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Averages Test - 3

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Averages Test - 3
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  • Question 1
    3 / -1

     

    There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:

    A Æ Highest score 22, Lowest score 18

    B Æ Highest score 31, Lowest score 23

    C Æ Highest score 33, Lowest score 26

    If five students are transferred from A to B.

    What will happen to the average score of B?

     

    Solution

     

     

    Definitely decrease, since the highest marks in Class A is less than the lowest marks in Class B.

    So, the correct answer is B

     

     

  • Question 2
    3 / -1

    Find wrong number in series: 23, 29, 31, 33, 41, 43, 47

    Solution

    the given series is prime numbers from 23

  • Question 3
    3 / -1

    The average age of a class of 30 students and a teacher reduces by 0.5 years if we exclude the teacher. If the initial average is 14 years, find the age of the class teacher. 

    Solution

     Age of teacher = Total age(student + teacher) - total age of students

                                =  30 x 14 - 13 x 13.5

                                = 434 -403

                                = 29 years

     

  • Question 4
    3 / -1

    The average of a batsman after 25 innings was 56 runs per innings. If after the 26th inning his average increased by 2 runs, then what was his score in the 26 inning?

    Solution

    Total runs after 25 innings = 25 x 56= 1400

    Since, after 26 innings average run is increased by 2, hence new average = 56+2 = 58

    Now,

    Total runs after 26 innings = 26 x 58 = 1508

    Score in 26th inning = 1508 - 1400 = 108 runs.

  • Question 5
    3 / -1

    There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:

    A Æ Highest score 22, Lowest score 18

    B Æ Highest score 31, Lowest score 23

    C Æ Highest score 33, Lowest score 26

    If five students are transferred from A to B.

    What will happen to the average score of A?

    Solution

    Cannot say since there is no indication of the values of the numbers which are transferred.

    So, the correct answer is D

  • Question 6
    3 / -1

     Read the following:

    There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:

    A Æ Highest score 22, Lowest score 18

    B Æ Highest score 31, Lowest score 23

    C Æ Highest score 33, Lowest score 26

    In a transfer of 5 students from A to C

    What will happen to the average score of C?

     

    Solution

    It will definitely decrease since the highest possible transfer is lower than the lowest value in C

    So, the correct answer is B. 

  • Question 7
    3 / -1

    The average of 7 consecutive numbers is E. If the next three numbers are also added, the average increases by

    (IIFT 2013)

    Solution

    If the numbers are 1,2,3,4,5,6,7 and we add 8, 9,10.
    Initial average = (1 + 2 + 3 + 4 + 5 + 6 + 7) / 7 = 4 Final average = (1 + 2 + 3 + 4 + -----10) / 10 = 5.5
    Therefore, the average increases by 1.5. 

  • Question 8
    3 / -1

    In 2001 there were 6 members in Barney’s family and their average age was 28 years. He got married between 2001 and 2004 and in 2004 there was an addition of a child in his family. In 2006, the average age of his family was 32 years. What is the present age (in 2006) of Barney’s wife (in years) is:

    Solution

    If the present age of Barney’s wife is x years. Then according to the question:
    (33 X 6 + x + 2) / 8 = 32
    x + 2 + 198 = 256 x + 2 = 58
    x = 56
    x = 56 years 

  • Question 9
    3 / -1

    The weight of a metal piece as calculated by the average of 7 different experiments is 53.735 gm. The average of the first three experiments is 54.005 gm, of the fourth is 0.004 gm greater than the fifth, while the average of the sixth and seventh experiment was 0.010 gm less than the average of the first three. Find the weight of the body obtained by the fourth experiment.

    Solution

    You can take 53 as the base to reduce your calculations. Otherwise, the question will become highly calculation-intensive. Let the fifth experiment’s measurement be ‘x’ above 53.
    Then you get:
    0.735 X 7 = 1.005 X 3 + (x + 0.004) + x + 0.995 X 2
    -> 5.145 = 3.015 + 2x + 0.004 + 1.99.
    On solving this you get x = 0.068. Hence, the weight of the fifth body is 53.068 and the weight of the fourth body is 53.072. Hence, the option (d) is correct. 

  • Question 10
    3 / -1

    One collective farm got an average harvest of 21 tons of wheat and another collective farm that had 12 acres of land less given to wheat, got 25 tons from a hectare. As a result, the second farm harvested 300 tons of wheat more than the first. How many tons of wheat did each farm harvest?

  • Question 11
    3 / -1

    If the dates of birth, of four of them are prime numbers, then find the maximum average of the sum of their dates of birth. 

    Solution

    The prime dates must be 29th, 23rd, 19th and 5th.

    This represents a reduction in the totals from 30 + 25 + 20 + 5 to 29 + 23 + 19 + 5 – a drop of 4.

    Hence, the maximum possible average will reduce by 4/5 = 0.8. Hence, the answer will be 27.2. 

  • Question 12
    3 / -1

    The average age of a group of persons going for a movie is 20 years. 10 new persons with an average age of 10 years join the group on the spot due to which the average of the group becomes 18 years. Find the number of persons initially going for the movie. 

    Solution

  • Question 13
    3 / -1

    Read the following:

    There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow:

    A Æ Highest score 22, Lowest score 18

    B Æ Highest score 31, Lowest score 23

    C Æ Highest score 33, Lowest score 26

    In a transfer of 5 students from A to C

    What will happen to the average score of A?

    Solution

    The effect on A will depend on the profile of the people who are transferred. Hence, anything can happen.

     

    So, the correct answer is D.

  • Question 14
    3 / -1

    An alloy is prepared by mixing three metals A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5: 2: 6. In 130 kg of the alloy, the weight, in kg, of the metal C is

    Solution

    Required weight of C=(7×63×5+4×2+7×6)×130=84C=(7×63×5+4×2+7×6)×130=84 kg

  • Question 15
    3 / -1

     Read the following:

    There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. If the three classes are represented by A, B and C and you have the following information about the three classes,

    answer the questions that follow:

    A Æ Highest score 22, Lowest score 18

    B Æ Highest score 31, Lowest score 23

    C Æ Highest score 33, Lowest score 26

    In a transfer of 5 students from B to C

    Which of these can be said about the average score of B?

    Solution

    If C increases, then the average of C goes up from 30. For this to happen it is definite that the average of B should drop.

    So, the correct option is B.

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