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Cocubes Ratio’s and Proportions Questions with Answers

Question 1

Time: 00:00:00
A mixture of 40 liters of salt and water contains 70%of salts. how much water must be added to decrease the salt percentage to 40%?

40 liters

40 liters

30 liters

30 liters

20 liters

20 liters

2 liters

2 liters

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70 % salt = 28 L 28 L salt = 40 % of total new (added) solution Newly added solution = 70 L 70 L -40 L = 30 L

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Question 2

Time: 00:00:00
Rs 5000 was divided among 5 men, 6 women and 5 boys, such that the ratio of the shares of men, women, and boys is 5:3:2 what is the share of the boy?

200

200

100

100

250

250

150

150

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Question 3

Time: 00:00:00
What is the ratio of the surface area formed by placing 3 cubes adjacently to the sum of the individual surface area of these 3 cubes?

7:9

7:9

27:23

27:23

49:81

49:81

8:9

8:9

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It is adjacent. 5a2 is wrong. It must be 4a2.

S.A. of a cube = 6a² S.A. of 3 cubes = 18a² S.A. of three cubes placing adjacent each other = 2(3a²+a²+3a²)= 14a² Ratio= 14/18 = 7:9

Wrong Explanation given....

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Question 4

Time: 00:00:00
The salary of Ramu is 3 times the salary of Raju's salary increases by 20% every month &ramu's salary decreases by 10% every month, what is the ratio of the salary of Raju to Ramu after 2 months?

15:24

15:24

17:28

17:28

14:23

14:23

16:27

16:27

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let us assume the salary of raju is 100 so ramu salary will be 300 as per the condition on 1st month the salary of raju will be 120 as 20% increase in salary on 1st month the salary of ramu will be 270 as their is decrese of 10%in the salary on 2nd month the salary of raju will be 144 on second month the salary of ramu will be 243 144:243=16:27

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Question 5

Time: 00:00:00
A sum of RS. 5000 was divided among P, Q, and R in the ratio 2:3:5. If the amount of RS.500 was added to each, what will be their new ratio?

3:4:6

3:4:6

3:5:4

3:5:4

3:4:5

3:4:5

2:3:4

2:3:4

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share of p :- (2/10)*5000=1000 share of q :- (3/10)*5000=1500 share of r :- (5/10)*5000=2500 after adding Rs. 500 to each the new amount of p:q:r will be 1500:2000:3000 so new ratio will be 3:4:6

2/10*5000=1000+500 3/10*5000=1500+500 5/10*5000=2500+500 1500:2000:3000=3:4:6

Total sum of money=5500 Divided among P,Q,R in ratio= 2:3:5 Share of P=(5000*2)/10=1000 Share of Q=(5000*3)/10=1500 Share of R=(5000*5)/10=2500 Now, RS. 500 is added to each then their share becomes: P=1500,Q=2000,R=3000 Their ratio= 1500:2000:3000 =3:4:6

8

Ratios sum : 2+3+5=10 1st (2/10)*100=1000+extra 500=1500 2nd (3/10)*100=1500+extra 500=2000 3rd (5/10)*100=2500+extra 500=3000 new ratios=1500:2000:3000=3:4:6

Define x: Let x be the constant ratio Ratio =  2x : 3x : 5x Solve x: 2x + 3x + 5x = 5000 10x = 5000 x = 500 Find the shares: 2x = 2(500) = 1000 3x = 3(500) = 1500 5x = 5(500) = 2500 Find the shares after increase: 2x + 500 = 1000 + 500 = 1500 3x + 500 = 1500 + 500 = 2000 5x + 500 = 2500 + 500 = 3000 Find their new ratio: Ratio = 1500 : 2000 : 3000 Simplify by dividing by 500 : Ratio = 3 : 4 : 6

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Question 6

Time: 00:00:00
There are two vessels which are filled with the milk of two quantities worth RS.10 per litre and RS. 11 per litre . in what approximate ratio these two be mixed to get a new quality of milk of worth RS.10.6 litre?

1:3

1:3

1:2

1:2

2:3

2:3

2:1

2:1

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Don\'t understand

option verification 2*10+3*11=53 53/(2+3)=10.6 litres

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Question 7

Time: 00:00:00
The sum of three numbers is 98. If the ratio of first to second is 2:3 and that of the second to the third is 5:8 then the second number is :

25

25

30

30

40

40

45

45

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A/B=2/3=>A=(2/3)*B; B/C=5/8=>C=(8/5)*B; A:B:C=(2/3)B:B:(8/5)B =>10:15:24 NOW, Sum=98 A+B+C=98 10X+15X=24X=98 X=2 B=2*15=30. 30 ans.

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Question 8

Time: 00:00:00
A mixture of 66 litres contains whisky and water in the ratio 4:7 how many litres of whisky and water each must be added to the mixture to make the ratio 2:3?

10

10

6

6

12

12

18

18

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Question 9

Time: 00:00:00
Find the value of “x” if 10/3 : x :: 5/2 : 5/4

2/5

2/5

5/3

5/3

1/5

1/5

3/5

3/5

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10/3:x=5/2:5/4 10/3*1/x=5/2*4/5 x=(10*2*5)/(3*5*4)

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