A grandfather is ten times older than his granddaughter. He is a

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 Multiple Choice QuestionsLong Answer Type

81.

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 metres of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,600. How much trouser material did he buy?

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82.

Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

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83.

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present age.


Let the present age of granfather = x years

∴       Present age of granddaughter = space space x over 10 years

  According to the condition, we have

      [Present age of granddaughter] + 54 = x

or                                       space space x over 10 plus 54 equals x

   Transposing 54 to RHS and x to LHS, we have
                
                   x over 10 minus x equals negative 54

or                 fraction numerator x minus 10 x over denominator 10 end fraction equals negative 54

or                    fraction numerator negative 9 x over denominator 10 end fraction equals negative 54

or                      negative 9 x space equals negative 54 cross times 10          [Multiplying both sides by 10]

or                      x equals fraction numerator negative 54 cross times 10 over denominator negative 9 end fraction              [Dividing both sides by -9]
  
or                       x equals 6 cross times 10 equals 60

and                       x over 10 equals 60 over 10 equals 6

∴  Present age of grandfather = 60 years

   Present age of granddaughter = 6 years



             


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84.

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

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 Multiple Choice QuestionsShort Answer Type

85.

The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 121. Find the original number.

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86.

The sum of the digits of a two-digit number is 13. If the digits are interchanged, and the resulting number is added to the original number, then we get 143. What is the original number?

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87.

One of the two digits of two-digit number is three times the other. If we interchange the digits and add the resulting number to the original number, we get 132. Find the number.

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88.

‘A’ is twice as old as ‘B’. Five years ago A’s age was three times B’s age. Find their present ages.

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89.

If the length and breadth of a rectangular field are in the ratio 6 : 4. Find the length and breadth if the cost of fencing the field at the rate of Rs 80 per metre is Rs 16000.

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 Multiple Choice QuestionsLong Answer Type

90.

Solve:   fraction numerator x plus 3 over denominator 6 end fraction plus 1 space equals space fraction numerator 6 x minus 1 over denominator 3 end fraction

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