CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
13 men complete a job in 25 days, while 17 equally efficient men complete it in 19.12 days. What is the ratio of the two completion times?
A. 25:19
B. 2:3
C. 1:1
D. 13:17
Correct Answer: A
Completion times are 25 and 19.12 days.
Ratio = 25:19.12 = 25:19
Answer = 25:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 225 km and 350 km in the same time. What is the ratio of their speeds?
A. 9:14
B. 14:9
C. 3:2
D. 1:1
Correct Answer: A
For equal time, speed ratio = distance ratio.
= 225:350 = 9:14
Answer = 9:14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 11 days and 14 days. What is the ratio of their work rates?
A. 1:1
B. 2:3
C. 14:11
D. 11:14
Correct Answer: C
Rate ∝ 1/Time
Rate ratio = 1/11 : 1/14 = 14:11
Simplified = 14:11
Answer = 14:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 68 km/h and 100 km/h. What is the ratio of their travel times?
A. 17:25
B. 25:17
C. 2:3
D. 1:1
Correct Answer: B
For the same distance, time is inversely proportional to speed.
Time ratio = 100:68 = 25:17
Answer = 25:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 12:22. If water is 330 litres, how much acid is present?
A. 330 litres
B. 180 litres
C. 510 litres
D. 15 litres
Correct Answer: B
22 parts = 330 litres
1 part = 330 ÷ 22 = 15 litres
Acid = 12 × 15 = 180 litres
Answer = 180 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 11:21. If water is 294 litres, how much acid is present?
A. 448 litres
B. 154 litres
C. 14 litres
D. 294 litres
Correct Answer: B
21 parts = 294 litres
1 part = 294 ÷ 21 = 14 litres
Acid = 11 × 14 = 154 litres
Answer = 154 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 10:20 and total volume 390 litres. How many litres of milk are present?
A. 260 litres
B. 390 litres
C. 130 litres
D. 13 litres
Correct Answer: C
Total parts = 10+20 = 30
1 part = 390 ÷ 30 = 13 litres
Milk = 10 × 13 = 130 litres
Answer = 130 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 9:19 and total volume 336 litres. How many litres of milk are present?
A. 336 litres
B. 12 litres
C. 228 litres
D. 108 litres
Correct Answer: D
Total parts = 9+19 = 28
1 part = 336 ÷ 28 = 12 litres
Milk = 9 × 12 = 108 litres
Answer = 108 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 13:5. If monthly income is Rs. 87,500, how much is saved?
A. Rs. 24305.56
B. Rs. 87,500
C. Rs. 21,875
D. Rs. 43,750
Correct Answer: A
Total ratio parts = 13+5 = 18
Saving = 5/18 × Rs. 87,500
= Rs. 24305.56
Answer = Rs. 24305.56
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 12:4. If monthly income is Rs. 85,000, how much is saved?
A. Rs. 42,500
B. Rs. 85,000
C. Rs. 21,250
D. None of these 1
Correct Answer: C
Total ratio parts = 12+4 = 16
Saving = 4/16 × Rs. 85,000
= Rs. 21,250
Answer = Rs. 21,250
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 12:21. If A earns Rs. 82,500, what is B's income?
A. Rs. 82,500
B. Rs. 41,250
C. Rs. 144,375
D. Rs. 20,625
Correct Answer: C
12 parts = Rs. 82,500
1 part = Rs. 6,875
B's income = 21 parts = Rs. 144,375
Answer = Rs. 144,375
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 11:20. If A earns Rs. 80,000, what is B's income?
A. Rs. 145454.55
B. Rs. 80,000
C. Rs. 20,000
D. Rs. 40,000
Correct Answer: A
11 parts = Rs. 80,000
1 part = Rs. 7272.73
B's income = 20 parts = Rs. 145454.55
Answer = Rs. 145454.55
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 180 and 270 years old. What was their age ratio 5 years ago?
A. 18:12
B. 12:18
C. 2:3
D. 35:53
Correct Answer: D
5 years ago: A = 175, B = 265
Ratio = 175:265 = 35:53
Answer = 35:53
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 154 and 224 years old. What was their age ratio 4 years ago?
A. 16:11
B. 11:16
C. None of these 1
D. 15:22
Correct Answer: D
4 years ago: A = 150, B = 220
Ratio = 150:220 = 15:22
Answer = 15:22
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 130 and 182 years old. What will be their age ratio after 3 years?
A. 5:7
B. 133:185
C. 14:10
D. 10:14
Correct Answer: B
After 3 years: A = 133, B = 185
Ratio = 133:185 = 133:185
Answer = 133:185
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 108 and 144 years old. What will be their age ratio after 2 years?
A. 12:9
B. 55:73
C. 3:4
D. 9:12
Correct Answer: B
After 2 years: A = 110, B = 146
Ratio = 110:146 = 55:73
Answer = 55:73
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 101 and 143. If 13 is subtracted from each, what is their new ratio?
A. 44:65
B. 101:143
C. 88:130
D. 130:88
Correct Answer: A
New values: 101-13 = 88, 143-13 = 130
Ratio = 88:130
Simplified = 44:65
Answer = 44:65
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 97 and 138. If 12 is subtracted from each, what is their new ratio?
A. 126:85
B. 97:138
C. 85:126
D. None of these 1
Correct Answer: C
New values: 97-12 = 85, 138-12 = 126
Ratio = 85:126
Simplified = 85:126
Answer = 85:126
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 93 and 133. If 11 is added to each, what is their new ratio?
A. 93:133
B. 104:144
C. 13:18
D. 144:104
Correct Answer: C
New values: 93+11 = 104, 133+11 = 144
Ratio = 104:144
Simplified = 13:18
Answer = 13:18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 89 and 128. If 10 is added to each, what is their new ratio?
A. 89:128
B. 99:138
C. 33:46
D. 138:99
Correct Answer: C
New values: 89+10 = 99, 128+10 = 138
Ratio = 99:138
Simplified = 33:46
Answer = 33:46