Average of n numbers is a. The first number is increased by 2, s

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

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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2.

Let straight x space equals space fraction numerator square root of 13 space plus space square root of 11 over denominator square root of 13 space minus square root of 11 end fraction and straight y space equals space 1 over straight x comma then the value of 3 straight x squared space minus space 5 xy space plus space 3 straight y squared is

  • 1717

  • 1177

  • 1771

  • 1771

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3.

A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of

  • Rs. 3,050

  • Rs. 2,760

  • Rs. 2,750

  • Rs. 2,750

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4.

A number when divided by 361 gives a remainder 47. If the same number is divided by 19, the remainder obtained is

  • 3

  • 8

  • 9

  • 9

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5.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.


In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?

  • 3

  • 4

  • 2

  • 2

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6.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

Approximate percentage decrease in production of Type Q vehicles from 2010 to 2011 is

  • 10.1

  • 16.7

  • 14.3

  • 14.3

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7.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The total production of Type P vehicles in the years 2009 and 2011 is what percent of total production of Type Q vehicles in 2010 and 2014?

  • 75

  • 69.25

  • 80

  • 80

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8.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The ratio of total production of Type P vehicles to total production of type Q vehicles over the years is

  • 48 : 41

  • 5 : 8

  • 8 : 5

  • 8 : 5

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9.

The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

The production of Type Q vehicles in 2010 was approximately what percent of Type vehicles in 2014?

  • 60

  • 45.5

  • 54.5

  • 54.5

191 Views

10.

A man starts from a place P and reaches the place Q in 7 hours. He travels 1 fourth th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance between P and Q is

  • 72 km

  • 90 km

  • 80 km

  • 80 km

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