Of three numbers, the first is 4 times the second and 3 times th

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The average of four consecutive even numbers is 27. The largest of these numbers is

  • 28

  • 26

  • 32

  • 32

129 Views

2.

The average of the marks of 28 students in Mathematics was 50. When 8 students left the school, then the average increased by 5. What is the average of the marks obtained by the students who left the school?

  • 50.5

  • 37.5

  • 42.5

  • 42.5

186 Views

3.

The average age of 8 men, 7 women and 1 boy is 45 years. If the average age of 8 men is 48 years and that of 7 women is 46 years, then the age of the boy is

  • 14 years

  • 15 years

  • 16 years

  • 16 years

114 Views

4.

The average monthly salary of the workers in a workshop is Rs. 8500. If the average monthly salary of 7 technicians is Rs. 10,000 and average monthly salary of the rest is Rs. 7,800, the total number of workers in the workshop is

  • 18

  • 20

  • 22

  • 22

121 Views

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5.

A cricket player has an average score of 30 runs of 42 innings played by him. In an innings, his highest score exceeds his lowest score by 100 runs. If these two innings are excluded, his average of the remaining 40 innings is 28 runs. His highest score in an innings is

  • 125

  • 120

  • 110

  • 110

167 Views

6.

If average of two numbers x and 1 over straight x (where straight x not equal to 0) is A, what will be the average of x3 and 1 over straight x cubed?

  • 4 straight A cubed space minus space 2 straight A
  • 4 straight A cubed minus 3 straight A
  • 4 straight A cubed minus 4 straight A
  • 4 straight A cubed minus 4 straight A
70 Views

7.

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is

  • 20

  • 26

  • 31

  • 31

85 Views

8.

In a team of 10 persons, nine persons spent Rs. 40 each for their meal and the remaining one spent Rs. 9  more than the average expenditure of all the 10 persons. The total expenditure for their meal was

  • Rs. 510

  • Rs. 310

  • Rs. 410

  • Rs. 410

140 Views

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9.

The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is

  • 36.5

  • 37

  • 37.5

  • 37.5

119 Views

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10.

Of three numbers, the first is 4 times the second and 3 times the third. If the average of all the three numbers is 95, what is the third number?

  • 76

  • 60

  • 130

  • 130


B.

60

Let the third number be Rs. x.
∴  First number = 3x
∴  Second number = fraction numerator 3 straight x over denominator 4 end fraction
According to the question,
rightwards double arrow space space space 3 straight x plus fraction numerator 3 straight x over denominator 4 end fraction plus straight x space equals space 3 space cross times space 95
rightwards double arrow space space space fraction numerator 12 straight x space plus space 3 straight x space plus space 4 straight x over denominator 4 end fraction space equals space 285
rightwards double arrow space space 19 straight x space equals space 285 space cross times space 4
rightwards double arrow space space space straight x space space equals space fraction numerator 285 space cross times space 4 over denominator 19 end fraction equals space space 60

86 Views

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