Discussion

Explanation:

Let Tarak get h heads and t tails.

Let Tarak be at 0 on the number line.

Then the blue mark is at –3 and the red mark is at 2.

Consider statement A: h + t = 21 and

h – t = 2 (if he stops at the red mark) or

h – t = –3 (if he stops at the blue mark)

Solving, 2h = 23 (however, this is not possible)

or 2h = 18

 ∴ h = 9 and t = 12

∴ Tarak stops at the blue mark.

∴ Statement A is sufficient.

Consider statement B: h = t – 3 and h – t = 2 or h – t = –3

∴ He stops at the blue mark.

∴ Statement B is also sufficient.

Hence, option (b).

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