q: 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
a: Stream of consciousness: 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. The answer is (B).

question: In how many different ways could couples be picked from 8 men and 5 women?
Options:
(A) 8
(B) 5
(C) 13
(D) 40
(E) 20
answer: Stream of consciousness: Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways The answer is (D).

q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 13
(B) 18
(C) 40
(D) 37
(E) 40
a: Stream of consciousness: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).

question: A train does a journey without stoppage in 8 hours, if it had travelled 5 km/h faster, it would have done the journey in 6 hours 40 minutes. Find its original speed.
Options:
(A) 25 km/h
(B) 40 km/h
(C) 45 km/h
(D) 36.5 km/h
(E) None of these
answer: Stream of consciousness: Let original speed = S km/h
Here, distance to be covered is constant
S 8 = (S + 5)(203)
8S - 203S = 1003 S = 1004 = 25 km/h The answer is (A).

q: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 76 minutes
(B) 29 minutes
(C) 70 minutes
(D) 17 minutes
(E) 98 minutes
a: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).

q: One copy machine can make 30 copies a minute, and a second copy machine makes 15 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?
Options:
(A) 15 minutes
(B) 20 minutes
(C) 25 minutes
(D) 30 minutes
(E) 35 minutes
a:
Stream of consciousness: Total work done by both machines in a minute = 30 + 15 = 45 copies
Total number of copies required = 900
Time = 900/45 = 20 mins The answer is (B).