CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
8 men complete a job in 20 days, while 12 equally efficient men complete it in 13.33 days. What is the ratio of the two completion times?
A. 20:13
B. 2:3
C. 1:1
D. None of these 1
Correct Answer: A
Completion times are 20 and 13.33 days.
Ratio = 20:13.33 = 20:13
Answer = 20:13
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 150 km and 250 km in the same time. What is the ratio of their speeds?
A. 3:2
B. 5:3
C. 1:1
D. 3:5
Correct Answer: D
For equal time, speed ratio = distance ratio.
= 150:250 = 3:5
Answer = 3:5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 6 days and 9 days. What is the ratio of their work rates?
A. 3:2
B. 2:3
C. None of these 1
D. 1:1
Correct Answer: A
Rate ∝ 1/Time
Rate ratio = 1/6 : 1/9 = 9:6
Simplified = 3:2
Answer = 3:2
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 48 km/h and 75 km/h. What is the ratio of their travel times?
A. 1:1
B. 25:16
C. 16:25
D. 2:3
Correct Answer: B
For the same distance, time is inversely proportional to speed.
Time ratio = 75:48 = 25:16
Answer = 25:16
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 7:12. If water is 120 litres, how much acid is present?
A. 10 litres
B. 190 litres
C. 70 litres
D. 120 litres
Correct Answer: C
12 parts = 120 litres
1 part = 120 ÷ 12 = 10 litres
Acid = 7 × 10 = 70 litres
Answer = 70 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 6:11. If water is 99 litres, how much acid is present?
A. 153 litres
B. 54 litres
C. 99 litres
D. 9 litres
Correct Answer: B
11 parts = 99 litres
1 part = 99 ÷ 11 = 9 litres
Acid = 6 × 9 = 54 litres
Answer = 54 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 5:10 and total volume 120 litres. How many litres of milk are present?
A. 8 litres
B. 120 litres
C. 40 litres
D. 80 litres
Correct Answer: C
Total parts = 5+10 = 15
1 part = 120 ÷ 15 = 8 litres
Milk = 5 × 8 = 40 litres
Answer = 40 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 4:9 and total volume 91 litres. How many litres of milk are present?
A. 91 litres
B. 28 litres
C. 7 litres
D. 63 litres
Correct Answer: B
Total parts = 4+9 = 13
1 part = 91 ÷ 13 = 7 litres
Milk = 4 × 7 = 28 litres
Answer = 28 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 8:5. If monthly income is Rs. 62,500, how much is saved?
A. Rs. 15,625
B. Rs. 62,500
C. Rs. 31,250
D. Rs. 24038.46
Correct Answer: D
Total ratio parts = 8+5 = 13
Saving = 5/13 × Rs. 62,500
= Rs. 24038.46
Answer = Rs. 24038.46
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 7:4. If monthly income is Rs. 60,000, how much is saved?
A. Rs. 15,000
B. Rs. 30,000
C. Rs. 60,000
D. Rs. 21818.18
Correct Answer: D
Total ratio parts = 7+4 = 11
Saving = 4/11 × Rs. 60,000
= Rs. 21818.18
Answer = Rs. 21818.18
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 7:11. If A earns Rs. 57,500, what is B's income?
A. Rs. 57,500
B. Rs. 90357.14
C. Rs. 14,375
D. Rs. 28,750
Correct Answer: B
7 parts = Rs. 57,500
1 part = Rs. 8214.29
B's income = 11 parts = Rs. 90357.14
Answer = Rs. 90357.14
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 6:10. If A earns Rs. 55,000, what is B's income?
A. Rs. 27,500
B. Rs. 13,750
C. Rs. 91666.67
D. Rs. 55,000
Correct Answer: C
6 parts = Rs. 55,000
1 part = Rs. 9166.67
B's income = 10 parts = Rs. 91666.67
Answer = Rs. 91666.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 70 and 130 years old. What was their age ratio 5 years ago?
A. 13:7
B. 7:13
C. 13:25
D. None of these 1
Correct Answer: C
5 years ago: A = 65, B = 125
Ratio = 65:125 = 13:25
Answer = 13:25
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 54 and 99 years old. What was their age ratio 4 years ago?
A. 6:11
B. 11:6
C. 10:19
D. None of these 1
Correct Answer: C
4 years ago: A = 50, B = 95
Ratio = 50:95 = 10:19
Answer = 10:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 40 and 72 years old. What will be their age ratio after 3 years?
A. 43:75
B. None of these 1
C. 9:5
D. 5:9
Correct Answer: A
After 3 years: A = 43, B = 75
Ratio = 43:75 = 43:75
Answer = 43:75
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 28 and 49 years old. What will be their age ratio after 2 years?
A. 10:17
B. 4:7
C. 7:4
D. None of these 1
Correct Answer: A
After 2 years: A = 30, B = 51
Ratio = 30:51 = 10:17
Answer = 10:17
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 66 and 98. If 8 is subtracted from each, what is their new ratio?
A. 29:45
B. 58:90
C. 90:58
D. 33:49
Correct Answer: A
New values: 66-8 = 58, 98-8 = 90
Ratio = 58:90
Simplified = 29:45
Answer = 29:45
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 62 and 93. If 7 is subtracted from each, what is their new ratio?
A. 55:86
B. 2:3
C. 86:55
D. None of these 1
Correct Answer: A
New values: 62-7 = 55, 93-7 = 86
Ratio = 55:86
Simplified = 55:86
Answer = 55:86
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 58 and 88. If 6 is added to each, what is their new ratio?
A. 32:47
B. 29:44
C. 94:64
D. 64:94
Correct Answer: A
New values: 58+6 = 64, 88+6 = 94
Ratio = 64:94
Simplified = 32:47
Answer = 32:47
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 54 and 83. If 5 is added to each, what is their new ratio?
A. None of these 1
B. 54:83
C. 88:59
D. 59:88
Correct Answer: D
New values: 54+5 = 59, 83+5 = 88
Ratio = 59:88
Simplified = 59:88
Answer = 59:88