PYQ Vault

Average of consecutive integers, evens or odds (the middle term)

This type of question, asked 6 times: CDS 1 2017, CDS 1 2018, CDS 2 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    56
    Let a,b,c,d,e,f,ga, b, c, d, e, f, g be consecutive even numbers and j,k,l,m,nj, k, l, m, n be consecutive odd numbers. What is the average of all the numbers ?

    Tap an option to check your answer.

  2. Question 2

    CDS 1 2018

    44
    If the average of 9 consecutive positive integers is 55, then what is the largest integer?

    Tap an option to check your answer.

  3. Question 3

    CDS 2 2019

    63
    The average of 50 consecutive natural numbers is x. What will be the new average when the next four natural numbers are also included ?

    Tap an option to check your answer.

  4. Question 4

    CDS 2 2020

    98
    The mean of five observations xx, x+2x + 2, x+4x + 4, x+6x + 6, x+8x + 8 is mm. What is the mean of the first three observations ?

    Tap an option to check your answer.

  5. Question 5

    CDS 2 2022

    66
    If M is the mean of the first 100 even natural numbers, then what is the mean of the first 100 odd natural numbers ?

    Tap an option to check your answer.

  6. Question 6

    CDS 2 2024

    80
    What is the difference between the average of first 50 even natural numbers and the average of first 50 odd natural numbers ?

    Tap an option to check your answer.