Two numbers are such that their difference, their sum and their

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The sum of the age of mother and a mother and her daughter is 60 years. 12 years ago the mother was eight times as old as her daughter. How old is the daughter at present?

  • 20 yr

  • 28 yr

  • 16 yr

  • 16 yr

193 Views

2.

In one hour, a boat goes 12 km along the stream and 8km against the stream. The speed of the boat in still water is

  • 12 km/h

  • 11 km/h

  • 10 km/h

  • 10 km/h

191 Views

3.

The sum of the ages of two brothers, having a difference of 8yr between them, will double after 10 yr. What is the ratio of the age of the younger brother to that of the elder brother?

  • 7 : 11

  • 3 : 7

  • 8 : 9 

  • 8 : 9 

180 Views

4.

7 years ago, the ages (in years) of A and B were in the ratio 4 : 5; and 7 years hence they will be in the ratio 5 : 6. The present age of B is

  • 56 years

  • 63 years

  • 70 years

  • 70 years

184 Views

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5.

Two numbers are such that their difference, their sum and their product are in the ratio of 1 : 7 : 24. The product of the numbers is

  • 24

  • 36

  • 48

  • 48


C.

48

Let the numbers be x and y.
x + y = 7a
x - y  = a
x. y = 24a
By solving, we get x = 4a & y = 3a
x . y = 12a2 
12a2 = 24a,   a = 2
Required product  = 24 x 2 = 48

Shortcut Method:
      (x - y) : (x + y) : xy
      =  1 : 7 : 24 
or      2 : 14 : 48

∴  Numbers are 8 and 6 as  (8 - 6) : (8 + 6) : (8 x 6) 
                                            2 : 14 : 48

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6.

The present ages of A and B are in the ratio 3 : 4. Ten years ago, this ratio was 4 : 7. The present age of A and B are respectively:

  • 18 years, 24 years

  • 21 years, 28 years

  • 24 years, 32 years

  • 24 years, 32 years

78 Views

7.

Ratio of A's age to B's age is 4 : 3. 'A' will be 26 years old after 6 years. The age of B now is:

  • 2 years

  • 12 years

  • 21 years

  • 15 years

73 Views

8.

The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3. The ratio of their ages 5 yr hence will be 2 : 3. Then, the ratio of their present ages is

  • 1 : 2

  • 3 : 5

  • 3 : 4

  • 2 : 5

55 Views

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9.

18 yr ago, the ratio of A's age to B's age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A?

  • 70 yr

  • 60 yr

  • 40 yr

  • 50 yr


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