Question

Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks and then he stops. At which mark does he stop?
I. He stops after 21 coin tosses.
II. He obtains three more tails than heads

• A. if the question can be answered by using one of the statements alone but not by using the other statement alone.
• B. if the question can be answered by using either of the statements alone
• C. if the question can be answered by using both statements together but not by either statement alone
• D. if the question can be answered on the basis of the two statements.

Answer 1

The correct option is B if the question can be answered by using either of the statements alone


From statement I alone,
As the number of steps is odd, Tarak could not reach the red mark, which is only 2 steps (i.e even number of steps) away from Tarak. Tarak should have reached the Blue Mark. Statement I alone is sufficient.
From Statement II alone,
As the net movement is three steps to the left side, he will reach the blue mark.
$\therefore$ Statement II alone is sufficient.