CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
6 men complete a job in 18 days, while 10 equally efficient men complete it in 10.8 days. What is the ratio of the two completion times?
A. 18:11
B. 3:5
C. 1:1
D. 2:3
Correct Answer: A
Completion times are 18 and 10.8 days.
Ratio = 18:10.8 = 18:11
Answer = 18:11
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two vehicles cover 120 km and 210 km in the same time. What is the ratio of their speeds?
A. 3:2
B. 1:1
C. 7:4
D. 4:7
Correct Answer: D
For equal time, speed ratio = distance ratio.
= 120:210 = 4:7
Answer = 4:7
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two workers can individually finish the same job in 4 days and 7 days. What is the ratio of their work rates?
A. 1:1
B. 2:3
C. 4:7
D. 7:4
Correct Answer: D
Rate ∝ 1/Time
Rate ratio = 1/4 : 1/7 = 7:4
Simplified = 7:4
Answer = 7:4
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two cars cover the same distance at 40 km/h and 65 km/h. What is the ratio of their travel times?
A. 8:13
B. 13:8
C. 1:1
D. 2:3
Correct Answer: B
For the same distance, time is inversely proportional to speed.
Time ratio = 65:40 = 13:8
Answer = 13:8
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 5:8. If water is 64 litres, how much acid is present?
A. 40 litres
B. 64 litres
C. 8 litres
D. 104 litres
Correct Answer: A
8 parts = 64 litres
1 part = 64 ÷ 8 = 8 litres
Acid = 5 × 8 = 40 litres
Answer = 40 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Acid and water are mixed in the ratio 4:7. If water is 49 litres, how much acid is present?
A. 77 litres
B. 28 litres
C. 49 litres
D. 7 litres
Correct Answer: B
7 parts = 49 litres
1 part = 49 ÷ 7 = 7 litres
Acid = 4 × 7 = 28 litres
Answer = 28 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 3:6 and total volume 54 litres. How many litres of milk are present?
A. 6 litres
B. 54 litres
C. 18 litres
D. 36 litres
Correct Answer: C
Total parts = 3+6 = 9
1 part = 54 ÷ 9 = 6 litres
Milk = 3 × 6 = 18 litres
Answer = 18 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A milk-water mixture has ratio 2:5 and total volume 35 litres. How many litres of milk are present?
A. 25 litres
B. 35 litres
C. 5 litres
D. 10 litres
Correct Answer: D
Total parts = 2+5 = 7
1 part = 35 ÷ 7 = 5 litres
Milk = 2 × 5 = 10 litres
Answer = 10 litres
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 6:5. If monthly income is Rs. 52,500, how much is saved?
A. Rs. 26,250
B. Rs. 13,125
C. Rs. 23863.64
D. Rs. 52,500
Correct Answer: C
Total ratio parts = 6+5 = 11
Saving = 5/11 × Rs. 52,500
= Rs. 23863.64
Answer = Rs. 23863.64
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A person's expenditure and saving are in the ratio 5:4. If monthly income is Rs. 50,000, how much is saved?
A. Rs. 50,000
B. Rs. 25,000
C. Rs. 12,500
D. Rs. 22222.22
Correct Answer: D
Total ratio parts = 5+4 = 9
Saving = 4/9 × Rs. 50,000
= Rs. 22222.22
Answer = Rs. 22222.22
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 5:7. If A earns Rs. 47,500, what is B's income?
A. Rs. 23,750
B. Rs. 66,500
C. Rs. 11,875
D. Rs. 47,500
Correct Answer: B
5 parts = Rs. 47,500
1 part = Rs. 9,500
B's income = 7 parts = Rs. 66,500
Answer = Rs. 66,500
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
The incomes of A and B are in the ratio 4:6. If A earns Rs. 45,000, what is B's income?
A. Rs. 45,000
B. Rs. 11,250
C. Rs. 67,500
D. Rs. 22,500
Correct Answer: C
4 parts = Rs. 45,000
1 part = Rs. 11,250
B's income = 6 parts = Rs. 67,500
Answer = Rs. 67,500
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 40 and 88 years old. What was their age ratio 5 years ago?
A. 35:83
B. None of these 1
C. 11:5
D. 5:11
Correct Answer: A
5 years ago: A = 35, B = 83
Ratio = 35:83 = 35:83
Answer = 35:83
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 28 and 63 years old. What was their age ratio 4 years ago?
A. 4:9
B. 24:59
C. 9:4
D. None of these 1
Correct Answer: B
4 years ago: A = 24, B = 59
Ratio = 24:59 = 24:59
Answer = 24:59
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 18 and 42 years old. What will be their age ratio after 3 years?
A. 3:7
B. 7:3
C. None of these 1
D. 7:15
Correct Answer: D
After 3 years: A = 21, B = 45
Ratio = 21:45 = 7:15
Answer = 7:15
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
A and B are 10 and 25 years old. What will be their age ratio after 2 years?
A. 5:2
B. 2:5
C. 4:9
D. None of these 1
Correct Answer: C
After 2 years: A = 12, B = 27
Ratio = 12:27 = 4:9
Answer = 4:9
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 52 and 80. If 6 is subtracted from each, what is their new ratio?
A. 46:74
B. 74:46
C. 23:37
D. 13:20
Correct Answer: C
New values: 52-6 = 46, 80-6 = 74
Ratio = 46:74
Simplified = 23:37
Answer = 23:37
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 48 and 75. If 5 is subtracted from each, what is their new ratio?
A. None of these 1
B. 43:70
C. 70:43
D. 16:25
Correct Answer: B
New values: 48-5 = 43, 75-5 = 70
Ratio = 43:70
Simplified = 43:70
Answer = 43:70
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 44 and 70. If 4 is added to each, what is their new ratio?
A. 22:35
B. 24:37
C. 74:48
D. 48:74
Correct Answer: B
New values: 44+4 = 48, 70+4 = 74
Ratio = 48:74
Simplified = 24:37
Answer = 24:37
CSS - PMS - CCE - PCS - Mathematics
Ratio & Proportion
Two numbers are 40 and 65. If 3 is added to each, what is their new ratio?
A. 8:13
B. 68:43
C. None of these 1
D. 43:68
Correct Answer: D
New values: 40+3 = 43, 65+3 = 68
Ratio = 43:68
Simplified = 43:68
Answer = 43:68