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# Ratio Proportion Variation Practice Questions

Ratio Proportion Variation is a topic from which you could expect from one to two questions in the aptitude / quantitative reasoning section of TANCET, CAT, GMAT or GRE exams. These questions are usually easy and are quite often tested as word problems. Concepts tested include ratios, proportion, direct variation, inverse proportion, related but not in proportion, work time, wages, mixtures, rule of alligation, and partnership.

1. 60 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?

1. 80 litres
2. 90 litres
3. 120 litres
4. 170 litres

Concept: Direct Proportion

2. Rs.432 is divided among three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?

1. Rs.192
2. Rs.133
3. Rs.144
4. Rs.128

Concept: Ratios and LCM

3. If 20 men or 24 women or 40 boys can do a task in 12 days working for 8 hours a day, how many men working with 6 women and 2 boys take to do a task four times as big working for 5 hours a day for 12 days?

1. 8 men
2. 2 men
3. 122 men
4. 24 men

Concept: Work and time

4. Two cogged wheels of which one has 32 cogs and other has 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the former turn in 8 seconds?

1. 48
2. 135
3. 24
4. None of these
5. The monthly incomes of A and B are in the ratio 4 : 5, their expenses are in the ratio 5 : 6. If 'A' saves Rs.25 per month and 'B' saves Rs.50 per month, what are their respective incomes?

1. Rs.400 and Rs.500
2. Rs.240 and Rs.300
3. Rs.320 and Rs.400
4. Rs.440 and Rs.550
6. The proportion of milk and water in 3 samples is 2 : 1, 3 : 2 and 5 : 3. A mixture comprising equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is

1. 2 : 1
2. 5 : 1
3. 99 : 61
4. 227 : 133

Concept: Mixtures

7. A group of workers can do a piece of work in 24 days. However, as 7 of them were absent it took 30 days to complete the work. How many people actually worked on the job to complete it?

1. 35
2. 30
3. 28
4. 42

Concept: Work and Time

8. A, B and C play cricket. The ratio of the runs scored by A and B is 3 : 2. The ratio of the runs scored by B and C is 3 : 2. Together, they score 342 runs. How many runs did A make?

1. 162
2. 108
3. 72
4. None of these

Concept: Continued ratio

9. The monthly salaries of two persons are in the ratio of 4 : 7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3 : 5. Find their respective salaries.

1. 120 & 210
2. 80 & 140
3. 180 & 300
4. 200 & 350
10. A fort has provisions for 60 days. If after 15 days 500 men strengthen them and the food lasts 40 days longer, how many men are there in the fort?

1. 3500
2. 4000
3. 6000
4. None of these

Concept: Ratio proportion

11. The ratio of marks obtained by vinod and Basu is 6 : 5. If the combined average of their percentage is 68.75 and their sum of the marks is 275, find the total marks for which exam was conducted.

1. 150
2. 200
3. 400
4. None of these

Concept: Ratio and percentages

12. The present ages of A and B are as 6 : 4. Five years ago their ages were in the ratio 5 : 3. Find their present ages.

1. 42, 28
2. 36, 24
3. 30, 20
4. 25, 15

Concept: Word problem in ratios

13. A, B and C enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. A is a working partner and gets a fourth of the profit for his services and the remaining profit is divided among the three in the rate of their investments. What is the amount of profit that B gets if A gets a total of Rs. 8000?

1. 4888.88
2. 9333.33
3. 4000
4. 3666.66

Concept: Ratio and Partnership

14. A, B and C, each of them working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn Rs.2340, what will be C's share of the earnings?

1. Rs.520
2. Rs.1080
3. Rs.1170
4. Rs.630
15. The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?

1. 1
2. 2
3. 3
4. None of the subjects

Concept: Ratio and percentages

16. The ratio of boys to girls in a class is 5 : 3. The class has 16 more boys than girls. How many girls are there in the class?

17. The continued ratio of Rs.200, Rs.400 and Rs.600 is

1. 2 : 4
2. 4 : 6
3. 6 : 2
4. 2 : 4 : 6
5. 4 : 6 : 2

Concept: Continued Ratio

18. What is the value of x if $10 \over 3\\$ : x :: $5 \over 2 \\$ : $5 \over 4\\$?

1. 2
2. 8
3. $5 \over 3\\$
4. $10 \over 3\\$
5. $5 \over 4\\$

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