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**Q.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?****(a)** 80 litres**(b)** 90 litres**(c)** 120 litres**(d)** 170 litres**Concept: **Direct Proportion**Ans.** Choice (c)

120 litres of diesel is required to travel 800 km using 1200 cc engine.**Q.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?****(a)** Rs.192**(b)** Rs.133**(c)** Rs.144**(d)** Rs.128**Concept:** Ratios and LCM**Ans. **Choice (c)

122 men**Q.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?****(a) **8 men**(b)** 2 men**(c) **122 men**(d)** 24 men**Concept:** Work and time**Ans. **Choice (c)

122 men**Q.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?****(a)** 48**(b)** 135**(c)** 24**(d) **None of these**Ans. **Choice (c)

24 times in 8 seconds**Q.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?****(a)** Rs.400 and Rs.500**(b)** Rs.240 and Rs.300**(c)** Rs.320 and Rs.400**(d)** Rs.440 and Rs.550**Ans. **Choice (a)

A's income Rs.400 and B's income Rs.500**Q.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****(a)** 2 : 1**(b)** 5 : 1**(c)** 99 : 61**(d)** 227 : 133**Concept:** Mixtures**Ans. **Choice (d)

Milk : Water :: 227 : 133**Q.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?****(a) **35**(b)** 30**(c) **28**(d)** 42**Concept:** Work and Time**Ans. **Choice (c)

28 workers worked to complete the job**Q.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?****(a)** 162**(b)** 108**(c)** 72**(d)** None of these**Concept:** Continued ratio**Ans. **Choice (a)

A made 162 runs**Q.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.****(a)** 120 & 210**(b)** 80 & 140**(c)** 180 & 300**(d)** 200 & 350**Ans. **Choice (d)

200 & 350**Q.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?****(a) **3500**(b)** 4000**(c)** 6000**(d)** None of these**Concept: **Ratio proportion**Ans. **Choice (b)

4000**Q.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.****(a)** 150**(b)** 200**(c)** 400**(d)** None of these**Concept:** Ratio and percentages**Ans. **Choice (b)

The total marks in the exam is 200**Q.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.****(a)** 42, 28**(b)** 36, 24**(c) **30, 20**(d)** 25, 15**Concept: **Word problem in ratios**Ans. **Choice (c)

Present ages of A and B are 30 and 20 respectively**Q.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?****(a)** 4888.88**(b)** 9333.33**(c)** 4000**(d)** 3666.66**Concept:** Ratio and Partnership**Ans. **Choice (a)

B gets Rs.4888.88**Q.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?****(a)** Rs.520**(b)** Rs.1080**(c)** Rs.1170**(d)** Rs.630**Ans. **Choice (a)

C's share is Rs.520**Q.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%?****(a)** 1**(b)** 2**(c)** 3**(d) **None of the subjects**Concept: **Ratio and percentages**Ans. **Choice (a)

He scored more than 60% in 1 subject**Q.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?****(a)** 16**(b)** 6**(c)** 24**(d)** 64**(e)** 32**Ans. **Choice (c)

The class has 24 girls**Q.17.**** ****The continued ratio of Rs.200, Rs.400 and Rs.600 is****(a) **2 : 4**(b)** 4 : 6**(c)** 6 : 2**(d) **2 : 4 : 6**(e)** 4 : 6 : 2**Concept: **Continued Ratio**Ans. **Choice (d)

The ratio is 2 : 4 : 6**Q.18.**** ****What is the value of x if 10/3 : x :: 5/2 : 5/4?****(a)** 2**(b) **8**(c)** 5/3**(d)** 10/3**(e)** 5/4**Ans. **Choice (c)

The value of x is 5/3

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55 videos|52 docs|72 tests

### Introduction to Ratio - Ratio and Proportion, Quantitative Aptitude

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### Problem Set 1 - Ratio and Proportion, Quantitative Aptitude

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### Problem Set 2 - Ratio and Proportion, Quantitative Aptitude

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- Test: Ratio And Proportion- 5
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