Aptitude - Ratio And Proportion

What is the ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is?

A.  5 : 1

B.  1 : 5

C.  5 : 2

D.  2 : 5

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A bag contains 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of 10p?

A.  206

B.  200

C.  360

D.  160

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In a class, there are 100 students and among them 40 are girls. What is the ratio of the number of boys to the number of girls?

A.  3 : 2

B.  2 : 3

C.  1 : 1

D.  3 : 4

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The Ratio of Science and Arts students in a college is 4:3. If 14 Science students shift to Arts then the ratio becomes 1:1. Find the total strength of students in both science and arts together

A.  196

B.  206

C.  296

D.  306

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If 0.75 : Z : : 5 : 8, then Z is equal to

A.  1.1

B.  1.2

C.  1.3

D.  1.4

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Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

A.  2 : 5

B.  3 : 5

C.  4 : 5

D.  7 : 5

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A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

A.  Rs. 460

B.  Rs. 484

C.  Rs. 550

D.  Rs. 664

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A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

A.  Rs. 500

B.  Rs. 1000

C.  Rs. 1500

D.  Rs. 2000

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Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

A.  2 : 3 : 4

B.  6 : 7 : 8

C.  6 : 8 : 9

D.  None of these

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In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quanity of water to be further added is:

A.  20 litres

B.  40 litres

C.  60 litres

D.  80 litres

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The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

A.  8 : 9

B.  17 : 18

C.  21 : 22

D.  Cannot be determined

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Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

A.  Rs. 17,000

B.  Rs. 20,000

C.  Rs. 25,500

D.  Rs. 38,000

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The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

A.  20

B.  30

C.  40

D.  50

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If Rs. 782 be divided into three parts, proportional to 1/2 : 2/3 : 3/4 then the first part is:

A.  Rs. 182

B.  Rs. 190

C.  Rs. 196

D.  Rs. 204

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The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

A.  3 : 3 : 10

B.  10 : 11 : 20

C.  23 : 33 : 60

D.  Cannot be determined

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If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

A.  2 : 5

B.  3 : 7

C.  5 : 3

D.  7 : 3

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The fourth proportional to 5, 8, 15 is:

A.  16

B.  20

C.  24

D.  28

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Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

A.  27

B.  30

C.  33

D.  36

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In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A.  50

B.  100

C.  150

D.  200

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Which of the following fractions is the smallest?

A.  13/16

B.  15/19

C.  17/21

D.  7/8

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If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

A.  2 : 7

B.  4 : 15

C.  8 : 15

D.  15 : 4

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Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio of their ages 3 : 5 ?

A.  5 years

B.  10 years

C.  20 years

D.  37 years

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Girish started a business investing Rs. 45,000. After 3 months, Vijay joined him with a capital of Rs. 60,000. After another 6 months, Ankush joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. What is Girish’s share of profit ?

A.  Rs. 5,500

B.  Rs. 6,000

C.  Rs. 6,600

D.  As. 5,900

E.  None of these

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If a/3 = b/4 = c/7, then a + b + c /c is equal to:

A.  7

B.  2

C.  1/2

D.  1/7

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Two whole numbers whose sum is 72 cannot be in the ratio:

A.  5 : 7

B.  3 : 5

C.  3 : 4

D.  4 : 5

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If 15% of x = 20% of y, then x : y is:

A.  3 :4

B.  4 : 3

C.  17 :16

D.  16 : 17

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If A : B =8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to:

A.  2 : 7

B.  4 : 15

C.  8 : 15

D.  15 : 4

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337.62 + 8.591 + 34.4 =?

A.  370.611

B.  380.511

C.  380.611

D.  426.97

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The ratio between the whole expenses on taxes for every year and the entire expenses on fuel and transports for every year is around

A.  8:56

B.  4:12

C.  3:78

D.  10:13

E.  5:78

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Which of the following fractions is less than 7/8 and greater than 1/3?

A.  1/4

B.  23/24

C.  11/12

D.  17/24

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