CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
15 men complete a job in 27 days, while 19 equally efficient men complete it in 21.32 days. What is the ratio of the two completion times?
A. 15:19
B. 2:3
C. 9:7
D. 1:1
Correct Answer: C
Completion times are 27 and 21.32 days.
Ratio = 27:21.32 = 9:7
Answer = 9:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 255 km and 390 km in the same time. What is the ratio of their speeds?
A. 1:1
B. 26:17
C. 3:2
D. 17:26
Correct Answer: D
For equal time, speed ratio = distance ratio.
= 255:390 = 17:26
Answer = 17:26
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 13 days and 16 days. What is the ratio of their work rates?
A. 16:13
B. 13:16
C. 1:1
D. 2:3
Correct Answer: A
Rate ∝ 1/Time
Rate ratio = 1/13 : 1/16 = 16:13
Simplified = 16:13
Answer = 16:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 76 km/h and 110 km/h. What is the ratio of their travel times?
A. 55:38
B. 2:3
C. 1:1
D. 38:55
Correct Answer: A
For the same distance, time is inversely proportional to speed.
Time ratio = 110:76 = 55:38
Answer = 55:38
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 14:26. If water is 442 litres, how much acid is present?
A. 17 litres
B. 442 litres
C. 680 litres
D. 238 litres
Correct Answer: D
26 parts = 442 litres
1 part = 442 ÷ 26 = 17 litres
Acid = 14 × 17 = 238 litres
Answer = 238 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 13:25. If water is 400 litres, how much acid is present?
A. 608 litres
B. 16 litres
C. 208 litres
D. 400 litres
Correct Answer: C
25 parts = 400 litres
1 part = 400 ÷ 25 = 16 litres
Acid = 13 × 16 = 208 litres
Answer = 208 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 12:24 and total volume 540 litres. How many litres of milk are present?
A. 360 litres
B. 15 litres
C. 540 litres
D. 180 litres
Correct Answer: D
Total parts = 12+24 = 36
1 part = 540 ÷ 36 = 15 litres
Milk = 12 × 15 = 180 litres
Answer = 180 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 11:23 and total volume 476 litres. How many litres of milk are present?
A. 154 litres
B. 14 litres
C. 322 litres
D. 476 litres
Correct Answer: A
Total parts = 11+23 = 34
1 part = 476 ÷ 34 = 14 litres
Milk = 11 × 14 = 154 litres
Answer = 154 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 15:5. If monthly income is Rs. 97,500, how much is saved?
A. Rs. 48,750
B. Rs. 24,375
C. None of these 1
D. Rs. 97,500
Correct Answer: B
Total ratio parts = 15+5 = 20
Saving = 5/20 × Rs. 97,500
= Rs. 24,375
Answer = Rs. 24,375
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 14:4. If monthly income is Rs. 95,000, how much is saved?
A. Rs. 95,000
B. Rs. 21111.11
C. Rs. 47,500
D. Rs. 23,750
Correct Answer: B
Total ratio parts = 14+4 = 18
Saving = 4/18 × Rs. 95,000
= Rs. 21111.11
Answer = Rs. 21111.11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 14:25. If A earns Rs. 92,500, what is B's income?
A. Rs. 46,250
B. Rs. 92,500
C. Rs. 165178.57
D. Rs. 23,125
Correct Answer: C
14 parts = Rs. 92,500
1 part = Rs. 6607.14
B's income = 25 parts = Rs. 165178.57
Answer = Rs. 165178.57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 13:24. If A earns Rs. 90,000, what is B's income?
A. Rs. 45,000
B. Rs. 90,000
C. Rs. 166153.85
D. Rs. 22,500
Correct Answer: C
13 parts = Rs. 90,000
1 part = Rs. 6923.08
B's income = 24 parts = Rs. 166153.85
Answer = Rs. 166153.85
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 238 and 340 years old. What was their age ratio 5 years ago?
A. 233:335
B. 14:20
C. 20:14
D. 7:10
Correct Answer: A
5 years ago: A = 233, B = 335
Ratio = 233:335 = 233:335
Answer = 233:335
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 208 and 288 years old. What was their age ratio 4 years ago?
A. None of these 1
B. 18:13
C. 51:71
D. 13:18
Correct Answer: C
4 years ago: A = 204, B = 284
Ratio = 204:284 = 51:71
Answer = 51:71
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 180 and 240 years old. What will be their age ratio after 3 years?
A. 3:4
B. 61:81
C. 16:12
D. 12:16
Correct Answer: B
After 3 years: A = 183, B = 243
Ratio = 183:243 = 61:81
Answer = 61:81
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 154 and 196 years old. What will be their age ratio after 2 years?
A. 11:14
B. 14:11
C. 26:33
D. None of these 1
Correct Answer: C
After 2 years: A = 156, B = 198
Ratio = 156:198 = 26:33
Answer = 26:33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 115 and 161. If 15 is subtracted from each, what is their new ratio?
A. 146:100
B. 100:146
C. 5:7
D. 50:73
Correct Answer: D
New values: 115-15 = 100, 161-15 = 146
Ratio = 100:146
Simplified = 50:73
Answer = 50:73
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 111 and 156. If 14 is subtracted from each, what is their new ratio?
A. None of these 1
B. 37:52
C. 142:97
D. 97:142
Correct Answer: D
New values: 111-14 = 97, 156-14 = 142
Ratio = 97:142
Simplified = 97:142
Answer = 97:142
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 107 and 151. If 13 is added to each, what is their new ratio?
A. 107:151
B. 164:120
C. 120:164
D. 30:41
Correct Answer: D
New values: 107+13 = 120, 151+13 = 164
Ratio = 120:164
Simplified = 30:41
Answer = 30:41
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 103 and 146. If 12 is added to each, what is their new ratio?
A. 115:158
B. None of these 1
C. 158:115
D. 103:146
Correct Answer: A
New values: 103+12 = 115, 146+12 = 158
Ratio = 115:158
Simplified = 115:158
Answer = 115:158