The smallest fraction, which should be added to the sum of  an

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 Multiple Choice QuestionsMultiple Choice Questions

21.

Let x be the least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits is

  • 21

  • 22

  • 18

  • 18

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22.

The smallest fraction, which should be added to the sum of 2 1 half comma space space 3 1 third comma space space 4 1 fourth and 5 1 fifth to make the result as a whole number, is

  • 13 over 60
  • 1 fourth
  • 17 over 60
  • 17 over 60


D.

17 over 60
2 1 half space plus space 3 1 third space plus space 4 1 fourth space plus space 5 1 fifth
equals space left parenthesis 2 space plus space 3 space plus space 4 space plus space 5 right parenthesis space plus space open parentheses 1 half space plus space 1 third space plus space 1 fourth space plus space 1 fifth close parentheses
equals space 14 space plus space open parentheses fraction numerator 30 space plus space 20 space plus space 15 space plus space 12 over denominator 60 end fraction close parentheses
equals space 14 space plus space 77 over 60 space
or
14 plus space 1 space 17 over 60 space equals space 15 17 over 60
space
∴  Required fraction 
equals space 1 minus 17 over 60 space equals space fraction numerator 60 minus 17 over denominator 60 end fraction space equals space 43 over 60
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23.

Which of the following is correct?

  • 2 over 3 space less than space 3 over 5 space less than thin space 11 over 15
  • 3 over 5 less than 2 over 3 less than 11 over 15
  • 11 over 15 space less than space 3 over 5 space less than space 2 over 3
  • 11 over 15 space less than space 3 over 5 space less than space 2 over 3
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24.

Three bells ring at intervals of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every

  • 6 minutes

  • 12 minutes

  • 18 minutes

  • 18 minutes

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25.

In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder 'r'. If r = 46, the dividend will be

  • 5042

  • 5328

  • 5336

  • 5336

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26.

The largest number of four digits exactly divisible by 88 is

  • 9988

  • 9944

  • 8888

  • 8888

92 Views

27.

The LCM of two prime numbers x and y, (x > y) is 161. The value of (3y - x)

  • -2

  • -1

  • 1

  • 1

91 Views

28.

In a school, 391 boys and 323 girls have been divided into the largest possible equal classes, so that each class of boys numbers the same as each class of girls. What is the number of classes?

  • 23

  • 19

  • 44

  • 44

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29.

The least number to be added to 13851 to get a number which is divisible by 87 is

  • 18

  • 43

  • 54

  • 54

109 Views

30.

The least number that must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder is 

  • 2

  • 3

  • 1

  • 4

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