A batsman makes a score of 270 runs in 87^{th} inning and thus increases his average by a certain nu

English

Gujarati

Hindi

4.Average

easy

A batsman makes a score of $270$ runs in the $87^{th}$ inning and thus increases his average by a certain number of runs that is a whole number. Find the possible values of the new average.

A

$98$

B

$184$

C

$12$

D

All of these

Solution

Let his Avg be $A$ And increased average $= A + x$

$86 A\,+\,270\,=\,87(A+x) \Rightarrow x=\frac{(270-A)}{87}$

if $x$ be a whole number possible value of $A$ $A=9,96,183,270$ for $x=3,2,1,0$

So new value $=12,98,184,270$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The daily earnings of a taxi driver during a week are: $Rs.0\,, Rs.65\,, Rs.70\,, Rs.52.50\,, Rs.63\,, Rs.73\,$ and $Rs.68$ What is his average daily earning for the week? (in $Rs.$)

medium

A cricketer has a certain average for $10$ innings. In the eleventh inning, he scored $108$ runs, thereby increasing his average by $6$ runs. His new average is

medium

The average weight of $A , B$ and $C$ is $45\, kg$. If the average weight of $A$ and $B$ is $40 \,kg$ and that of $B$ and $C$ is $43\, kg$, then the weight of $B$ is

hard

What is the average of all numbers between $8$ and $74$ which are divisible by $7\, ?$

medium

There was one mess for $30$ boarders in a certain hostel. On the number of boarders being increased by $10,$ the expenses of the mess were increased by $Rs.\,40$ per month while the average expenditure per head diminished by $Rs.\,2.$ Find out actual monthly expenses. (in $Rs.$)

easy