Arithmetic

Averages

Conceptual

$\begin{array}{|c|c|c|} \hline \textbf{List I} & \textbf{List II} \\ \hline \text{A. Mean of first five prime numbers is} & \text{I. 12} \\ \hline \text{B. Mean of all factors of 24 is} & \text{II. 7.5} \\ \hline \text{C. Mean of first six multiples of 4 is} & \text{III. 5.6} \\ \hline \text{D. If the mean of } x - 5y, x - 3y, x - y, \\x + y, x + 3y \text{ and } x + 5y \text{ is 12, then } x \text{ is} & \text{IV. 14} \\ \hline \end{array}$

Match List I with List II. Choose the correct answer from the options given below:

A-II, B-I, C-III, D-IV

A-III, B-II, C-IV, D-I

A-I, B-IV, C-II, D-III

A-IV, B-III, C-I, D-II

✅ Correct Option: 2

Let's solve each case:

A) First five prime numbers: 2, 3, 5, 7, 11

Mean = $\frac{2+3+5+7+11}{5} = \frac{28}{5} = 5.6$ (matches III)

B) Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Mean = $\frac{1+2+3+4+6+8+12+24}{8} = \frac{60}{8} = 7.5$ (matches II)

C) First six multiples of 4: 4, 8, 12, 16, 20, 24

Mean = $\frac{4+8+12+16+20+24}{6} = \frac{84}{6} = 14$ (matches IV)

D) Mean = 12 for expressions:

$x-5y, x-3y, x-y, x+y, x+3y, x+5y$

Sum = $6x$ (y terms cancel)

$\frac{6x}{6} = 12$

Therefore $x = 12$ (matches I)

Hence, Option 2 is the answer.

JIPMAT 2026

The average age of 8 men increases by 4 years when one of them whose age is 30 years is replaced by a new man. What is the age of new man?

JIPMAT 2023

Which of the following statements are True?

A. The mean of x, y, z is y. Then x + z = 2y.
B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.

Choose the correct answer from the options given below:

JIPMAT 2025

Let x be median of the data $13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.$ If $8$ is replaced by $18$ , then the median of data is $y$ , then the sum of $x$ and $y$ is equal to:

JIPMAT 2022

If the mean of $a$ , $b$ , and $c$ is $M$ ; $ab + bc + ca = 0$ ; and the mean of $a^2$ , $b^2$ and $c^2$ is $KM^2$ , then $K$ is equal to

JIPMAT 2021

In a cricket team of 11 players, the average age is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years, and 30 years respectively. If in these groups, the captain and the youngest player are not included and the captain is eleven years older than the youngest player, then the age of the captain is

JIPMAT 2026

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

Match List I with List II. Choose the correct answer from the options given below:

Solution

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