Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?
Options:
(A) 15 7/9 days
(B) 16 17/9 days
(C) 15 1/19 days
(D) 14 7/12 days
(E) 14 7/9 days

1/25 + 1/35 = 12/175
175/12 = 14 7/12 days So the answer is: (D).

K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15

550 = 2*222 + (22*4) + 9*2
K weight of 600 = 2 +4+9 = 15 So the answer is: (E).

There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
Options:
(A) 7
(B) 5
(C) 13
(D) 20
(E) 4

If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy So the answer is: (B).

In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.
Options:
(A) 33
(B) Monday
(C) 299
(D) 299
(E) 277
Ans: If a month has 31 days, and it starts with sunday, Then Sundays, Mondays, tuesdays are 5 for that month. If this month starts with monday, then mondays, tuesdays, and wednesdays are 5 and remaining days are 4 each. so this month start with Monday. So the answer is: (B).