RATIOS

Q1. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of second to
the third is 5 : 8 then the second number is:
(a) 20 (b) 30 (c) 38 (d) 48 (e) 52

Q2. A bag contains Rs 1, 50 paisa and 25 paisa coins in the ratio of 3 : 4 : 8 respectively. If total value
of money in the bag is Rs 840. Find no. of 50 paisa coins in the bag.
(a) 380 (b) 520 (c) 480 (d) 460 (e) 420

Q3. Amit had ‘n chocolates. He distributed them among 4 children in the ratio 1/2:1/3:1/5:1/8. If he
gave them each one a complete chocolate, the minimum number of chocolates that he had?
(a) 139 (b) 240 (c) 278 (d) 149 (e) 129

Q4. The total number of students of a school was 660. The ratio between boys and girls was 13:9.
After some days, 30 girls joined the school and some boys left the school and new ratio between
boys and girls become 6 : 5. The number of boys who left the school is:
(a) 50 (b) 40 (c) 30 (d) 60 (e) 45

Q5. The students in three classes are the ratio 4 : 6 : 9. If 12 students are increased in each class, the
ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase
is:
(a) 95 (b) 76 (c) 100 (d) 114 (e) 116

Q6. The income of A and B are in the ratio 5:3. The expenses of A, B and C are in the ratio 5: 5 : 2. If C
spends Rs 2000 and B saves Rs. 700, then A saves
(a) Rs. 4500 (b) Rs. 1000 (c) Rs. 500 (d) Rs. 250 (e) Rs. 350

Q7. Rs. 180 contained in a box and number of one rupee, 50 paise and 25 paise coins in the ratio 2 :
3 : 4 respectively. What is the number of 50 paise coins?
(a) 60 (b) 120 (c) 150 (d)180 (e)140

Q8. A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk
and water becomes 5 : 2. The quantity of milk in the original mixture is.
(a) 16 litres (b) 25 litres (c) 22.75 litres (d) 32.5 litres
(e) None of these

Q9. An alloy contains copper, zinc and nickel in the ratio 5 : 3 : 2. The quantity of nickel in kg that
must be added to 100 kg of this alloy to have the new ratio 5 : 3 : 3, is
(a) 8 (b) 10 (c) 12 (d)15 (e) 18

Q10. The ratio of the ages of Ram and Rahim 10 years ago was 1 : 3. The ratio of their ages five years
hence will be 2 : 3. Then the ratio of their present ages is.
(a) 1 : 2 (b) 4 : 7 (c) 3 : 5 (d) 2 : 5 (e) 4 : 5

Q11. The price of book varies directly as the number of pages in it and inversely as the time periods
in years that have elapsed since the date of purchasing. Two books cost the same, however, the
number of pages in first book is triple of the second book. If the first book was sold 18 Years ago,
how long ago was the second book sold?
(a) 5 years (b) 9 years (c) 6 years (d) 3 years (e) 8 years

Q12. An amount of money is to be distributed among A, B and C in the ratio 3 : 1 : 5. The difference
between B’s and C’s share is Rs. 3600. What is the total of A’s and B’s share?
(a) Rs. 5400 (b) Rs. 3600 (c) Rs. 2700 (d) Rs. 1800 (e) Rs. 2400

Q13. In 30 litres mixture of acid, the ratio of acid and water is 2 : 3. What amount of water should be
added to the mixture so that the ratio of acid and water becomes 2 : 5?
(a) 10 litres (b) 15 litres (c) 18 litres (d) 12 litres (e) 24 litres

Q14. The salaries of A, B and C are in the ratio 1 : 3 : 4 . If the salaries are increased by 5 %, 10% and
15% respectively, then the increased salaries will be in the ratio:
(a) 20 : 66 : 95 (b) 21 : 66 : 95 (c) 21 : 66 : 92 (d) 19 : 66 : 92
(e) None of these

Q15. A certain number is divided into two parts such that 5 times of the first part added to 11 time
of the second part makes 7 time of the whole. The ratio of the first part to second part is:
(a) 2 : 1 (b) 5 : 11 (c) 7 : 5 (d) 2 : 3 (e) 3 : 5

Q16. The ratio of ages of Ravi and Sushant, four years before, was 2 : 3. After three years, the ratio
of their ages will be 3 : 4. What is the average of their present ages?
(a) 22 years (b) 21.5 years (c) 25 years (d) 22.5 years (e) 23 years

Q17. Rima’s, Rakhi’s and Sarita’s present salaries are in the ratio of 3 : 5 : 7. In the next year, their
salaries increases by 20%, 25% and 30% respectively, find the ratio of their salaries next year.
(a) 72 : 125 : 182 (b) 125 : 72 : 182 (c) 182 : 125 : 72 (d) 21 : 53 : 123
(e) None of these

Q18. The ratio between volume of a cylinder and a cone is 7 : 4. If diameter of cylinder is 33 1/3%
more than that of cone then find the ratio of height of cylinder to that of cone.
(a) 11 : 17 (b) 17 : 11 (c) 64 : 21 (d) 21 : 64 (e) 57 : 37

Directions (19-20): Read the passage given below and answer the questions that follow:
Anshu gave Bobby and Chandan as many pens as each one of them (Bobby and Chandan) already
had. Then Chandan gave Anshu and Bobby as many pens as each (Anshu and Bobby) already had.
Now each had an equal number of pens. The total number of pens is 72.

Q19. How many pens did Bobby have initially?

Q20. How many pens did Chandan have initially?

Q21. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of second
to the third is 5 : 8 then the second numbers is :
(a) 20 (b) 30 (c) 38 (d) 48 (e) 45
Q22. Ratio of numerator and denominator of a fraction is 2 : 3. If 6 is subtracted from numerator
than result is 2/3 rd of the original fraction. Find the numerator of original fraction.
(a) 6 (b) 18 (c) 27 (d) 26 (e) 21

Q23. The total number of students of a school was 660. The ratio between boys and girls was 13 : 9.
After some days, 30 girls joined the school and some boys left the school and new ratio between
boys and girls became 6 : 5. Find the number of boys who left the school.
(a) 50 (b) 40 (c) 20 (d) 60 (e) 30

Q24. Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5
: 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000. My
total savings for the two years is:
(a) Nil (b) Rs. 15000 (c) Rs. 10000 (d) Rs. 5000 (e) None of these

Q25. At the start of a movie in PVR, the ratio of the number of male audience to the number of
female audience was 3 : 1. During the interval break 16 audience left (in the same ratio as they have
entered into the cinema hall) and 6 more female audience came into the cinema hall. The ratio of
the male to the female audience become 2 : 1. What was the total number of audience at the start
of the movie?
(a) 64 (b) 48 (c) 54 (d) 72 (e) 68

Q26. A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of
milk to water becomes 5 : 2. Find quantity of milk in the original mixture.
(a) 16 litres (b) 25 litres (c) 22.75 litres (d) 32.5 litres (e) 30 litres

Q27. In express train, the number of passengers travelling in AC 1st class, AC 2nd class and Sleeper
class are in the ratio 1 : 2 : 3 and the fares to each of these classes are in the ratio 5 : 4 : 2. If the total
income from this train is Rs. 57000, then the income from the AC 1st class is :
(a) Rs. 8000 (b) Rs. 15000 (c) Rs. 10000 (d) Rs. 6000 (e) None of these

Q28. The expenses of a hotel consist of two parts. One part varies with the number of inmates while
the other is constant. When the number of inmates is 200 and 250, the expenses are respectively Rs.
1300 and Rs. 1600. Then, the expenses for 300 inmates are:
(a) Rs. 1800 (b) Rs. 1900 (c) Rs. 2000 (d) Rs. 2100 (e) Rs. 2300

Q29. A precious stone weighing 35 grams worth Rs 12,250 is accidently dropped and gets broken
into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight
then find the loss due to breaking of stone?
(a) Rs 5750 (b) Rs 6000 (c) Rs 5500 (d) Rs 5000 (e) Rs. 5200