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Aptitude miscellaneous
  1. Out of 4 numbers, whose average is 60, the first one is onefourth of the sum of the last three. The first number is








  1. View Hint View Answer Discuss in Forum

    Let the first number be p,

    then, p =
    240 - x
    		 = 48
    4

    ⇒ 4p = 240 – p

    Correct Option: C

    Let the first number be p,

    then, p =
    240 - x
    		 = 48
    4

    ⇒ 4p = 240 – p
    ⇒ 5p = 240
    ⇒ p = 240 ÷ 5 = 48

  1. The average of 18 observations is recorded as 124. Later it was found that two observations with values 64 and 28 were entered wrongly as 46 and 82. Find the correct average of the 18 observations.








  1. View Hint View Answer Discuss in Forum

    As per the given details in question ,
    Difference in observations = 64 + 28 – 46 – 82 = – 36

    ∴ Correct average = 124 -
    36
    18

    Correct Option: B

    As per the given details in question ,
    Difference in observations = 64 + 28 – 46 – 82 = – 36

    ∴ Correct average = 124 -
    36
    		 = 122
    18

  1. In an exam, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. The total number of candidates who took the exam, was








  1. View Hint View Answer Discuss in Forum

    Let the number of candidates be n, then
    According to question ,
    60n – 45n = 30 × 100
    ⇒ 15n = 3000

    Correct Option: A

    Let the number of candidates be n, then
    According to question ,
    60n – 45n = 30 × 100
    ⇒ 15n = 3000

    ⇒ n =
    3000
    		 = 200
    15

  1. The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average marks of the top 5 students is








  1. View Hint View Answer Discuss in Forum

    The average marks obtained by 40 students of a class = 86
    If the 5 highest marks are removed, the average reduces by one mark , then
    Sum of marks of top 5 students = 40 × 86 – 35 × 85
    Sum of marks of top 5 students = 3440 – 2975 = 465

    Correct Option: C

    The average marks obtained by 40 students of a class = 86
    If the 5 highest marks are removed, the average reduces by one mark , then
    Sum of marks of top 5 students = 40 × 86 – 35 × 85
    Sum of marks of top 5 students = 3440 – 2975 = 465
    ∴ Their average = 465 ÷ 5 = 93

  1. The average of six numbers is 20. If one number is removed, the average becomes 15. What is the number removed ?








  1. View Hint View Answer Discuss in Forum

    Given that ,The average of six numbers = 20
    ⇒ sum of six numbers = 6 × 20 = 120
    The average of 5 numbers = 15
    ⇒ sum of six numbers = 5 × 5 = 75
    ∴ Required number = sum of six numbers – sum of five numbers

    Correct Option: D

    Given that ,The average of six numbers = 20
    ⇒ sum of six numbers = 6 × 20 = 120
    The average of 5 numbers = 15
    ⇒ sum of six numbers = 5 × 5 = 75
    ∴ Required number = sum of six numbers – sum of five numbers
    Required number = 120 – 75 = 45