Average – Set 3

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Average – Set 3

Dear ! This is Average – Set 3 Quiz and it contains 50 questions.


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1) The average of the three numbers x, y and z is 45. x is greater than the average of y and z by 9. The average of y and z is greater than y by 2. Then the difference of x and z is ?

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2) If the average weight of 6 students is 50 kg. If two student of average weight of 51 kg are added and two other students of average weight of 55 kg are also added then the average weight of all the students is ?

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3) The average of x1, x2, x3 and x4 is 16. Half the sum of x2, x3, x4 is 23. What is the value of x1?

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4) The average of the two-digit numbers, which remain the same when the digits interchange their positions, is-?

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5) 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 (approx.) is closest to ?

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6) The average of 30 numbers is 40 and that of other 40 numbers is 30. The average of all the numbers is ?

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7) If the mean of a, b, c, is M and ab + bc + ca = 0, then the mean of a2, b2, c2 is -?

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8) The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students is ?

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9) The arithmetic mean of first 11 natural numbers is?

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10) If the average of 6 consecutive even number is 25, the difference between the largest and the smallest number is ?

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11) The mean of 12, 22, 32, 42, 52, 62, 72 is -?

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12) If the difference between the average of x, y and y, z is 12, then the difference between x and z is ?

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13) If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of the last three observations is-?

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14) A man had 7 children. When their average age was 12 years, a child aged 6 years died. Then average age of remaining six children is ?

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15) The average weight of 20 students in a class is increased by 0.75 kg when one student of 35 kg replaced by a new student. Weight of the new student (in kg) is ?

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16) If average of 20 observations x1, x2, . . . . . x20 is y, then the average of x1 – 101, x2 – 101, x3 – 101, . . . . . x20 – 101 is ?

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17) The average salary, per head, of all the workers of an institution is Rs. 60. The average salary of 12 officers is Rs. 400; the average salary, per head, of the rest is Rs. 56. The total number of workers in the institution is -?

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18) The average of 20 numbers is 12. The average of the first 12 numbers is 11 and that of the next 7 numbers is 10. The last number is ?

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19) Total weekly emoluments of the workers of a factory is Rs. 1534. Average weekly emolument of a worker is Rs. 118. The number of workers in the factory is ?

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20) A fruit seller sold big, medium and small sizes apples of Rs. 15, Rs. 10 and Rs. 5, respectively. The total number of apples sold were in the ratio 3 : 2 : 5. Find the average cost of an apple?

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21) Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother (in years) is ?

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22) The average monthly income of A and B is Rs. 14000, that of B and C is Rs. 15600 and A and C is Rs. 14400. The monthly income of C is ?

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23) A man bought 13 articles at Rs. 70 each, 15 at Rs. 60 each and 12 at Rs. 65 each. The average price per article is -?

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24) The average age of 9 students and their teacher is 16 years. The average age of the first four students is 19 years and that of the last five is 10 years. The teacher’s age is ?

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25) The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years are replaced by 3 youngsters. The average age of the new comers is ?

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26) The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?

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27) The average age of 11 players of a cricket team is increased by 2 months when two of them aged 18 years and 20 years are replaced by two new players. The average age of the new players is ?

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28) A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found mean to be 12. What should be the number in place of x?

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29) The average of the squares of first ten natural numbers is-?

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30) In a 20 over match, the required run rate to win is 7.2. If the run rate is 6 at the end of the 15th over, the required run rate to win the match is ?

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31) The total marks obtained by a student in Physics, Chemistry and Mathematics together is 120 more than the marks obtained by him in Chemistry. What is the average marks obtained by him in Physics and Mathematics together?

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32) The average daily income of 7 men, 11 women and 2 boys is Rs. 257.50. If the average daily income of the men is Rs. 10 more than that of women and the average daily income of the women is Rs. 10 more than that of boys the average daily income of a man is -?

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33) Company C sells a line of 25 products with an average retail price of Rs. 1200. If none of these products sells for less than Rs. 420 and exactly 10 of the products sell for less than Rs. 1000, then what is the greatest possible selling price of the most expensive product?

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34) A man purchased 7 bags of rice at the rate of Rs. 800 each, 8 bags of rice at Rs. 1000 each and 5 bags of rice at the rate of Rs. 1200 each. What is the average cost of one bag of rice ?

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35) The average of 25 observations is 13. It was later found that an observation 73 was wrongly entered as 48. The new average is ?

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36) In a pre school, the average weight of 30 girls in a class among 50 students is 16 kg and that of the remaining students is 15.5 kg. What is the average weight of all the students in the class ?

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37) The average of seven numbers is 18. If one of the numbers is 17 and if it is replaced by 31, then the average becomes ?

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38) In a class, there are 40 boys and their average age is 16 years. One boy, aged 17 years, leaving the class and another joining, the average age becomes 15.875 years The age of the new boy is ?

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39) In a class, the average score of girls in an examination is 73 and that of boys is 71. The average score for the whole class is 71.8. Find the percentage of girls ?

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40) 4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on the average. The the average amount spent by the girls is-?

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41) Out of nine persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was ?

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42) Total of Arun’s marks in Sanskrit and Mathematics together are 80 more than his marks in Science. His average marks in the three subjects are 100. What are his marks in Science?

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43) The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is ?

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44) The average age of 10 children is 9 years 9 months. The average of 9 children is 8 years 11 months. What is the age of the tenth child ?

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45) The average weight of 12 crewmen in a boat is increased by 1/313“> kg, when one of the crewmen whose weight is 55 kg is replaced by a new man. What is the weight of that new man ?

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46) The average marks of 14 students was 71. It was later found that the marks of one of the student has been wrongly entered as 42 instead of 56 and another as 74 instead of 32. What is the correct average ?

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47) The average of 12 numbers is 15 and the average of the first two is 14. What is the average of the rest ?

 

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48) The sum of three consecutive even numbers is 28 more than the average of these three number. Then the smallest of these number is ?

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49) The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth number is -?

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50) The average of a non-zero number and its square is 5 times the number. The number is-?

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