CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
11 men complete a job in 23 days, while 15 equally efficient men complete it in 16.87 days. What is the ratio of the two completion times?
A. 11:15
B. 1:1
C. 23:17
D. 2:3
Correct Answer: C
Completion times are 23 and 16.87 days.
Ratio = 23:16.87 = 23:17
Answer = 23:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 195 km and 310 km in the same time. What is the ratio of their speeds?
A. 39:62
B. 3:2
C. 1:1
D. 62:39
Correct Answer: A
For equal time, speed ratio = distance ratio.
= 195:310 = 39:62
Answer = 39:62
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 9 days and 12 days. What is the ratio of their work rates?
A. 3:4
B. 1:1
C. 4:3
D. 2:3
Correct Answer: C
Rate ∝ 1/Time
Rate ratio = 1/9 : 1/12 = 12:9
Simplified = 4:3
Answer = 4:3
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 60 km/h and 90 km/h. What is the ratio of their travel times?
A. 3:2
B. None of these 1
C. 1:1
D. 2:3
Correct Answer: A
For the same distance, time is inversely proportional to speed.
Time ratio = 90:60 = 3:2
Answer = 3:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 10:18. If water is 234 litres, how much acid is present?
A. 234 litres
B. 13 litres
C. 364 litres
D. 130 litres
Correct Answer: D
18 parts = 234 litres
1 part = 234 ÷ 18 = 13 litres
Acid = 10 × 13 = 130 litres
Answer = 130 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 9:17. If water is 204 litres, how much acid is present?
A. 312 litres
B. 12 litres
C. 108 litres
D. 204 litres
Correct Answer: C
17 parts = 204 litres
1 part = 204 ÷ 17 = 12 litres
Acid = 9 × 12 = 108 litres
Answer = 108 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 8:16 and total volume 264 litres. How many litres of milk are present?
A. 11 litres
B. 264 litres
C. 88 litres
D. 176 litres
Correct Answer: C
Total parts = 8+16 = 24
1 part = 264 ÷ 24 = 11 litres
Milk = 8 × 11 = 88 litres
Answer = 88 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 7:15 and total volume 220 litres. How many litres of milk are present?
A. 10 litres
B. 220 litres
C. 150 litres
D. 70 litres
Correct Answer: D
Total parts = 7+15 = 22
1 part = 220 ÷ 22 = 10 litres
Milk = 7 × 10 = 70 litres
Answer = 70 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 11:5. If monthly income is Rs. 77,500, how much is saved?
A. Rs. 38,750
B. Rs. 19,375
C. Rs. 77,500
D. Rs. 24218.75
Correct Answer: D
Total ratio parts = 11+5 = 16
Saving = 5/16 × Rs. 77,500
= Rs. 24218.75
Answer = Rs. 24218.75
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 10:4. If monthly income is Rs. 75,000, how much is saved?
A. Rs. 21428.57
B. Rs. 37,500
C. Rs. 75,000
D. Rs. 18,750
Correct Answer: A
Total ratio parts = 10+4 = 14
Saving = 4/14 × Rs. 75,000
= Rs. 21428.57
Answer = Rs. 21428.57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 10:17. If A earns Rs. 72,500, what is B's income?
A. Rs. 72,500
B. Rs. 123,250
C. Rs. 36,250
D. Rs. 18,125
Correct Answer: B
10 parts = Rs. 72,500
1 part = Rs. 7,250
B's income = 17 parts = Rs. 123,250
Answer = Rs. 123,250
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 9:16. If A earns Rs. 70,000, what is B's income?
A. Rs. 35,000
B. Rs. 17,500
C. Rs. 124444.44
D. Rs. 70,000
Correct Answer: C
9 parts = Rs. 70,000
1 part = Rs. 7777.78
B's income = 16 parts = Rs. 124444.44
Answer = Rs. 124444.44
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 130 and 208 years old. What was their age ratio 5 years ago?
A. 5:8
B. 125:203
C. 16:10
D. 10:16
Correct Answer: B
5 years ago: A = 125, B = 203
Ratio = 125:203 = 125:203
Answer = 125:203
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 108 and 168 years old. What was their age ratio 4 years ago?
A. 26:41
B. 14:9
C. None of these 1
D. 9:14
Correct Answer: A
4 years ago: A = 104, B = 164
Ratio = 104:164 = 26:41
Answer = 26:41
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 88 and 132 years old. What will be their age ratio after 3 years?
A. 12:8
B. 8:12
C. 2:3
D. 91:135
Correct Answer: D
After 3 years: A = 91, B = 135
Ratio = 91:135 = 91:135
Answer = 91:135
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 70 and 100 years old. What will be their age ratio after 2 years?
A. 7:10
B. None of these 1
C. 10:7
D. 12:17
Correct Answer: D
After 2 years: A = 72, B = 102
Ratio = 72:102 = 12:17
Answer = 12:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 87 and 125. If 11 is subtracted from each, what is their new ratio?
A. 2:3
B. 87:125
C. 114:76
D. 76:114
Correct Answer: A
New values: 87-11 = 76, 125-11 = 114
Ratio = 76:114
Simplified = 2:3
Answer = 2:3
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 83 and 120. If 10 is subtracted from each, what is their new ratio?
A. 110:73
B. 83:120
C. None of these 1
D. 73:110
Correct Answer: D
New values: 83-10 = 73, 120-10 = 110
Ratio = 73:110
Simplified = 73:110
Answer = 73:110
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 79 and 115. If 9 is added to each, what is their new ratio?
A. 79:115
B. 22:31
C. 88:124
D. 124:88
Correct Answer: B
New values: 79+9 = 88, 115+9 = 124
Ratio = 88:124
Simplified = 22:31
Answer = 22:31
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 75 and 110. If 8 is added to each, what is their new ratio?
A. 118:83
B. 83:118
C. 15:22
D. None of these 1
Correct Answer: B
New values: 75+8 = 83, 110+8 = 118
Ratio = 83:118
Simplified = 83:118
Answer = 83:118