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Aptitude miscellaneous
  1. The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29, the difference between the remaining two integers is 15. Which of the following is the smaller of the remaining two integers ?










  1. View Hint View Answer Discuss in Forum

    Let one integer be x.
    ∴ Other ingeger x + 15
    According to the question,
    29 + x + x + 15+ 108 = 4 x 73.5
    ⇒ 2x + 152 = 294
    ⇒ 2x = 294 - 152 = 142
    ⇒ x = 142/2 = 71

    Correct Option: E

    Let one integer be x.
    ∴ Other ingeger x + 15
    According to the question,
    29 + x + x + 15+ 108 = 4 x 73.5
    ⇒ 2x + 152 = 294
    ⇒ 2x = 294 - 152 = 142
    ⇒ x = 142/2 = 71

  1. A cricketer scored some runs in his continuous 9 innings. He scored 100 runs in his 10th innings and increase his average by 8 runs. What was the average of his runs at the end of 10 th innings ?










  1. View Hint View Answer Discuss in Forum

    Let average of a inning = x
    Total runs = 9x
    According to the question,
    (9x + 100) /10 = x + 8

    Correct Option: C

    Let average of a inning = x
    Total runs = 9x
    According to the question,
    (9x + 100) /10 = x + 8
    ⇒ 9x + 100 = 10x + 80
    x = 20
    Average after 10 inning = 20 + 8 = 28

  1. Three year ago, the average age of a family of five members was 27 yr. The present average age is also 27 yr after the inclusion of a child into the family. Find the age of the child.








  1. View Hint View Answer Discuss in Forum

    Total age of 5 memeber (3 yr ago) = 27 x 5 = 135 yr
    Total age of 5 members (at present) = 135 + 5 x 3 = 150 yr.
    Let the persent age of child = x
    ∴ 27 = (150 + x)/6

    Correct Option: B

    Total age of 5 memeber (3 yr ago) = 27 x 5 = 135 yr
    Total age of 5 members (at present) = 135 + 5 x 3 = 150 yr.
    Let the persent age of child = x
    ∴ 27 = (150 + x)/6
    ⇒ x = 162 - 150 = 12 yr.

  1. The average age of three boys is 15 yr. If the ratio of their ages is 3 : 5 : 7, What is the age of the oldest boy ?










  1. View Hint View Answer Discuss in Forum

    Total age of all three boys
    = 3 x 15 = 45 yr
    Ratio of ages = 3 : 5 : 7

    Correct Option: D

    Total age of all three boys
    = 3 x 15 = 45 yr
    Ratio of ages = 3 : 5 : 7
    ∴ Age of the oldest boy
    = [7/(3 + 5 + 7)] x 45 = (7/15) x 45 = 21 yr

  1. Nine friends have dinner in a hostel. Eight of them spent ₹ 12 each on their meals and the ninth spent ₹ 16 more than the average expenditure of all the nine. Find out the total money spent by them ?










  1. View Hint View Answer Discuss in Forum

    Let average expenditure of 9 persons = x.
    According to the question,
    12 x 8 + (x + 16) = 9x

    ∴ Total money spent = 9x

    Correct Option: A

    Let average expenditure of 9 persons = x.
    According to the question,
    12 x 8 + (x + 16) = 9x
    ⇒ 8x = 112
    ⇒ x = 112/8 = 14
    ∴ Total money spent = 9x = 9 x 14 = ₹ 126