Question

Directions: Answer the questions based on the information given below.
During the recent India- Australia bilateral 7 one-day international matches series Dhawan, Rohit and Kohli were in tremendous form and combinedly scored 7 centuries in these 7 games. Further, it is also known about their scores in the series:
1. In each game exactly one batsman scored a century.
2. Each of these three players scored at least one century and no two batsmen scored equal number of centuries.
3. Rohit did not score a century in the 2nd game and Kohli scored a century in the last game.
4. Dhawan did not score a century in the 1st and 4th game.
5 The player who scored a century in the 2nd game did not score a century in the 5th game.
6. The player who scored a century in the 4th game also scored a century in the 6th game.
7. The player who scored a century in the 3rd game did not score a century in the 1st game.
How many centuries did Dhawan score?

• A. 2
• B. 4
• C. Either 1 or 2
• D. Either 1 or 4

Answer 1

The correct option is C

Either 1 or 2

From statement 1 and 2 it is clear that these three batsmen scored, 1, 2, 4 centuries in any order. From the remaining information, we could form the following table:
$\begin{array}{cccccccc}& 1& 2& 3& 4& 5& 6& 7\\ Dhawn& N& & & N& & N& N\\ Rohit& & N& & & & & N\\ Kohli& & & & & & & C\end{array}$
'N, represents a less than 100 score 'C' represents a century.
From the given table it is clear that Dhawan scored either 1 or 2 centuries.