CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
12 men complete a job in 24 days, while 16 equally efficient men complete it in 18 days. What is the ratio of the two completion times?
A. 1:1
B. 4:3
C. 2:3
D. 3:4
Correct Answer: B
Completion times are 24 and 18 days.
Ratio = 24:18 = 4:3
Answer = 4:3
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 210 km and 330 km in the same time. What is the ratio of their speeds?
A. 7:11
B. 11:7
C. 3:2
D. 1:1
Correct Answer: A
For equal time, speed ratio = distance ratio.
= 210:330 = 7:11
Answer = 7:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 10 days and 13 days. What is the ratio of their work rates?
A. 10:13
B. 2:3
C. 1:1
D. 13:10
Correct Answer: D
Rate ∝ 1/Time
Rate ratio = 1/10 : 1/13 = 13:10
Simplified = 13:10
Answer = 13:10
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 64 km/h and 95 km/h. What is the ratio of their travel times?
A. 1:1
B. 95:64
C. 2:3
D. 64:95
Correct Answer: B
For the same distance, time is inversely proportional to speed.
Time ratio = 95:64 = 95:64
Answer = 95:64
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 11:20. If water is 280 litres, how much acid is present?
A. 434 litres
B. 280 litres
C. 14 litres
D. 154 litres
Correct Answer: D
20 parts = 280 litres
1 part = 280 ÷ 20 = 14 litres
Acid = 11 × 14 = 154 litres
Answer = 154 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 10:19. If water is 247 litres, how much acid is present?
A. 377 litres
B. 130 litres
C. 13 litres
D. 247 litres
Correct Answer: B
19 parts = 247 litres
1 part = 247 ÷ 19 = 13 litres
Acid = 10 × 13 = 130 litres
Answer = 130 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 9:18 and total volume 324 litres. How many litres of milk are present?
A. 12 litres
B. 324 litres
C. 216 litres
D. 108 litres
Correct Answer: D
Total parts = 9+18 = 27
1 part = 324 ÷ 27 = 12 litres
Milk = 9 × 12 = 108 litres
Answer = 108 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 8:17 and total volume 275 litres. How many litres of milk are present?
A. 187 litres
B. 275 litres
C. 11 litres
D. 88 litres
Correct Answer: D
Total parts = 8+17 = 25
1 part = 275 ÷ 25 = 11 litres
Milk = 8 × 11 = 88 litres
Answer = 88 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 12:5. If monthly income is Rs. 82,500, how much is saved?
A. Rs. 41,250
B. Rs. 20,625
C. Rs. 82,500
D. Rs. 24264.71
Correct Answer: D
Total ratio parts = 12+5 = 17
Saving = 5/17 × Rs. 82,500
= Rs. 24264.71
Answer = Rs. 24264.71
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 11:4. If monthly income is Rs. 80,000, how much is saved?
A. Rs. 40,000
B. Rs. 80,000
C. Rs. 21333.33
D. Rs. 20,000
Correct Answer: C
Total ratio parts = 11+4 = 15
Saving = 4/15 × Rs. 80,000
= Rs. 21333.33
Answer = Rs. 21333.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 11:19. If A earns Rs. 77,500, what is B's income?
A. Rs. 77,500
B. Rs. 19,375
C. Rs. 38,750
D. Rs. 133863.64
Correct Answer: D
11 parts = Rs. 77,500
1 part = Rs. 7045.45
B's income = 19 parts = Rs. 133863.64
Answer = Rs. 133863.64
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 10:18. If A earns Rs. 75,000, what is B's income?
A. Rs. 18,750
B. Rs. 37,500
C. Rs. 75,000
D. Rs. 135,000
Correct Answer: D
10 parts = Rs. 75,000
1 part = Rs. 7,500
B's income = 18 parts = Rs. 135,000
Answer = Rs. 135,000
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 154 and 238 years old. What was their age ratio 5 years ago?
A. 17:11
B. 149:233
C. None of these 1
D. 11:17
Correct Answer: B
5 years ago: A = 149, B = 233
Ratio = 149:233 = 149:233
Answer = 149:233
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 130 and 195 years old. What was their age ratio 4 years ago?
A. 126:191
B. 10:15
C. 2:3
D. 15:10
Correct Answer: A
4 years ago: A = 126, B = 191
Ratio = 126:191 = 126:191
Answer = 126:191
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 108 and 156 years old. What will be their age ratio after 3 years?
A. 37:53
B. 9:13
C. None of these 1
D. 13:9
Correct Answer: A
After 3 years: A = 111, B = 159
Ratio = 111:159 = 37:53
Answer = 37:53
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 88 and 121 years old. What will be their age ratio after 2 years?
A. None of these 1
B. 8:11
C. 30:41
D. 11:8
Correct Answer: C
After 2 years: A = 90, B = 123
Ratio = 90:123 = 30:41
Answer = 30:41
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 94 and 134. If 12 is subtracted from each, what is their new ratio?
A. 41:61
B. 122:82
C. 82:122
D. 47:67
Correct Answer: A
New values: 94-12 = 82, 134-12 = 122
Ratio = 82:122
Simplified = 41:61
Answer = 41:61
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 90 and 129. If 11 is subtracted from each, what is their new ratio?
A. 79:118
B. 30:43
C. None of these 1
D. 118:79
Correct Answer: A
New values: 90-11 = 79, 129-11 = 118
Ratio = 79:118
Simplified = 79:118
Answer = 79:118
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 86 and 124. If 10 is added to each, what is their new ratio?
A. 48:67
B. 96:134
C. 43:62
D. 134:96
Correct Answer: A
New values: 86+10 = 96, 124+10 = 134
Ratio = 96:134
Simplified = 48:67
Answer = 48:67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 82 and 119. If 9 is added to each, what is their new ratio?
A. None of these 1
B. 128:91
C. 91:128
D. 82:119
Correct Answer: C
New values: 82+9 = 91, 119+9 = 128
Ratio = 91:128
Simplified = 91:128
Answer = 91:128