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Aptitude Test 302
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Aptitude Test 302
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  • Question 1/10
    1 / -0.33

    Average age of a group of 15 boys is 24 years. A boy having age 13 years leaves the group. A new boy joins the group and the average increases by 1 year. What is the age of the new boy?

    Solutions

    Old Total Age = Average ×​ Number of Boys

    Old Total Age = 24 × 15 ​ = 360

    New Total Age = New Average × Number of Boys ​

    New Total Age = 25 × 15 = 375

    Age of New Boy = New Total Age - Old Total Age + Age of Boy Who Left

    Age of New Boy = 375 - 360 + 13 = 28

    Thus, the age of the new boy is 28 years.

     

  • Question 2/10
    1 / -0.33

    The average age of 12 players and their coach is 32 years. The average age of first 5 players is 28 years and average age of the remaining 7 players is 26 years. What is the age of the coach?

    Solutions

     

  • Question 3/10
    1 / -0.33

    A group of people contains men, women and children. If 40% of them are men, 35% are women and rest are children. and their average weights are 70 kg,60 kg and 30 kg, respectively. The average weight of the group is:

    Solutions

     

  • Question 4/10
    1 / -0.33

    A class of 30 students appeared in a test. The average score of 12 students is 80 and that of the rest is 75. What is the average score of the class?

    Solutions

     

  • Question 5/10
    1 / -0.33

    Which of the following statements(s) is/are correct?

    I. The average of 24 numbers is 22. If the average of first 9 numbers is 18, then average of remaining numbers will be 24.4.

    II. Average of 149, 223, 520, 287 and 251 is 286.

    Solutions

     

  • Question 6/10
    1 / -0.33

    The average age of a group of 9 members is 42 years. The age of the eldest member is 58 years. If we exclude that eldest member from the group, then what will be the average age of the remaining members?

    Solutions

    Total age of 9 members = 9 × 42 = 378 years

    After excluding the eldest member, total age of remaining 8 members = 378 - 58 = 320 years

    Average age of remaining members = 320/8 ​​= 40 years

     

  • Question 7/10
    1 / -0.33

    Typist P can type a sheet in 6 minutes, typist Q in in 7 minutes and typist R in 9 minutes. The average number of sheets typed per hour per typist if all three typists are typing, is____________.

    Solutions

    In 60 minutes, i.e., 1 hour,

    Typist P can type = 60/6 = 10 sheets

    Typist Q can type = 60/7 = 60/7 sheets

    Typist R can type = 60/9 = 20/3 sheets

    Total typed sheets in 1 hour = 10 + 60/7 + 20/3 = 530/21

    The average number of sheets typed per hour per typist if all three typists are typing

    ⇒ (530/21) ÷ 3

    ⇒ 530/63

    The average number of sheets typed per hour per typist if all three typists are typing is 530/63.

     

  • Question 8/10
    1 / -0.33

    In a Diwali gift packaging contest, the average weight of 20 gift boxes was calculated to be 65 kg. However, it was later discovered that the weight of one gift box was incorrectly recorded as 76 kg instead of the correct weight of 66 kg. What is the correct average weight of the gift boxes?

    Solutions

    First, calculate the incorrect total weight of all gift boxes:

    Incorrect total weight = 65 × 20 = 1300 kg

    Now, correct the total weight by subtracting the incorrect weight and adding the correct weight:

    Corrected total weight = 1300 - 76 + 66 = 1290 kg

    Finally, calculate the correct average weight:

    Corrected average weight = 1290 / 20 = 64.5 kg

     

  • Question 9/10
    1 / -0.33

    The average cost of buying Diwali sweets and decorative items for 4 friends is Rs.150 each. If three of them spent Rs.120, Rs.180, and Rs.140, what did the fourth friend spend?

    Solutions

    Total amount spent by 4 friends:

    Since the average cost per friend is 150,

    Total Amount = 150 × 4 = Rs.600

    Total of three friends = 120 + 180 + 140 = Rs. 440

    Amount spent by the fourth friend = 600 - 440 = Rs.160

    The fourth friend spent Rs.160.

     

  • Question 10/10
    1 / -0.33

    The mean of 21 observations is 42. If out of 21 given observations, the mean of the first 11 observations is 50 and the mean of the last 11 observations is 35, then the 11™ observation will be:

    Solutions

    Total of 21 observation = 42 × 21= 882

    Total of 1st 11 observation = 11 × 50= 550

    Total of last 11 observation = 11 × 35=385

    Total of first and last 11 observation =550+385 935

    So, 11th observation = 935 - 882= 53

     

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