A batsman has an average of 30 runs in his 42 inning. difference between his maximum and minimum sco

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A batsman has an average of $30$ runs in his $42$ inning. The difference between his maximum and minimum score is $100 .$ If these two innings are removed his average for $40$ innings comes down to $28 .$ What is his minimum score?

A

$20$

B

$30$

C

$45$

D

$40$

Solution

Total runs of $42$ innings $=42 \times 30=1260$ Total run excluding min and max inning $=40 \times 28=1120$

$\max +\min =1260-1120=140$ $…..(i)$

$max – min =100$ $……(ii)$

On solving $(i)$ & $(ii)$ $\max =120, \quad \min =20$

Hence, minimum score is $20 .$

Standard 13

Quantitative Aptitude

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