The ratio of numbers of boys to the number of girls in a school

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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

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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


C.

24

Original number of boys in school = 5 over 9 cross times 432 space equals space 240

Number of girls  = 432 -  240 = 192
Let the number of girls be x.
According to the question
               fraction numerator 240 plus 12 over denominator 192 plus straight x end fraction equals 7 over 6
rightwards double arrow space fraction numerator 252 over denominator 192 plus straight x end fraction space equals space 7 over 6
rightwards double arrow space space 192 space cross times space 7 space plus space 7 straight x space equals space 252 space cross times space 6
rightwards double arrow space space 1344 space plus space 7 straight x space equals space 1512
rightwards double arrow space space space 7 straight x space equals space 1512 space minus space 1344 space equals space 168
rightwards double arrow space space space straight x space equals space 168 over 7 space equals space 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

223 Views

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

2351 Views

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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

239 Views

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

1538 Views

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

356 Views

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

258 Views

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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

433 Views

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

304 Views

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