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

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 Multiple Choice QuestionsMultiple Choice Questions

51.

The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19, find the first term:

  • 3

  • 5

  • 7

  • 7

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52.

What least value must be assigned to '*' so that the number 63576*2 is divisible by 8?

  • 1

  • 2

  • 3

  • 4

201 Views

53.

Which one of the following is the minimum value of the sum of two integers whose product is 24?

  • 25

  • 11

  • 8

  • 10

69 Views

54.

Number of composite numbers lying between 67 and 101 is

  • 27

  • 24

  • 26

  • 23

218 Views

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55.

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

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56.

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

77 Views

57.

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

217 Views

58.

A number when divided by 49 leaves 32 as remainder. This number when divided by 7 will have the remainder as

  • 4

  • 3

  • 2

  • 5

42 Views

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59.

The last digit of (1001)2008 +  1002 is

  • 0

  • 3

  • 4

  • 6

73 Views

60.

The remainder when 321 is divided by 5 is

  • 1

  • 2

  • 3

  • 4

48 Views

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