The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs, find his highest score.  Select:
A) 179  B) 367  C) 189  D) 177  E) 191
Explanation:   Total runs scored by the batsman = 60*46= 
<gadget id="calculator">60*46</gadget>
<output>2_760</output>
2760 runs   Now excluding the two innings the runs scored= 58*44= 
<gadget id="calculator">58*44</gadget>
<output>2_552</output>
2552 runs   Hence the runs scored in the two innings= 2760 â€“ 2552 = 208 runs.   Let the highest score be x, hence the lowest score = x â€“ 170   x + (x - 170) = 208   2x = 378   x = 189 runs   ANSWER: 189
<result>C</result>
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 170 runs and his average excluding these two innings is 58 runs, find his highest score.