Question - Vedclass

English

Gujarati

Hindi

4.Average

medium

The average value of the numbers $15,21,32,35,$ $46$ $, x, 59,65,72$ should be greater than or equal to $43$ but less than or equal to $44 .$ Then the value of $x$ should be

A

$42 \leq x \leq 51$

B

$43 \leq x \leq 50$

C

$42 \leq x \leq 49$

D

$43 \leq x \leq 50$

Solution

$43 \leq$ Average $\leq 44$

$\Rightarrow 43 \leq \frac{345+x}{9} \leq 44$

$\Rightarrow 387 \leq 345+x \leq 396$

$\Rightarrow 387-345 \leq x \leq 396-345$

$\Rightarrow 42 \leq x \leq 51$

Std 13

Quantitative Aptitude

Share

Similar Questions

Amitabh's average expenditure for the $January$ to $June$ is $Rs.\, 4200$ and he spends $Rs.\, 1200$ in $January$ and $Rs. \,1500$ in $July.$ The average expenditure for the month of $February$ to $July$ is (in $Rs.$)

easy

The average marks of a student obtained in Physics, Chemistry and Biology is $70.$ If the student obtained $90\, marks$ in Mathematics, then the new average is

medium

The average age of $30$ women decreases by $3$ $months$ if a new person Neha is included in place of a $25\, year$ old woman. Calculate the age of Neha in $year$ ?

easy

The average age of $8$ men is increased by $2\, years.$ When $2$ of them, whose ages are $20\, years$ and $24 \,years$ respectively, are replaced by $2$ women. What is the average age of these two women ? (in $years$)

medium

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

easy