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 Multiple Choice QuestionsMultiple Choice Questions

51.

The mean of 100 item was 46. Later on, it was discovered that an item 16 was misread as 61 and another item 43 was misread as 34. It was also found that the number of items was 90 and not 100. Then what is the correct mean?

  • 50

  • 50.7

  • 52

  • 52

175 Views

52.

Average rainfall on Monday, Tuesday, Wednesday and Thursday is 420.5 cm and average on Tuesday, Wednesday, Thursday and Friday is 440.5 cm. If the ratio of rainfall for Monday and Friday is 20: 21, find the rainfall in cm on Monday and Friday.

  • 1800, 1890

  • 1600, 1680

  • 1700, 1470

  • 1700, 1470

263 Views

53.

The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?

  • fraction numerator 2 straight n plus 5 over denominator 2 end fraction
  • (n + 2)

  • (n + 3)

  • (n + 3)

265 Views

54.

5 members of a team are weighted consecutively and their average weight calculated after each member is weighed. If the average weight increases by one kg each time, how much heavier is the last player than the first one?

  • 4 kg

  • 20 kg

  • 8 kg

  • 8 kg

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55.

The average of two numbers A and B is 20, that of B and C is 19 and of C and A it is 21. What is the value of A?

  • 24

  • 22

  • 20

  • 20

150 Views

56.

A batsman in his 12th innings makes a score of 63 runs and thereby increases his average score by 2. The average of his score after 12th innings is

  • 41

  • 42

  • 34

  • 34

636 Views

57.

In an examination average marks obtained by the girls of a class is 85 and the average marks obtained by the boys of the same class is 87. If the girls and boys are in the ratio 4 : 5, average marks of the whole class (approximately) is closest to

  • 85.9

  • 86.1

  • 86.4

  • 86.4

247 Views

58.

The average age of 30 students of a class is 14 years 4 months. After admission of 5 new students in the class the average becomes 13 years 9 months. The youngest one of the five new students is 9 years 11 months old. The average age of the remaining 4 new students is

  • 11 years 2 months

  • 13 years 6 months

  • 12 years 4 months

  • 12 years 4 months

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59.

Three Science classes A, B and C take a Life Science test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and C is 81. Then the average score of classes A, B and C is

  • 81.5

  • 81

  • 80.5

  • 80

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60.

Average of n numbers is a. The first number is increased by 2, second one is increased by 4, third one is increased by 8 and so on. The average of the new numbers is

  • straight a space plus space fraction numerator 2 to the power of straight n minus 1 end exponent minus 1 over denominator straight n end fraction
  • straight a plus 2 fraction numerator 2 to the power of straight n minus 1 over denominator straight n end fraction
  • straight a plus 2 to the power of straight n minus 1 end exponent over straight n
  • straight a plus 2 to the power of straight n minus 1 end exponent over straight n


B.

straight a plus 2 fraction numerator 2 to the power of straight n minus 1 over denominator straight n end fraction

Sum of new numbers
    = na + (2 + 4 + 8  + 16 +......n)
therefore space space straight S space equals space fraction numerator straight a left parenthesis straight r to the power of straight n minus 1 right parenthesis over denominator straight r minus 1 end fraction space equals space fraction numerator 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator 2 minus 1 end fraction space equals space 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis
∴   New average 
equals space fraction numerator na plus 2 left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator straight n end fraction
equals space straight a plus 2 fraction numerator left parenthesis 2 to the power of straight n minus 1 right parenthesis over denominator straight n end fraction

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