CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
9 men complete a job in 21 days, while 13 equally efficient men complete it in 14.54 days. What is the ratio of the two completion times?
A. 2:3
B. 9:13
C. 1:1
D. 7:5
Correct Answer: D
Completion times are 21 and 14.54 days.
Ratio = 21:14.54 = 7:5
Answer = 7:5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 165 km and 270 km in the same time. What is the ratio of their speeds?
A. 1:1
B. 11:18
C. 18:11
D. 3:2
Correct Answer: B
For equal time, speed ratio = distance ratio.
= 165:270 = 11:18
Answer = 11:18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 7 days and 10 days. What is the ratio of their work rates?
A. 2:3
B. 1:1
C. 10:7
D. 7:10
Correct Answer: C
Rate ∝ 1/Time
Rate ratio = 1/7 : 1/10 = 10:7
Simplified = 10:7
Answer = 10:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 52 km/h and 80 km/h. What is the ratio of their travel times?
A. 2:3
B. 1:1
C. 20:13
D. 13:20
Correct Answer: C
For the same distance, time is inversely proportional to speed.
Time ratio = 80:52 = 20:13
Answer = 20:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 8:14. If water is 154 litres, how much acid is present?
A. 11 litres
B. 242 litres
C. 154 litres
D. 88 litres
Correct Answer: D
14 parts = 154 litres
1 part = 154 ÷ 14 = 11 litres
Acid = 8 × 11 = 88 litres
Answer = 88 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 7:13. If water is 130 litres, how much acid is present?
A. 10 litres
B. 200 litres
C. 70 litres
D. 130 litres
Correct Answer: C
13 parts = 130 litres
1 part = 130 ÷ 13 = 10 litres
Acid = 7 × 10 = 70 litres
Answer = 70 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 6:12 and total volume 162 litres. How many litres of milk are present?
A. 108 litres
B. 54 litres
C. 9 litres
D. 162 litres
Correct Answer: B
Total parts = 6+12 = 18
1 part = 162 ÷ 18 = 9 litres
Milk = 6 × 9 = 54 litres
Answer = 54 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 5:11 and total volume 128 litres. How many litres of milk are present?
A. 128 litres
B. 8 litres
C. 88 litres
D. 40 litres
Correct Answer: D
Total parts = 5+11 = 16
1 part = 128 ÷ 16 = 8 litres
Milk = 5 × 8 = 40 litres
Answer = 40 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 9:5. If monthly income is Rs. 67,500, how much is saved?
A. Rs. 16,875
B. Rs. 33,750
C. Rs. 67,500
D. Rs. 24107.14
Correct Answer: D
Total ratio parts = 9+5 = 14
Saving = 5/14 × Rs. 67,500
= Rs. 24107.14
Answer = Rs. 24107.14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 8:4. If monthly income is Rs. 65,000, how much is saved?
A. Rs. 32,500
B. Rs. 21666.67
C. Rs. 65,000
D. Rs. 16,250
Correct Answer: B
Total ratio parts = 8+4 = 12
Saving = 4/12 × Rs. 65,000
= Rs. 21666.67
Answer = Rs. 21666.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 8:13. If A earns Rs. 62,500, what is B's income?
A. Rs. 101562.5
B. Rs. 62,500
C. Rs. 31,250
D. Rs. 15,625
Correct Answer: A
8 parts = Rs. 62,500
1 part = Rs. 7812.5
B's income = 13 parts = Rs. 101562.5
Answer = Rs. 101562.5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 7:12. If A earns Rs. 60,000, what is B's income?
A. Rs. 30,000
B. Rs. 60,000
C. Rs. 102857.14
D. Rs. 15,000
Correct Answer: C
7 parts = Rs. 60,000
1 part = Rs. 8571.43
B's income = 12 parts = Rs. 102857.14
Answer = Rs. 102857.14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 88 and 154 years old. What was their age ratio 5 years ago?
A. 83:149
B. 8:14
C. 14:8
D. 4:7
Correct Answer: A
5 years ago: A = 83, B = 149
Ratio = 83:149 = 83:149
Answer = 83:149
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 70 and 120 years old. What was their age ratio 4 years ago?
A. None of these 1
B. 7:12
C. 33:58
D. 12:7
Correct Answer: C
4 years ago: A = 66, B = 116
Ratio = 66:116 = 33:58
Answer = 33:58
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 54 and 90 years old. What will be their age ratio after 3 years?
A. 19:31
B. 3:5
C. 10:6
D. 6:10
Correct Answer: A
After 3 years: A = 57, B = 93
Ratio = 57:93 = 19:31
Answer = 19:31
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 40 and 64 years old. What will be their age ratio after 2 years?
A. 7:11
B. 8:5
C. None of these 1
D. 5:8
Correct Answer: A
After 2 years: A = 42, B = 66
Ratio = 42:66 = 7:11
Answer = 7:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 73 and 107. If 9 is subtracted from each, what is their new ratio?
A. 98:64
B. 64:98
C. 73:107
D. 32:49
Correct Answer: D
New values: 73-9 = 64, 107-9 = 98
Ratio = 64:98
Simplified = 32:49
Answer = 32:49
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 69 and 102. If 8 is subtracted from each, what is their new ratio?
A. 61:94
B. 94:61
C. None of these 1
D. 23:34
Correct Answer: A
New values: 69-8 = 61, 102-8 = 94
Ratio = 61:94
Simplified = 61:94
Answer = 61:94
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 65 and 97. If 7 is added to each, what is their new ratio?
A. 72:104
B. 104:72
C. 65:97
D. 9:13
Correct Answer: D
New values: 65+7 = 72, 97+7 = 104
Ratio = 72:104
Simplified = 9:13
Answer = 9:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 61 and 92. If 6 is added to each, what is their new ratio?
A. None of these 1
B. 67:98
C. 98:67
D. 61:92
Correct Answer: B
New values: 61+6 = 67, 92+6 = 98
Ratio = 67:98
Simplified = 67:98
Answer = 67:98