# Ratio Proportion Variation Practice Questions

CRatio Proportion Variation is a topic from which you could expect from one to two questions in the XAT and the TANCET exams. Concepts covered include finding length of a line segment, finding slope of a line, framing equation of a line, finding the quadrants through which a line passes, intercepts of a line with the x and y axes, equation of a circle, area of a triangle, and coordinates of mid point of line segment.

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?

- 80 litres
- 90 litres
- 120 litres
- 170 litres

Rs.432 is divided amongst 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?

- Rs.192
- Rs.133
- Rs.144
- Rs.128

**Choice (3)**A gets Rs. 144. Correct answer- Explanatory answer
- Ratios and LCM
- Medium

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?

- 8 men
- 2 men
- 122 men
- 24 men

**Choice (3)**122 men. Correct answer- Explanatory answer
- Work and time
- Medium

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?

- 48
- 135
- 24
- None of these

**Choice (3)**24 times in 8 seconds. Correct answer- Explanatory answer
- Gear ratios
- Medium

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?

- Rs.400 and Rs.500
- Rs.240 and Rs.300
- Rs.320 and Rs.400
- Rs.440 and Rs.550

**Choice (1)**A's income Rs.400 and B's income Rs.500. Correct answer- Explanatory answer
- Ratio of incomes
- Easy

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

- 2 : 1
- 5 : 1
- 99 : 61
- 227 : 133

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?

- 35
- 30
- 28
- 42

**Choice (3)**28 workers worked to complete the job. Correct answer- Explanatory answer
- Work and Time
- Medium

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?

- 162
- 108
- 72
- None of these

**Choice (1)**A made 162 runs. Correct answer- Explanatory answer
- Continued ratio
- Medium

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.

- 120 & 210
- 80 & 140
- 180 & 300
- 200 & 350

**Choice (4)**200 & 350. Correct answer- Explanatory answer
- Simple ratios
- Easy

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?

- 3500
- 4000
- 6000
- None of these

**Choice (2)**4000. Correct answer- Explanatory answer
- Ratio proportion
- Medium

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.

- 150
- 200
- 400
- None of these

**Choice (2)**The total marks in the exam is 200. Correct answer- Explanatory answer
- Ratio and percentages
- Medium

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.

- 42, 28
- 36, 24
- 30, 20
- 25, 15

**Choice (3)**Present ages of A and B are 30 and 20 respectively. Correct answer- Explanatory answer
- Word problem in ratios
- Easy

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?

- 4888.88
- 9333.33
- 4000
- 3666.66

**Choice (1)**B gets Rs.4888.88. Correct answer- Explanatory answer
- Ratio and Partnership
- Hard

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?

- Rs.520
- Rs.1080
- Rs.1170
- Rs.630

**Choice (1)**C's share is Rs.520. Correct answer- Explanatory answer
- Ratio of wages
- Medium

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
- 2
- 3
- None of the subjects

**Choice (1)**He scored more than 60% in 1 subject. Correct answer- Explanatory answer
- Ratio and percentages
- Medium

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?

- 16
- 6
- 24
- 64
- 32

**Choice (3)**The class has 24 girls. Correct answer- Explanatory answer
- Simple ratios
- Easy

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

- 16
- 6
- 24
- 64
- 32

**Correct Answer**Choice (4).

The ratio is 2 : 4 : 6. Correct answer- Explanatory answer
- Continued Ratio
- Very Easy
- TANCET 2014

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

- 2
- 8
- \5 \over 3\\)
- \10 \over 3\\)
- \5 \over 4\\)

## XAT TANCET Practice Questions - Listed Topic wise

- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness