CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
14 men complete a job in 26 days, while 18 equally efficient men complete it in 20.22 days. What is the ratio of the two completion times?
A. 7:9
B. 2:3
C. 13:10
D. 1:1
Correct Answer: C
Completion times are 26 and 20.22 days.
Ratio = 26:20.22 = 13:10
Answer = 13:10
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 240 km and 370 km in the same time. What is the ratio of their speeds?
A. 3:2
B. 1:1
C. 24:37
D. 37:24
Correct Answer: C
For equal time, speed ratio = distance ratio.
= 240:370 = 24:37
Answer = 24:37
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 12 days and 15 days. What is the ratio of their work rates?
A. 5:4
B. 4:5
C. 2:3
D. 1:1
Correct Answer: A
Rate ∝ 1/Time
Rate ratio = 1/12 : 1/15 = 15:12
Simplified = 5:4
Answer = 5:4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 72 km/h and 105 km/h. What is the ratio of their travel times?
A. 1:1
B. 24:35
C. 35:24
D. 2:3
Correct Answer: C
For the same distance, time is inversely proportional to speed.
Time ratio = 105:72 = 35:24
Answer = 35:24
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 13:24. If water is 384 litres, how much acid is present?
A. 208 litres
B. 16 litres
C. 592 litres
D. 384 litres
Correct Answer: A
24 parts = 384 litres
1 part = 384 ÷ 24 = 16 litres
Acid = 13 × 16 = 208 litres
Answer = 208 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 12:23. If water is 345 litres, how much acid is present?
A. 525 litres
B. 180 litres
C. 345 litres
D. 15 litres
Correct Answer: B
23 parts = 345 litres
1 part = 345 ÷ 23 = 15 litres
Acid = 12 × 15 = 180 litres
Answer = 180 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 11:22 and total volume 462 litres. How many litres of milk are present?
A. 14 litres
B. 462 litres
C. 308 litres
D. 154 litres
Correct Answer: D
Total parts = 11+22 = 33
1 part = 462 ÷ 33 = 14 litres
Milk = 11 × 14 = 154 litres
Answer = 154 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 10:21 and total volume 403 litres. How many litres of milk are present?
A. 403 litres
B. 130 litres
C. 13 litres
D. 273 litres
Correct Answer: B
Total parts = 10+21 = 31
1 part = 403 ÷ 31 = 13 litres
Milk = 10 × 13 = 130 litres
Answer = 130 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 14:5. If monthly income is Rs. 92,500, how much is saved?
A. Rs. 23,125
B. Rs. 46,250
C. Rs. 24342.11
D. Rs. 92,500
Correct Answer: C
Total ratio parts = 14+5 = 19
Saving = 5/19 × Rs. 92,500
= Rs. 24342.11
Answer = Rs. 24342.11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 13:4. If monthly income is Rs. 90,000, how much is saved?
A. Rs. 90,000
B. Rs. 45,000
C. Rs. 21176.47
D. Rs. 22,500
Correct Answer: C
Total ratio parts = 13+4 = 17
Saving = 4/17 × Rs. 90,000
= Rs. 21176.47
Answer = Rs. 21176.47
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 13:23. If A earns Rs. 87,500, what is B's income?
A. Rs. 43,750
B. Rs. 21,875
C. Rs. 87,500
D. Rs. 154807.69
Correct Answer: D
13 parts = Rs. 87,500
1 part = Rs. 6730.77
B's income = 23 parts = Rs. 154807.69
Answer = Rs. 154807.69
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 12:22. If A earns Rs. 85,000, what is B's income?
A. Rs. 85,000
B. Rs. 155833.33
C. Rs. 42,500
D. Rs. 21,250
Correct Answer: B
12 parts = Rs. 85,000
1 part = Rs. 7083.33
B's income = 22 parts = Rs. 155833.33
Answer = Rs. 155833.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 208 and 304 years old. What was their age ratio 5 years ago?
A. 13:19
B. None of these 1
C. 19:13
D. 203:299
Correct Answer: D
5 years ago: A = 203, B = 299
Ratio = 203:299 = 203:299
Answer = 203:299
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 180 and 255 years old. What was their age ratio 4 years ago?
A. 12:17
B. 17:12
C. None of these 1
D. 176:251
Correct Answer: D
4 years ago: A = 176, B = 251
Ratio = 176:251 = 176:251
Answer = 176:251
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 154 and 210 years old. What will be their age ratio after 3 years?
A. 157:213
B. 15:11
C. 11:15
D. None of these 1
Correct Answer: A
After 3 years: A = 157, B = 213
Ratio = 157:213 = 157:213
Answer = 157:213
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 130 and 169 years old. What will be their age ratio after 2 years?
A. 44:57
B. 13:10
C. None of these 1
D. 10:13
Correct Answer: A
After 2 years: A = 132, B = 171
Ratio = 132:171 = 44:57
Answer = 44:57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 108 and 152. If 14 is subtracted from each, what is their new ratio?
A. 27:38
B. 138:94
C. 47:69
D. 94:138
Correct Answer: C
New values: 108-14 = 94, 152-14 = 138
Ratio = 94:138
Simplified = 47:69
Answer = 47:69
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 104 and 147. If 13 is subtracted from each, what is their new ratio?
A. 104:147
B. 134:91
C. None of these 1
D. 91:134
Correct Answer: D
New values: 104-13 = 91, 147-13 = 134
Ratio = 91:134
Simplified = 91:134
Answer = 91:134
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 100 and 142. If 12 is added to each, what is their new ratio?
A. 50:71
B. 112:154
C. 8:11
D. 154:112
Correct Answer: C
New values: 100+12 = 112, 142+12 = 154
Ratio = 112:154
Simplified = 8:11
Answer = 8:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 96 and 137. If 11 is added to each, what is their new ratio?
A. None of these 1
B. 148:107
C. 107:148
D. 96:137
Correct Answer: C
New values: 96+11 = 107, 137+11 = 148
Ratio = 107:148
Simplified = 107:148
Answer = 107:148