Find the fraction which bears the same ratio to 1/27 that 3/7 do

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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21.

Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9.

  • 5/9

  • 1/35

  • 45/7

  • 45/7


B.

1/35

Let the required fraction be x.
According to the question,

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22.

The ratio of numbers of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is

  • 12

  • 14

  • 24

  • 24

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23.

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one?

  • 16

  • 14

  • 13

  • 13

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24.

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture?

  • 7 : 13

  • 11 : 57

  • 23 : 37

  • 23 : 37

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25.

The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

  • 56

  • 78

  • 70

  • 70

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26.

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

  • 3 : 2

  • 2 : 3

  • 3 : 4

  • 3 : 4

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27.

An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is

  • 70 seconds

  • 50 seconds

  • 40 seconds

  • 40 seconds

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28.

A and B have their annual average income Rs. 80,000. B and C have their annual average income Rs. 75,000. C and A have their annual average income Rs. 78,000.The annual income of A is?

  • Rs. 81000

  • Rs. 82000

  • Rs. 83000

  • Rs. 83000

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29.

A car travels from A to B with 40 Km/h and returns from B to A with 60 Km/h. Its average speed during the whole journey is

  • 48 km/h

  • 50 km/h

  • 45 km/h

  • 45 km/h

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30.

In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs 

  • 6.4

  • 6.3

  • 6.25

  • 6.25

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