q: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:
Options:
(A) 279
(B) 283
(C) 308
(D) 318
(E) 328
a: Stream of consciousness: Other number = (11 * 7700)/275 = 308. The answer is (C).

question: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 3 kmph
(E) 1 kmph
answer: Stream of consciousness: Speed downstream = d/t = 75/(5) = 15 kmph
Speed upstream = d/t = 45/(5) = 9 kmph
The speed of the stream = (15 - 9)/2 = 3 kmph The answer is (D).

q: The average of first 13 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a: Stream of consciousness: Sum of 13 even numbers = 13 * 14 = 110
Average = 182/13 = 14 The answer is (E).

question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?
Options:
(A) 4
(B) 9
(C) 2
(D) 11
(E) None
answer: Stream of consciousness: 1/7 + 1/14 + 1/28 = 7/28 = 1/4
All three can finish the work in 4 days The answer is (A).

q: A certain league has two divisions. The respective divisions had 11 and 13 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A) 41
(B) 42
(C) 45
(D) 47
(E) 49
a: Stream of consciousness: Overall, there can be 47 minuses. Tus, it is The answer is (D).

q: The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 26
(B) 45
(C) 90
(D) 80
(E) 65
a:
Stream of consciousness: It is clear that 23 x 45 = 10 x 55 + K + 11 x 40 K = 45 The answer is (B).