Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

102.

The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is

  • 3780

  • 3783

  • 2520

  • 2522


B.

3783

LCM of 4, 5, 6, 7  = 420.
Let require number be 420K + 3 which is multiple of 13.
Least value of K for which (420K + 3) is divisible by 13 is K = 9
∴ Required Number = 420 x 9 + 3 = 3780 + 3 = 3783

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101.

The next term of the series 1, 5, 12, 24, 43 is

  • 51

  • 62

  • 71

  • 78


C.

71

1 space rightwards arrow with plus 4 on top 5 rightwards arrow with plus 7 on top 12 rightwards arrow with plus 12 on top 24 rightwards arrow with plus 19 on top 43 rightwards arrow with plus 28 on top box enclose 71

plus 4 rightwards arrow with plus 3 on top plus 7 comma space plus 7 rightwards arrow with plus 5 on top 12 comma space plus 12 rightwards arrow with plus 7 on top plus 19 space rightwards arrow with plus 9 on top 28

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107.

A rectangular garden is 100 m x 80 m. There is a path along the garden and just outside it. Width of the path is 10 m. The area of the path is

  • 1900 sq m

  • 2400 sq m

  • 3660 sq m

  • 4000 sq m


D.

4000 sq m


Area of the path
          = Area of rectangle ABCD - Area of rectangle PQRS
          = 120 x 100 - 100 x  80
           = 12000 - 8000
          = 4000 sq m.

30 Views

105.

If 21 is added to a number, it becomes 7 less than thrice of the number, Then, the number is

  • 14

  • 16

  • 18

  • 19


A.

14

Let the number be x
According to the question,
                x +  21 = 3x - 7
   ⟹         2x = 21 + 7
   rightwards double arrow space space space space straight x space equals space 28 over 2 space equals space 14
   

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110.

The average age of a jury of 5 is 40. If a member aged 35 resigns and a man aged 25 becomes a member, then the average age of the new jury is

  • 30 yr

  • 38 yr

  • 40 yr

  • 42 yr


B.

38 yr

Required average:
    equals space open parentheses fraction numerator 5 space cross times space 40 space minus space 35 space plus space 25 over denominator 5 end fraction close parentheses
equals space open parentheses fraction numerator 200 space minus space 10 over denominator 5 end fraction close parentheses
equals space open parentheses 190 over 5 close parentheses space equals space 38 space yr

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104.

A and B are partners in a business. A contributes (1/4) of the capital for 15 month and B received 2/3 of the profit. Find for how long B's money was used?

  • 6 months

  • 8 months

  • 10 months

  • 12 months


C.

10 months

A's contribution of capital = 1/4
∴  B's contribution of capital = 3/4
Now, 
Capitals ratio :: Profit sharing ratio
Let B's money was used for x months.
rightwards double arrow space space 1 fourth space cross times space 15 space colon thin space straight x space cross times space 3 over 4 space colon thin space colon thin space open parentheses 1 minus 2 over 3 close parentheses space colon space 2 over 3
rightwards double arrow space space space space 15 over 4 space colon space fraction numerator 3 straight x over denominator 4 end fraction space space colon thin space colon thin space 1 third space colon space 2 over 3
rightwards double arrow space space space space space space 15 space colon space 3 straight x space space colon thin space colon thin space space 1 space colon space 2

therefore space space space 3 straight x space space equals space 30
rightwards double arrow space space space straight x space equals space 30 over 3 space equals space 10 space months

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108.

A dealer offered a machine for sale for ₹ 27500 but even if he had charged 10% less, he would have made a profit of 10%. The actual cost of the machine is

  • ₹ 22000

  • ₹ 24250

  • ₹ 22500

  • ₹ 22275


C.

₹ 22500

Let the actual cost of the machine be ₹ x.
According to the question
rightwards double arrow space space space straight x space cross times space 110 over 100 space equals space 27500 space cross times open parentheses fraction numerator 100 minus 10 over denominator 100 end fraction close parentheses
rightwards double arrow space space space straight x space equals space 27500 space cross times space 90 over 100 space cross times space 100 over 110
rightwards double arrow space space space straight x space equals space ₹ space 22500
   

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103.

The simplest value of  fraction numerator 1 over denominator square root of 2 space plus space square root of 3 end fraction space plus space fraction numerator 1 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 4 end style end fraction space plus space fraction numerator 1 over denominator square root of 4 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 5 end style end fraction space plus space fraction numerator 1 over denominator square root of 5 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 6 end style end fraction is

  • square root of 3 space left parenthesis square root of 2 minus 1 right parenthesis

  • square root of 2 left parenthesis square root of 3 minus 1 right parenthesis

  • square root of 3 minus 1

  • square root of 2 minus 1


B.

square root of 2 left parenthesis square root of 3 minus 1 right parenthesis

Shortcut Method:
Subtract square root of smaller number from square root of larger number
space straight i. straight e. space space square root of 6 space minus space square root of 2
space equals space square root of 2 left parenthesis square root of 3 minus 1 right parenthesis

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106.

Two men A and B have started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job if they start working together?

  • 15

  • 20

  • 22 1 half

  • 25


C.

22 1 half

Let A and B can do a work in x days and 3x days respectively.
According to the question,
                       3x - x = 60  
               ⟹       2x =  60
               ⟹       x = 30
∴    Time taken to complete the work
          equals space fraction numerator straight A space cross times space straight B over denominator straight A space plus space straight B end fraction space equals space space fraction numerator 30 space cross times space 90 over denominator 30 space plus space 90 end fraction space equals space 12000 over 1200 space equals space 22 1 half space days

37 Views

109.

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

  • increased in the ratio 56 : 69

  • decreased in the ratio 56 : 45

  • increased in the ratio 13 : 17

  • decreased in the ratio 17 : 13


B.

decreased in the ratio 56 : 45

Shortcut Method:
Given,
New Ratio of number of employees  = 8 : 5
and ratio in their wages = 7 : 9
Overall wage bill is decreased  in the ratio 7 x 8 : 5 x 9 = 56 : 45



37 Views