CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
10 men complete a job in 22 days, while 14 equally efficient men complete it in 15.71 days. What is the ratio of the two completion times?
A. 2:3
B. 1:1
C. 11:8
D. 5:7
Correct Answer: C
Completion times are 22 and 15.71 days.
Ratio = 22:15.71 = 11:8
Answer = 11:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 180 km and 290 km in the same time. What is the ratio of their speeds?
A. 18:29
B. 29:18
C. 1:1
D. 3:2
Correct Answer: A
For equal time, speed ratio = distance ratio.
= 180:290 = 18:29
Answer = 18:29
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 8 days and 11 days. What is the ratio of their work rates?
A. 1:1
B. 8:11
C. 11:8
D. 2:3
Correct Answer: C
Rate ∝ 1/Time
Rate ratio = 1/8 : 1/11 = 11:8
Simplified = 11:8
Answer = 11:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 56 km/h and 85 km/h. What is the ratio of their travel times?
A. 2:3
B. 85:56
C. 1:1
D. 56:85
Correct Answer: B
For the same distance, time is inversely proportional to speed.
Time ratio = 85:56 = 85:56
Answer = 85:56
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 9:16. If water is 192 litres, how much acid is present?
A. 192 litres
B. 12 litres
C. 300 litres
D. 108 litres
Correct Answer: D
16 parts = 192 litres
1 part = 192 ÷ 16 = 12 litres
Acid = 9 × 12 = 108 litres
Answer = 108 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 8:15. If water is 165 litres, how much acid is present?
A. 88 litres
B. 253 litres
C. 11 litres
D. 165 litres
Correct Answer: A
15 parts = 165 litres
1 part = 165 ÷ 15 = 11 litres
Acid = 8 × 11 = 88 litres
Answer = 88 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 7:14 and total volume 210 litres. How many litres of milk are present?
A. 70 litres
B. 10 litres
C. 210 litres
D. 140 litres
Correct Answer: A
Total parts = 7+14 = 21
1 part = 210 ÷ 21 = 10 litres
Milk = 7 × 10 = 70 litres
Answer = 70 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 6:13 and total volume 171 litres. How many litres of milk are present?
A. 171 litres
B. 9 litres
C. 117 litres
D. 54 litres
Correct Answer: D
Total parts = 6+13 = 19
1 part = 171 ÷ 19 = 9 litres
Milk = 6 × 9 = 54 litres
Answer = 54 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 10:5. If monthly income is Rs. 72,500, how much is saved?
A. Rs. 18,125
B. Rs. 24166.67
C. Rs. 36,250
D. Rs. 72,500
Correct Answer: B
Total ratio parts = 10+5 = 15
Saving = 5/15 × Rs. 72,500
= Rs. 24166.67
Answer = Rs. 24166.67
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 9:4. If monthly income is Rs. 70,000, how much is saved?
A. Rs. 70,000
B. Rs. 35,000
C. Rs. 21538.46
D. Rs. 17,500
Correct Answer: C
Total ratio parts = 9+4 = 13
Saving = 4/13 × Rs. 70,000
= Rs. 21538.46
Answer = Rs. 21538.46
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 9:15. If A earns Rs. 67,500, what is B's income?
A. Rs. 16,875
B. Rs. 112,500
C. Rs. 33,750
D. Rs. 67,500
Correct Answer: B
9 parts = Rs. 67,500
1 part = Rs. 7,500
B's income = 15 parts = Rs. 112,500
Answer = Rs. 112,500
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 8:14. If A earns Rs. 65,000, what is B's income?
A. Rs. 113,750
B. Rs. 32,500
C. Rs. 16,250
D. Rs. 65,000
Correct Answer: A
8 parts = Rs. 65,000
1 part = Rs. 8,125
B's income = 14 parts = Rs. 113,750
Answer = Rs. 113,750
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 108 and 180 years old. What was their age ratio 5 years ago?
A. 15:9
B. 103:175
C. 9:15
D. 3:5
Correct Answer: B
5 years ago: A = 103, B = 175
Ratio = 103:175 = 103:175
Answer = 103:175
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 88 and 143 years old. What was their age ratio 4 years ago?
A. 13:8
B. None of these 1
C. 84:139
D. 8:13
Correct Answer: C
4 years ago: A = 84, B = 139
Ratio = 84:139 = 84:139
Answer = 84:139
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 70 and 110 years old. What will be their age ratio after 3 years?
A. 7:11
B. 11:7
C. None of these 1
D. 73:113
Correct Answer: D
After 3 years: A = 73, B = 113
Ratio = 73:113 = 73:113
Answer = 73:113
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 54 and 81 years old. What will be their age ratio after 2 years?
A. 56:83
B. 2:3
C. 9:6
D. 6:9
Correct Answer: A
After 2 years: A = 56, B = 83
Ratio = 56:83 = 56:83
Answer = 56:83
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 80 and 116. If 10 is subtracted from each, what is their new ratio?
A. 20:29
B. 35:53
C. 106:70
D. 70:106
Correct Answer: B
New values: 80-10 = 70, 116-10 = 106
Ratio = 70:106
Simplified = 35:53
Answer = 35:53
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 76 and 111. If 9 is subtracted from each, what is their new ratio?
A. 76:111
B. 67:102
C. None of these 1
D. 102:67
Correct Answer: B
New values: 76-9 = 67, 111-9 = 102
Ratio = 67:102
Simplified = 67:102
Answer = 67:102
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 72 and 106. If 8 is added to each, what is their new ratio?
A. 114:80
B. 40:57
C. 80:114
D. 36:53
Correct Answer: B
New values: 72+8 = 80, 106+8 = 114
Ratio = 80:114
Simplified = 40:57
Answer = 40:57
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 68 and 101. If 7 is added to each, what is their new ratio?
A. 75:108
B. 108:75
C. 68:101
D. 25:36
Correct Answer: D
New values: 68+7 = 75, 101+7 = 108
Ratio = 75:108
Simplified = 25:36
Answer = 25:36