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Ratio Questions and Answers

Q1 :

A sum of money is divided among A, B and C.  A receives 516frac{5}{16} of it, and B receives 712frac{7}{12}. How much does C get?

A
  

548frac{5}{48}

B
  

1516frac{15}{16}

C
  

34frac{3}{4}

D
  

116frac{1}{16}

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Q2 :

Divide Rs. 391 into three parts in proportion in to the fractions 12:23:34frac{1}{2}:frac{2}{3}:frac{3}{4}

A
  

153, 136, 102

B
  

136, 102, 153

C
  

102, 136, 153

D
  

102, 153, 136

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Q3 :

Two numbers add up to 20, and the difference between them is 2.5. What is the ratio between these two numbers?

A
  

3 : 5

B
  

2 : 7

C
  

45 : 31

D
  

7 : 9

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Q4 :

If 6 : 8 = 9 : xx; then xx is

A
  

9

B
  

35

C
  

15

D
  

12

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Q5 :

Find the ratio which 23frac{2}{3} of Rs. 12.60 bears to 0.6 of Rs. 21.

A
  

3 : 2

B
  

3 : 5

C
  

3 : 4

D
  

2 : 3

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Q6 :

Divide Rs. 225 into parts such that one may be to other as 2 : 7

A
  

90, 135

B
  

45, 180

C
  

40, 185

D
  

50, 175

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Q7 :

If 0.7 of one number be equal to 0.075 of another, the ratio of the two numbers is

A
  

28 : 3

B
  

2 : 27

C
  

3 : 35

D
  

3 : 28

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Q8 :

In a bag, coins of 50 paise, 25 paise, and one rupee are in the ratio of 5:6:2. If the total value of the coins is Rs. 42, how many 25-paise coins are there?

A
  

40

B
  

42

C
  

44

D
  

46

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Q9 :

Two numbers are in the ratio 3 : 7 and if 6 be added to each of them, they are 5 : 9, then the numbers are

A
  

6, 14

B
  

15, 35

C
  

9, 21

D
  

39, 91

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Q10 :

In a school, the ratio of teachers to students is 3:25. If the total count of teachers and students is 896, how many teachers are there in the school ?

A
  

32

B
  

64

C
  

90

D
  

96

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Q11 :

If 10% of xx is equal to 20% of yy, then x:yx:y is equal to

A
  

1:2

B
  

2:1

C
  

5:1

D
  

10:1

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Q12 :

If the ratio of two numbers is 1:5 and their product is 320, then the difference between the squares of these two numbers is :

A
  

1024

B
  

1256

C
  

1536

D
  

1435

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Q13 :

If 4x+3:9x+104x + 3 : 9x + 10 is the triplicate ratio of 3 : 4. Then, the value of xx is

A
  

2

B
  

6

C
  

8

D
  

12

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Q14 :

Find the compound ratio formed by the duplicate of 5:6, the reciprocal of 25:42, and the sub-duplicate of 36:49.

A
  

1 : 2

B
  

2 : 3

C
  

1 : 1

D
  

4 : 9

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Q15 :

The compounded ratio of 2a : 6b, 7a : 49b and 3a :12b is

A
  

a : 84b

B
  

a3^3  : 84b3^3

C
  

a : 24b

D
  

2a : 3b

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Q16 :

If x+5:3x+4x + 5 : 3x + 4 is the duplicate ratio of 5:85 : 8 , then the value of xx is

A
  

16

B
  

18

C
  

20

D
  

22

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Q17 :

The mean proportional between (2+3)(2 + sqrt{3}) and (848)(8 - sqrt{48})

A
  

2

B
  

3

C
  

4

D
  

5

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Q18 :

In a ratio which is equal to 7 : 8, if the antecedent is 35, then the consequent is

A
  

30     

B
  

32

C
  

36

D
  

40

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