QUANTITATIVE

70. The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is:

a. 17/53

b. 1/53

c. 3/7

d. None of these

Solution:

In a leap year there are 52 weeks and 2 extra days. Thus 5 of the seven week days occur 52 times and the remaining 2 occur 53 times. Now, these two extra days could be

S, M

M, T

T, W

W, T

T, F

F, S

S, S

Of these 7 cases, only (S, M), (M, T) and (S, S) are favourable. Therefore, the required probability = Choice (c)