Average

  1. Question: The average of five result is `46`and that of the first four is `45`.The fifih result is:

    A
    `1`

    B
    `10`

    C
    `12.5`

    D
    `50`

    Note: Fifth result `= (5 xx 46 - 4 xx 45)` `= 50`.
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  2. Question: The average of Kanchan,s marks in `7` subjects is `75`.His average in six subject excluding Seciene is `72`.How many marks did he get in Seciene ?

    A
    `72`

    B
    `90`

    C
    `93`

    D
    None of these

    Note: Marks in Seciene `= (7 xx 75 - 6 xx 72)` `= 93`
    1. Report

  3. Question: The average of eight numbers is `14`. The average of six of these numbers is `16`.The average of the remaining two numbers is :

    A
    `4`

    B
    `8`

    C
    `16`

    D
    Date inadequate

    Note: The total sum of remaining two `= (8 xx 14 - 6 xx 16)` `= 16`. :. Average of these two numbers `= 16/2` `= 8`
    1. Report

  4. Question: The average price of these items of furniture is Rs `15000`.If their prices are in the raatio `3:5:7`,the price of the cheapest items is:

    A
    `Rs 9000`

    B
    `Rs 15000`

    C
    `Rs 18000`

    D
    `Rs 21000`

    Note: Let thier prices be `3x,5x`and `7x`. Then,`3x + 5x + 7x` `= (15000 xx 3)` `or x = 3000`. Cost of cheapest item `= 3x = Rs 9000`
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  5. Question: Of the three numbers ,second is twice the fist and is also thrice the third .If the average of the three numbers is `44`, the largest number is:

    A
    `24`

    B
    `36`

    C
    `72`

    D
    `108`

    Note: Let `3rd` number be x. Then,second number `= 3x`. ;.First number `= 3x/2`. `:. x + 3x + 3x/2` `= (44 xx 3)` `or (11x)/2` `= 44 xx 3` `or x = 24`. Largest number = 2nd number `= 3x = 72`
    1. Report

  6. Question: The average of ten numbers is `7`.If each number is multiplied by `12`,then the average of new set of numbers is :

    A
    `7`

    B
    `19`

    C
    `82`

    D
    `84`

    Note: Average of new set `= (12 xx 7)` `= 84`.
    1. Report

  7. Question: A man spends Rs `1800` monthly on an average for the first four months and Rs `2000`monthly for the next eight months and saves Rs `5600` a year .His average monthly income is:

    A
    `Rs 2000`

    B
    `Rs 2200`

    C
    `Rs 2400`

    D
    `Rs 2600`

    Note: Total annual income `= Rs (1800 xx 4 + 2000 xx 8 + 5600)` `= Rs 28800`. :. Average monthly income `Rs ((28800)/12)` `= Rs 2400`.
    1. Report

  8. Question: The average age of `30`students of a class is `12` years .The average age of a group of `5`of the students is `10`years and that of another group of `5`of them is `14` years . What is the average age of the remaining students ?

    A
    `8 years`

    B
    `10 years`

    C
    `12 years`

    D
    `14 years`

    Note: Total age of `20`students `= (30 xx 12) - (5 xx 10 + 5 xx 14)` `= 240 years` :. Required average `= (240/20)` `= 12 years`
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  9. Question: A class has two section, in one of which there are `40`students with an average of `14.5` years .The average of the class is `14.2`years .If there be `32`students in the other section ,its average age is :

    A
    `13.5 years`

    B
    `13.6 years`

    C
    `13.7 years`

    D
    None

    Note: Total age of `32`students `= (72 xx 14.2 - 40 xx 14.5) years` `= (1022.4 - 580) years` `= 442.4 years` :. Required average `= 442.4/32` `= 13.825 years`
    1. Report

  10. Question: The average of `50`numbers is `38`.If two numbers, namely `45`and `55` are discarded,the average of the remaining numbers is :

    A
    `36.5`

    B
    `37`

    C
    `37.5`

    D
    `37.52`

    Note: Total sum of `48` numbers `= [50 xx 38 - (45 + 55)]` `= 1800` :. Required average `= 1800/48` `= 37.5`.
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