CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
7 men complete a job in 19 days, while 11 equally efficient men complete it in 12.09 days. What is the ratio of the two completion times?
A. 7:11
B. 19:12
C. 2:3
D. 1:1
Correct Answer: B
Completion times are 19 and 12.09 days.
Ratio = 19:12.09 = 19:12
Answer = 19:12
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 135 km and 230 km in the same time. What is the ratio of their speeds?
A. 3:2
B. 27:46
C. 46:27
D. 1:1
Correct Answer: B
For equal time, speed ratio = distance ratio.
= 135:230 = 27:46
Answer = 27:46
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 5 days and 8 days. What is the ratio of their work rates?
A. 8:5
B. 1:1
C. 5:8
D. 2:3
Correct Answer: A
Rate ∝ 1/Time
Rate ratio = 1/5 : 1/8 = 8:5
Simplified = 8:5
Answer = 8:5
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 44 km/h and 70 km/h. What is the ratio of their travel times?
A. 35:22
B. 1:1
C. 2:3
D. 22:35
Correct Answer: A
For the same distance, time is inversely proportional to speed.
Time ratio = 70:44 = 35:22
Answer = 35:22
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 6:10. If water is 90 litres, how much acid is present?
A. 144 litres
B. 54 litres
C. 9 litres
D. 90 litres
Correct Answer: B
10 parts = 90 litres
1 part = 90 ÷ 10 = 9 litres
Acid = 6 × 9 = 54 litres
Answer = 54 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 5:9. If water is 72 litres, how much acid is present?
A. 72 litres
B. 8 litres
C. 40 litres
D. 112 litres
Correct Answer: C
9 parts = 72 litres
1 part = 72 ÷ 9 = 8 litres
Acid = 5 × 8 = 40 litres
Answer = 40 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 4:8 and total volume 84 litres. How many litres of milk are present?
A. 28 litres
B. 56 litres
C. 84 litres
D. 7 litres
Correct Answer: A
Total parts = 4+8 = 12
1 part = 84 ÷ 12 = 7 litres
Milk = 4 × 7 = 28 litres
Answer = 28 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 3:7 and total volume 60 litres. How many litres of milk are present?
A. 60 litres
B. 6 litres
C. 18 litres
D. 42 litres
Correct Answer: C
Total parts = 3+7 = 10
1 part = 60 ÷ 10 = 6 litres
Milk = 3 × 6 = 18 litres
Answer = 18 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 7:5. If monthly income is Rs. 57,500, how much is saved?
A. Rs. 23958.33
B. Rs. 57,500
C. Rs. 28,750
D. Rs. 14,375
Correct Answer: A
Total ratio parts = 7+5 = 12
Saving = 5/12 × Rs. 57,500
= Rs. 23958.33
Answer = Rs. 23958.33
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 6:4. If monthly income is Rs. 55,000, how much is saved?
A. Rs. 22,000
B. Rs. 27,500
C. Rs. 13,750
D. Rs. 55,000
Correct Answer: A
Total ratio parts = 6+4 = 10
Saving = 4/10 × Rs. 55,000
= Rs. 22,000
Answer = Rs. 22,000
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 6:9. If A earns Rs. 52,500, what is B's income?
A. Rs. 52,500
B. Rs. 13,125
C. Rs. 78,750
D. Rs. 26,250
Correct Answer: C
6 parts = Rs. 52,500
1 part = Rs. 8,750
B's income = 9 parts = Rs. 78,750
Answer = Rs. 78,750
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 5:8. If A earns Rs. 50,000, what is B's income?
A. Rs. 80,000
B. Rs. 25,000
C. Rs. 12,500
D. Rs. 50,000
Correct Answer: A
5 parts = Rs. 50,000
1 part = Rs. 10,000
B's income = 8 parts = Rs. 80,000
Answer = Rs. 80,000
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 54 and 108 years old. What was their age ratio 5 years ago?
A. 1:2
B. 6:12
C. 12:6
D. 49:103
Correct Answer: D
5 years ago: A = 49, B = 103
Ratio = 49:103 = 49:103
Answer = 49:103
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 40 and 80 years old. What was their age ratio 4 years ago?
A. 1:2
B. 5:10
C. 9:19
D. 10:5
Correct Answer: C
4 years ago: A = 36, B = 76
Ratio = 36:76 = 9:19
Answer = 9:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 28 and 56 years old. What will be their age ratio after 3 years?
A. 4:8
B. 31:59
C. 1:2
D. 8:4
Correct Answer: B
After 3 years: A = 31, B = 59
Ratio = 31:59 = 31:59
Answer = 31:59
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 18 and 36 years old. What will be their age ratio after 2 years?
A. 3:6
B. 1:2
C. 10:19
D. 6:3
Correct Answer: C
After 2 years: A = 20, B = 38
Ratio = 20:38 = 10:19
Answer = 10:19
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 59 and 89. If 7 is subtracted from each, what is their new ratio?
A. 26:41
B. 52:82
C. 59:89
D. 82:52
Correct Answer: A
New values: 59-7 = 52, 89-7 = 82
Ratio = 52:82
Simplified = 26:41
Answer = 26:41
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 55 and 84. If 6 is subtracted from each, what is their new ratio?
A. None of these 1
B. 55:84
C. 78:49
D. 49:78
Correct Answer: D
New values: 55-6 = 49, 84-6 = 78
Ratio = 49:78
Simplified = 49:78
Answer = 49:78
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 51 and 79. If 5 is added to each, what is their new ratio?
A. 56:84
B. 2:3
C. 84:56
D. 51:79
Correct Answer: B
New values: 51+5 = 56, 79+5 = 84
Ratio = 56:84
Simplified = 2:3
Answer = 2:3
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 47 and 74. If 4 is added to each, what is their new ratio?
A. 17:26
B. 78:51
C. 47:74
D. 51:78
Correct Answer: A
New values: 47+4 = 51, 74+4 = 78
Ratio = 51:78
Simplified = 17:26
Answer = 17:26