**Question:**The batting average (BA) of a Test batsman is computed from runs scored and innings played — completed innings and incomplete innings (not out) in the following manner:

r_{1}= Number of runs scored in completed innings

n_{1}= Number of completed innings

r_{2}= Number of runs scored in incomplete innings n_{2}= Number of incomplete innings

A = \(\frac{{{{\rm{r}}_1} + {{\rm{r}}_2}}}{{{{\rm{n}}_{\rm{1}}}}}\)

To better assess a batsman’s accomplishments, the ICC is considering two other measures MBA_{1}and MBA_{2}defined as follows:

\({\rm{MB}}{{\rm{A}}_1} = \frac{{{r_1}}}{{{n_1}}} + \frac{{{n_2}}}{{n1}}\max \left[ {0,\left( {\frac{{{r_2}}}{{{n_2}}} - \frac{{{r_1}}}{{{n_1}}}} \right)} \right]\)

\({\rm{MB}}{{\rm{A}}_2} = \frac{{{r_{1 + }}{r_2}}}{{{n_1} + {n_2}}}\)

An experienced cricketer with no incomplete innings has BA of 50. The next time he bats, the innings is incomplete and he scores 45 runs. It can be inferred that

- BA and MBA
_{1}will both increase - BA will increase and MBA
_{2}will decrease - BA will increase and not enough data is available to assess change in MBA
_{1}and MBA_{2} - None of these

## CAT Quant Questions with Video Solutions

- CAT Quant Questions Set 01
- CAT Quant Questions Set 02
- CAT Quant Questions Set 03
- CAT Quant Questions Set 04
- CAT Quant Questions Set 05
- CAT Quant Questions Set 06