q: If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.7500, Shyam = Rs.1000, Mohan = Rs.750
(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.250
(D) Ram = Rs.1500, Shyam = Rs.1080, Mohan = Rs.750
(E) Ram = Rs.1500, Shyam = Rs.1002, Mohan = Rs.750
a: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750 The answer is (A).

question: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Options:
(A) 120 m
(B) 180 m
(C) 200 m
(D) Cannot be determined
(E) None of these
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 12 = 200 m The answer is (C).

q: A man rows his boat 95 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) 9 kmph
(D) 8 kmph
(E) 10 kmph
a: Stream of consciousness: Speed downstream = d/t = 95/(2 1/2) = 38 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (38 - 18)/2 = 10 kmph The answer is (E).

question: How much 50% of 56 is greater than 30% of 50?
Options:
(A) 18
(B) 99
(C) 13
(D) 55
(E) 71
answer: Stream of consciousness: (50/100) * 56 (30/100) * 50
28 - 15 = 13 The answer is (C).

q: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Options:
(A) 57%
(B) 60%
(C) 90%
(D) 65%
(E) 70%
a: Stream of consciousness: Req percentage = 11628/20400*100 = 57% The answer is (A).

q: Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2-2x+10
(D) x^2+2x+10
(E) x^2+4x+5
a:
Stream of consciousness: Avg = [(x+2)^2 + (x-4)^2] / 2
Expanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10 The answer is (C).