If the three numbers in the ratio 3:2:5 be such that the sum of

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 Multiple Choice QuestionsMultiple Choice Questions

11.

Rs.490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share?

  • Rs 49

  • Rs 147

  • Rs 294

  • Rs 294

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12.

A certain amount of money is divided between A and B in the ratio of 5:6. If B gets ₹360/-, the amount is

  • ₹660/-

  • ₹560/-

  • ₹680/-

  • ₹680/-

209 Views

13.

The ratio of money with Ram and Gopal is 7 : 17 and with Gopal and Krishan is 7 : 17. If Ram has ₹ 490/-, Krishan has

  • ₹2,890/-

  • ₹2,680/-

  • ₹2,330/-

  • ₹2,330/-

215 Views

14.

A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the saving is 61 : 6. If his monthly income is ₹ 8,710/-. the amount of his monthly savings is

  • ₹ 870

  • ₹ 690 

  • ₹ 980

  • ₹ 980

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15.

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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16.

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


B.

14

Let the numbers be 3x, 2x and 5x.
According to the question,
     left parenthesis 3 straight x right parenthesis squared plus space left parenthesis 2 straight x right parenthesis squared space plus space left parenthesis 5 straight x right parenthesis squared space equals 1862
rightwards double arrow space space 9 straight x squared space plus space 4 straight x squared space plus space 25 straight x squared space space equals space 1862
rightwards double arrow space space space space space space space space space 38 straight x squared space equals space 1862
rightwards double arrow space space space space space space space space space straight x squared space equals space 1862 over 38 space equals space 49 space equals space 5 space colon space 2
therefore space space space space space straight x space equals space square root of 49 space equals space 7
∴ Number in the middle  = 2x = 14

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17.

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

18.

If x : y = 3 : 2, then the value of fraction numerator straight x plus straight y over denominator straight x minus straight y end fraction is

  • 5 : 1

  • 1 : 3

  • 1 : 5

  • 1 : 5

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19.

If 50% of x = 30% of y, then x : y is

  • 2 : 3

  • 5 : 3

  • 3 : 2

  • 3 : 2

162 Views

20.

If straight A thin space colon space straight B space equals space 1 half space colon thin space 1 third comma space space straight B thin space colon thin space straight C space equals space 1 fifth space colon space fraction numerator space 1 over denominator 3 end fraction comma spacethen (A + B) : (B + C) is equal to

  • 5 : 8

  • 9 : 10

  • 15 : 16

  • 15 : 16

161 Views

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