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Average

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Q 1. There are 50 boys in a class. Their average weight is {tex} 45 \mathrm { kg } {/tex}. When one boy leaves the class, the average reduces by 100 g. Find the weight of the boy who left the class.

{tex} 40.9 \mathrm { kg } {/tex}

{tex} 42.9 \mathrm { kg } {/tex}

{tex} 49.9 \mathrm { kg } {/tex}

{tex} 39.9 \mathrm { kg } {/tex}

None of these

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Q 2. The average age of a board of 8 functional directors in a company is the same as it was 3 years ago, a younger man having been substituted for one of the directors. How much younger was the new man than the director whose place he took.

24 years

26 years

28 years

27 years

None of the above

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Q 3. The average marks scored by Ganesh in English, Science, Mathematics and History is less than 15 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?

40

50

60

Data inadequate

None of these

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Q 4. A car owner buys petrol at {tex} \mathrm{Rs.}7.50 , {/tex} {tex}\mathrm{Rs.}8.00{/tex} and {tex}\mathrm{Rs.} 8.50 {/tex} per litre for three successive years. What approximately is his average cost per litre of petrol if he spends {tex}\mathrm{Rs.} 4000 {/tex} each year?

{tex} \mathrm{Rs.\,}8 {/tex}

{tex}\mathrm{Rs.}\,9{/tex}

{tex} \mathrm{Rs.}\,7.98 {/tex}

{tex}\mathrm{Rs.\,}8.50{/tex}

None of the above

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Q 5. The average of two numbers is {tex} \mathrm { XY } {/tex}. If one number is {tex} \mathrm { X } {/tex}, then the other number is

{tex} \mathrm { Y } {/tex}

{tex} \frac { \mathrm { Y } } { 2 } {/tex}

{tex} 2 X Y - X {/tex}

{tex} \mathrm { X } ( \mathrm { Y } - 1 ) {/tex}

None of these

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Q 6. A school has 4 section of Chemistry in Class {tex} X {/tex} having 40 , {tex} 35,45 {/tex} and {tex}42{/tex} students. The mean marks obtained in Chemistry test are {tex} 50,60,55 {/tex} and {tex}45{/tex} respectively for the 4 sections. Determine the overall average of marks per student

50.25

52.25

51.25

53.25

None of the above

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Q 7. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

0

1

10

19

None of the above

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Q 8. The average of five consecutive odd numbers is {tex} 61 . {/tex} What is the difference between the highest and the lowest number?

8

2

5

Cannot be determined

None of these

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Q 9. A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks upto two decimal places.

73.41

74.31

72.43

73.43

Cannot be determined

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Q 10. The average of the first and the second of three numbers is 15 more than the average of the second and the third of these numbers. What is the difference between the first and the third of these three numbers?

15

45

60

Data inadequate

None of these

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Q 11. The average of four consecutive even numbers is one-fourth of the sum of these numbers. What is the difference between the first and the last number?

4

6

2

Cannot be determind

None of these

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Q 12. The average of six numbers is {tex} 3.95 . {/tex} The average of two of them is {tex} 3.4 , {/tex} while the average of the other two is {tex} 3.85 . {/tex} What is the average of the remaining two numbers?

4.5

4.6

4.7

4.8

None of the above

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Q 13. The average age of a group of person going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average becomes 15.5 years. Find the number of persons initially going for picnic.

20

18

22

19

None of the above

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Q 14. Nine persons went to a hotel for taking their meals. Eight of them spent {tex} \mathrm{Rs.} 12 {/tex} each on their meals and the ninth spend {tex} \mathrm{Rs.} 8{/tex} more than the average expenditure of all the nine. What was the total money spent by them?

{tex} \mathrm{Rs.} 115 {/tex}

{tex} \mathrm{Rs.} 117 {/tex}

{tex} \mathrm{Rs.} 119 {/tex}

{tex} \mathrm{Rs.} 122 {/tex}

None of the above

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Q 15. The average weight of 45 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

{tex} 51 \frac { 1 } { 3 } {/tex}

{tex} 52 \frac { 2 } { 3 } {/tex}

{tex} 52 \frac { 1 } { 3 } {/tex}

43.42

None of the above

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Q 16. Find the average of the following set of numbers: {tex} 148,88,184,166,96,122 {/tex}

146

142

136

132

None of these

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Q 17. Average weight of three boys {tex} \mathrm {P}{/tex},{tex}\mathrm {T \,and \, R }{/tex} is 54{tex} \frac { 1 } { 3 } {/tex} kgs while the average weight of three boys, {tex}\mathrm { E} {/tex} {tex} \mathrm {F} {/tex} and {tex} G {/tex} is {tex}\mathrm {53}{/tex} kgs. What is the average weight of {tex} \mathrm {P,} {/tex} {tex}\mathrm{ T, R, E, F \,and \ G ?} {/tex}

53.8{tex} \mathrm { kgs } {/tex}

52.4{tex} \mathrm { kgs } {/tex}

53.2{tex} \mathrm { kgs } {/tex}

Cannot be determined

None of these

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Q 18. Find the average of the following set of scores {tex} 221,231,441,359,665,525 {/tex}

399

428

407

415

None of these

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Q 19. The average age of 3 friends is 32 years. If the age of a fourth friend is added, their average age comes to 31 years. What is the age of the fourth friend?

32 years

28 years

24 years

26 years

None of these

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Q 20. Out of three given numbers, the first number is twice the second and thrice the third. If the average of the three numbers is {tex} 154 , {/tex} what is the difference between the first and the third number?

126

42

166

52

None of these

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Q 21. If the value of {tex} 16 a + 16 b = 672 , {/tex} what is the average of a and b?

44

21

24

42

None of these

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Q 22. The average of five numbers is {tex} 281 . {/tex} The average of the first two numbers is {tex} \mathrm {280} {/tex} and the average of the last two numbers is {tex} 178.5 . {/tex} What is the third number?

488

336

228

464

None of these

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Q 23. The average of {tex}5{/tex} consecutive odd numbers {tex} A , B , C , D {/tex} and {tex} E {/tex} is {tex} 41 . {/tex} What is the product of {tex} A {/tex} and {tex} E ? {/tex}

1977

1517

1665

1591

None of these

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Q 24. Find the average of the following set of scores: {tex} 152,635,121,423,632,744,365,253,302 {/tex}

403

396

428

383

None of these

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Q 25. What will be the average of the followings set of scores? {tex} 59,84,44,98,30,40,58 {/tex}

62

66

75

52

59

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