Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

110.

fraction numerator 256 space cross times space 256 space minus space 144 space cross times space 144 over denominator 112 end fraction is equal to

  • 420

  • 400

  • 360

  • 320


B.

400

fraction numerator 256 space cross times 256 minus 144 space cross times space 144 over denominator 112 end fraction space equals space fraction numerator left parenthesis 256 space plus 144 right parenthesis thin space left parenthesis 256 minus 144 right parenthesis over denominator 112 end fraction
space space equals space fraction numerator 400 space cross times space 112 over denominator 112 end fraction space equals space 400

49 Views

106.

The sum of the series
( 1 + 0.6 + 0.06 + 0.006 +  0.0006 + .....) is

  • 1 2 over 3

  • 1 1 third

  • 2 1 third

  • 2 2 over 3


A.

1 2 over 3

1 +  0.6 +  0.06  + 0.006 + 0.0006 + .......
equals space 1 space plus space 6 over 10 space plus space 6 over 100 space plus space 6 over 1000 space plus space.....
equals space 1 space plus space 6 space open parentheses 1 over 10 space plus space 1 over 100 space plus space 1 over 1000 plus..... close parentheses
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight S space equals space fraction numerator straight a over denominator 1 minus straight r end fraction space left parenthesis straight G. straight P. space ratio right parenthesis
space equals space 1 plus 6 open parentheses fraction numerator begin display style 1 over 10 end style over denominator 1 minus begin display style 1 over 10 end style end fraction close parentheses
equals space 1 plus 6 space open parentheses 1 over 10 space cross times space 10 over 9 close parentheses space equals space 1 plus 6 over 9 space equals space 1 plus space 2 over 3 space equals space 1 2 over 3

81 Views

109.

The square root of 0.09 is

  • 0.30

  • 0.03

  • 0.81

  • 0.081


A.

0.30

square root of 0.09 end root space equals space square root of 9 over 100 end root space equals space 3 over 10 space equals space 0.30

69 Views

102.

square root of fraction numerator 0.009 space cross times space 0.036 space cross times space 0.016 space cross times space 0.08 over denominator 0.002 space cross times 0.0008 space cross times space 0.0002 end fraction end root is equal to

  • 34

  • 36

  • 38

  • 39


B.

36

square root of fraction numerator 0.009 space cross times space 0.036 space cross times space 0.016 space cross times space 0.08 over denominator 0.002 space cross times space 0.0008 space cross times space 0.0002 end fraction end root space equals space square root of fraction numerator 9 space cross times space 36 space cross times 16 space cross times 8 over denominator 2 space cross times 8 space cross times 2 end fraction end root
space equals space square root of 9 space cross times space 9 space cross times space 16 end root space equals space square root of 36 space cross times space 36 end root space equals space 36

63 Views

104.

The ninth term of the sequence,
0, 3, 8, 15, 24, 35,......... is

  • 63

  • 70

  • 80

  • 99


C.

80

0 space rightwards arrow with plus 3 on top 3 rightwards arrow with plus 5 on top 8 rightwards arrow with plus 7 on top 15 rightwards arrow with plus 9 on top 24 rightwards arrow with plus 11 on top 35 rightwards arrow with plus 13 on top 48 rightwards arrow with plus 15 on top 63 rightwards arrow with plus 17 on top box enclose 80

49 Views

101.

The number 0.121212....... in the form straight p over straight q is equal to

  • 4 over 11

  • 2 over 11

  • 4 over 33

  • 2 over 33


C.

4 over 33

0.121212.... space equals space 0.12 with bar on top space equals space 12 over 99 space equals space 4 over 33

217 Views

105.

fraction numerator 0.125 plus 0.027 over denominator 0.25 space minus space 0.15 space plus space 0.09 end fraction is equal to

  • 0.3

  • 0.5

  • 0.8

  • 0.9


C.

0.8

fraction numerator 0.125 space plus space 0.027 over denominator 0.25 space minus 0.15 space plus space 0.09 end fraction
equals space fraction numerator left parenthesis 0.5 right parenthesis cubed space plus space left parenthesis 0.3 right parenthesis cubed over denominator left parenthesis 0.5 right parenthesis squared space minus space 0.3 space cross times space 0.5 space plus space left parenthesis 0.3 right parenthesis squared end fraction
equals space fraction numerator left parenthesis 0.5 space plus space 0.3 right parenthesis space open curly brackets left parenthesis 0.5 right parenthesis squared space minus space 0.3 space cross times space 0.5 space plus space left parenthesis 0.3 right parenthesis squared close curly brackets over denominator open curly brackets left parenthesis 0.5 right parenthesis squared space minus space 0.3 space cross times space 0.5 space plus space left parenthesis 0.3 right parenthesis squared close curly brackets end fraction
equals space 0.5 space plus space 0.3 space equals space 0.8

52 Views

103.

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is

  • 1120

  • 4714

  • 5200

  • 5600


B.

4714

L.C.M. of 20, 28, 32, 35 = 1120
Hence, the required number = 5834 -  1120 = 4714

 

78 Views

107.

The HCF and LCM of two numbers are 8 and 48 respectively. If one of the numbers is 24, then the other number is

  • 48

  • 36

  • 24

  • 16


D.

16

Product of the numbers  = HCF X LCM
                     24 x second number = 8 x 48
 rightwards double arrow space space space space space space Second space number space equals space fraction numerator 8 space cross times space 48 over denominator 24 end fraction space equals space 16

79 Views

108.

A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be

  • 1

  • 2

  • 7

  • 17


B.

2

Shortcut Method:
Required remainder
                       space equals space open parentheses fraction numerator Old space Remainder over denominator Divisor end fraction close parentheses
equals space 21 over 19
i.e. on dividing 21 by 19, we get remainder 2.

77 Views