 117:323
B. None of these 1
C. 22:36
D. 171:221
Correct Answer: A
Compound ratio = (9 × 13):(17 × 19)
= 117:323
Simplified = 117:323
Answer = 117:323
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 8:16 and 11:18.
A. 144:176
B. 11:36
C. 88:288
D. 19:34
Correct Answer: B
Compound ratio = (8 × 11):(16 × 18)
= 88:288
Simplified = 11:36
Answer = 11:36
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the compound ratio of 7:15 and 9:17.
A. 16:32
B. 119:135
C. 21:85
D. 63:255
Correct Answer: C
Compound ratio = (7 × 9):(15 × 17)
= 63:255
Simplified = 21:85
Answer = 21:85
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 220 and 495.
A. 330
B. 357.5
C. 275
D. 715
Correct Answer: A
Let x be the mean proportional.
220:x = x:495
x² = 220 × 495 = 108900
x = √108900 = 330
Answer = 330
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 216 and 486.
A. 702
B. 324
C. 270
D. 351
Correct Answer: B
Let x be the mean proportional.
216:x = x:486
x² = 216 × 486 = 104976
x = √104976 = 324
Answer = 324
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 212 and 477.
A. 689
B. 344.5
C. 265
D. 318
Correct Answer: D
Let x be the mean proportional.
212:x = x:477
x² = 212 × 477 = 101124
x = √101124 = 318
Answer = 318
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the mean proportional between 208 and 468.
A. 676
B. 312
C. 260
D. 338
Correct Answer: B
Let x be the mean proportional.
208:x = x:468
x² = 208 × 468 = 97344
x = √97344 = 312
Answer = 312
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 11, 18, and 25.
A. 15.28
B. 43
C. 40.91
D. 198
Correct Answer: C
For fourth proportional d:
11:18 = 25:d
11d = 18 × 25
d = (18 × 25) ÷ 11 = 40.91
Answer = 40.91
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 10, 17, and 24.
A. 41
B. 14.12
C. 170
D. 40.8
Correct Answer: D
For fourth proportional d:
10:17 = 24:d
10d = 17 × 24
d = (17 × 24) ÷ 10 = 40.8
Answer = 40.8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 9, 16, and 23.
A. 144
B. 12.94
C. 40.89
D. 39
Correct Answer: C
For fourth proportional d:
9:16 = 23:d
9d = 16 × 23
d = (16 × 23) ÷ 9 = 40.89
Answer = 40.89
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the fourth proportional to 8, 15, and 22.
A. 37
B. 11.73
C. 41.25
D. 120
Correct Answer: C
For fourth proportional d:
8:15 = 22:d
8d = 15 × 22
d = (15 × 22) ÷ 8 = 41.25
Answer = 41.25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 11 and 19.
A. 209
B. 15
C. 361
D. 32.82
Correct Answer: D
If a:b = b:c, c is the third proportional.
11:19 = 19:c
11c = 19² = 361
c = 361 ÷ 11 = 32.82
Answer = 32.82
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 10 and 18.
A. 32.4
B. 324
C. 180
D. 14
Correct Answer: A
If a:b = b:c, c is the third proportional.
10:18 = 18:c
10c = 18² = 324
c = 324 ÷ 10 = 32.4
Answer = 32.4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 9 and 17.
A. 153
B. 289
C. 32.11
D. 13
Correct Answer: C
If a:b = b:c, c is the third proportional.
9:17 = 17:c
9c = 17² = 289
c = 289 ÷ 9 = 32.11
Answer = 32.11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Find the third proportional to 8 and 16.
A. 128
B. 12
C. 32
D. 256
Correct Answer: C
If a:b = b:c, c is the third proportional.
8:16 = 16:c
8c = 16² = 256
c = 256 ÷ 8 = 32
Answer = 32