q: A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
Options:
(A) 6
(B) 8
(C) 10
(D) 12
(E) 15
a: Stream of consciousness: If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it. The answer is (C).

question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 4556
(B) 2354
(C) 4576
(D) 6768
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

q: A train running at the speed of 60 km/hr crosses a pole in 6 sec. What is the length of the train?
Options:
(A) 356
(B) 278
(C) 127
(D) 100
(E) 150
a: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 6 = 100 m The answer is (D).

question: The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 2 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Options:
(A) 3.
(B) 7.
(C) 10.
(D) 12.
(E) 15.
answer: Stream of consciousness: Time taken by the birds to meet = 15/(2 + 1) = 5 mins
Distance traveled by the bird traveling from West-Town = 2 * 5 = 10 The answer is (C).

q: A man rows his boat 105 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 5 kmph
(B) 7 kmph
(C) 12 kmph
(D) 8 kmph
(E) 1 kmph
a: Stream of consciousness: Speed downstream = d/t = 105/(2 1/2) = 42 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (42 - 18)/2 = 12 kmph The answer is (C).

q: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 39
(B) 37
(C) 342
(D) 288
(E) 261
a:
Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).