Quantitative Aptitude Questions 2

RATIO & PROPORTIONS

1. If A : B = 2 : 3 and B : C = 6 : 7 then A : B : C is

1) 2 : 3 : 4 2) 4 : 6 : 7 3) 7 : 3 : 2 4) 4 : 3 : 7 5) None of these

2. If A : B is 2 : 3 and B : C is 2 : 5 and C : D is 5 : 6 then A : B : C : D

1) 2 : 3 : 5 : 7 2) 7 : 5 : 6 : 10 3) 4 : 6 : 15 : 18 4) 18 : 6 : 15 : 4 5) None of these

3. Divide Rs 75 in the ratio 12 : 3

1) 25,50 2) 60,15 3) 42,33 4) 15,60 5) None of these

4. 12 : 15 :: X : 15 then the value of X is

1) 0.12 2) 12 3) 1.2 4) 120 5) None of these

5. The sum of two numbers which are in the ratio of 2 : 3 is 500.Find the numbers :

1) 300,200 2) 250,250 3) 150,350 4) 160,340 5) None of these

6. A : B = 3 : 5 B : C = 6 : 9 what is A : C

1) 9 : 12 2) 3 : 2 3) 31 : 20 4) 18 : 45 5) None of these

7. The sides of a triangle are in the ratio .

 ½ :1/3: 1/4If the perimeter is 104 cm. Find length of the smallest side.

1) 22 cm 2) 30 cm 3) 40 cm 4) 24 cm 5) None of these

8. The ratio of boys and girls in a school is 4 : 5. The defference between boys and girls is 50. Find the total

number of students.

1) 450 2) 150 3) 400 4) 900 5) None of these

9. Find the two numbers. If difference is 24 and the ratio between them is 7 : 13.

1) 28,52 2) 14,26 3) 52,28 4) 35,75 5) None of these

10. A,B and C collect 330 sweets among themselves and divide in the ratio 2 : 5 : 4. What is the difference in

shares of A and C ?

1) 46 2) 33 3) 212 4) 60 5) None of these

11. A has ¾ of what B has. B has1/2 

 of what C has. Find the ratio of money A,B, and C have.

1) 3 : 4 : 2 2) 3 : 4 : 8 3) 4 : 3 : 8 4) 8 : 4 : 3 5) None of these

12. The capitals of A and B were in the ratio 5 : 7. The periods for which they were in use were in the ratio       3 : 5.

Find the ratio of their profits.

1) 3 : 7 2) 12 : 15 3) 1 : 7 4) 7 : 3 5) None of these

13. The length and breadth of a rectangular hall are in the ratio of 5 : 3. If the area is 1215 sq metre. What is its

perimeter :

1) 1215 m 2) 440 m 3) 72 m 4) 144 m 5) None of these

14. The monthly income of A,B and C are in the ratio 2 : 3 : 7 of C's income is Rs 1200 more than that of B. What

is A'a annual income ?

1) 3600 2) 7200 3) 2400 4) 1500 5) None of these

15. Two numbers are in the ratio of 11 : 15. If 20 be added to each, the resultant are in the ratio of 15 : 19. The

numbers are

1) 55,75 2) 110,150 3) 75,65 4) 150,190 5) None of these

16. The sum of three numbers is 105. If the rates of the first to second is 2 : 5 and that of th second to the third

is 5 : 8 then the second number is

1) 20 2) 30 3) 35 4) 40 5) None of these

17. The length of a rectangular field is 3 times its breadth. The area is 2700 sq metre. Find its perimeter.

1) 150 m 2) 240 m 3) 90 m 4) 30 m 5) None of these

18. The present age of Hari and Anoop are in the ratio 8 : 7.15 years ago their age were in the ratio 5 : 4. What

is the present age of Hari ?

1) 45 2) 48 3) 53 4) 49 5) None of these

19. Three years ago the ratio of ages of Nazeer and Anish was 3 : 5. Three years hance it would be 5 : 7. How old

is Nazeer now ?

1) 6 2) 9 3) 18 4) 35 5) None of these

20. Asha is 4 times as old as her son. Five years ago she was 5 times as old as her son. How old is she now ?

1) 45 yrs 2) 52 yrs 3) 80 yrs 4) 20 yrs 5) None of these

21. Rajesh is 3 times older than Jisha. After six years their ages will be in the ratio 5 : 3. How old is      Jisha now ?

1) 9 yrs 2) 5 yrs 3) 3 yrs 4) 15 yrs 5) None of these

22. A box contains one rupee coins, 50 paise coins and 25 paise coins in the ratio 3 : 5 : 6. If there are 224 coine

in all, find the total amount.

1) 108 2) 96 3) 112 4) 124 5) 88

23. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5 : 7 : 9. If the total amount in bag is Rs 430

find the number of 25 paise coins

1) 200 2) 280 3) 360 4) 300 5) None of these

24. A mixture contains milk and water in the ratio 3 : 2. If 4 litre of water is addd to the mixture milk and water in

the mixture become equal. The quantity of milk in the mixture is

1) 18 2) 4 3) 6 4) 12 5) None of these

25. Two equal glasses are and full of milk respectively. The two are completely fulled up with water. The content

of the two glasses are then mixed in another vessel. The ratio of milk and water in the vessel is

1) 5 : 7 2) 7 : 5 3) 1 :1 4) 2 : 3 5) None of these

26. If A : B = 2 : 3 and B : C = 6 : 7 then A : B : C is

1) 2 : 3 : 4 2) 4 : 6 : 7 3) 7 : 3 : 2 4) 4 : 3 : 7 5) None of these

27. If A : B is 2 : 3 and B : C is 2 : 5 and C : D is 5 : 6 then A : B : C : D

1) 2 : 3 : 5 : 7 2) 7 : 5 : 6 : 10 3) 4 : 6 : 15 : 18 4) 18 : 6 : 15 : 4 5) None of these

28. Divide Rs.225 in the ratio 12 : 3

1) 45,180 2) 180,45 3) 160,65 4) 200,25 5) None of these

29. 13 : 39 :: X : 1.5, then the value of X is

1) 0.5 2) 0.05 3) 0.005 4) 0.015 5) None of these

30. The sum of two numbers which are in the ratio of 7 : 9 is 800. Find the numbers :

1) 500,400 2) 350,450 3) 450,350 4) 550,350 5) None of these

31. A : B = 3 : 5 and B : C = 6 : 9 what is A : C

1) 9 : 12 2) 3 : 2 3) 31 : 20 4) 18 : 45 5) None of these

32. The sides of a triangular plot are in the ratio .

2/3 :   4/5 :  6/7  If the perimeter is 408 m. Find length of the smallestside.

1) 180 m 2) 168 m 3) 140 m 4) 145 m 5) None of these

33. The ratio of boys and girls in a school is 3 : 7. The defference between boys and girls is 48. Find the total

number of students.

1) 150 2) 120 3) 240 4) 480 5) None of these

34. Find the two numbers, if difference between them is 48 and the ratio between them is 7 : 13.

1) 56,104 2) 28,52 3) 52,56 4) 70,150 5) None of these

35. A,B and C collect 550 sweets among themselves and divide in the ratio 13 : 5 : 4. What is the difference in

shares of A and C ?

1) 90 2) 135 3) 180 4) 216 5) None of these

36. A has¾ th of what B has. B has1/2 of what C has. Find the ratio of money A,B, and C have.

1) 3 : 4 : 2 2) 3 : 4 : 8 3) 4 : 3 : 8 4) 8 : 4 : 3 5) None of these

37. The capitals of A and B were in the ratio 2 : 5. The periods for which they were in use were in the ratio

 3 : 5.

Find the ratio of their profits.

1) 3 : 7 2) 2 : 3 3) 3 : 2 4) 7 : 3 5) None of these

38. The length and breadth of a rectangular hall are in the ratio of 7 : 3. If the area is 3024 sq metre. What is its

perimeter :

1) 210 m 2) 240 m 3) 480 m 4) 105 m 5) None of these

39. The monthly income of A,B and C are in the ratio 2 : 3 : 7. If 50%of C's income is Rs 1200 more than that of

B. What is A'a monthlyl income ?

1) Rs.3600 2) Rs.7200 3) Rs.2400 4) Rs.4800 5) None of these

40. Two numbers are in the ratio of 11 : 15. If 20 be added to each, the resultant are in the ratio of 3 : 4. The

numbers are

1) 55,75 2) 110,150 3) 220,300 4) 210,280 5) None of these

41. The sum of three numbers is 440. If the rates of the first to second is 9 : 5 and that of th second to the third

is 5 : 8 then the second number is

1) 80 2) 75 3) 100 4) 140 5) None of these

42. The length of a rectangular field is 3 times its breadth. The area is 2700 sq metre. Find its perimeter.

1) 150 m 2) 240 m 3) 90 m 4) 30 m 5) None of these

43. The present age of Raina and Sachin are in the ratio 8 : 7. 16 years ago their ages were in the ratio 4 : 3. What

is the present age of Hari ?

1) 30 yrs 2) 36 yrs 3) 32 yrs 4) 44 5) None of these

44. Three years ago the ratio of ages of Nazeer and Anish was 3 : 5. Three years hance it would be 5 : 7. How old

is Nazeer now ?

1) 6 2) 9 3) 18 4) 35 5) None of these

45. Asha is 3 times as old as her son. Five years ago she was 4 times as old as her son. How old is she now ?

1) 30 yrs 2) 32 yrs 3) 36 yrs 4) 48 yrs 5) None of these

46. Rajesh is 3 times older than Jisha. After six years their ages will be in the ratio 5 : 3. How old is

 Jisha now ?

1) 9 yrs 2) 5 yrs 3) 3 yrs 4) 15 yrs 5) None of these

47. A box contains one rupee coins, 50 paise coins and 25 paise coins in the ratio 4 : 5 : 7. If there are 480 coins

in all, find the total amount.

1) Rs.247.50 2) Rs.230.25 3) Rs.225 4) Rs.237.50 5) 88

48. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 4 : 5 : 7. If the total amount in the bag is

Rs 825, find the number of 25 paise coins

1) 300 2) 680 3) 360 4) 900 5) None of these

49. A mixture contains milk and water in the ratio 4 : 7. If 7.5 litres of water is added to the mixture, milk and

water in the mixture becomes equal. The quantity of milk in the mixture is

1) 35 lit 2) 17.5 lit 3) 5 4) Cannot be determined5) None of these

50. Two numbers are in the ratio of 2 : 3. When 5 is added to the first number and the same is subtracted from

the second number, the ratio is reversed. Find the smaller number.

1) 5 2) 10 3) 15 4) Cannot be determined   5) None of these

ANSWERS:

 1. 2

 2. 3

 3. 2

 4. 3

 5. 5

 6. 4

 7. 4

 8. 1

 9. 1

10. 4

11. 2

12. 1

13. 4

14. 2

15. 1

16. 3

17. 2

18. 5

19. 5

20. 3

21. 3

22. 3

23. 3

24. 4

25. 2

26. 2

27. 3

28. 2

29. 1

30. 2

31. 4

32. 5

33. 2

34. 1

35. 5

36. 1

37. 5

38. 2

39. 4

40. 3

41. 3

42. 2

43. 3

44. 5

45. 3

46. 3

47. 1

48. 5

49. 5

50. 2