question: An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Options:
(A) 180
(B) 345
(C) 234
(D) 488
(E) 234
answer: Stream of consciousness: Angle traced by the hour hand in 6 hours = (360)/12x 6 = 180. The answer is (A).

q: What should come in place of the question mark (?) in the following equation?
5679 + 1438 2015 = ?
Options:
(A) 5192
(B) 5012
(C) 5102
(D) 5002
(E) None of these
a: Stream of consciousness: ? = 5679 + 1438 2015 = 5102 The answer is (C).

question: What is the maximum number of pieces of birthday cake of size 3" by 3" that can be cut from a cake 21" by 21"?
Options:
(A) 5
(B) 7
(C) 49
(D) 20
(E) 25
answer: Stream of consciousness: The prompt is essentially asking for the maximum number of 3x3 squares that can be cut from a larger 21 by 21 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 7 'pieces' each, we have (7)(7) = 49 total smaller squares (at maximum). The answer is (C).

q: Which of the following is equal to the average (arithmetic mean) of (x+1)^2 and (x-1)^2?
Options:
(A) x^2
(B) x^2+1
(C) x^2 +4
(D) x^2+2x
(E) x^2+4x
a: Stream of consciousness: Avg = [(x+1)^2 + (x-1)^2] / 2
Expanding and simplifying, (x^2 + 2x + 1 + x^2 -2x + 1 ) / 2 = x^2 + 1 The answer is (B).

question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?
Options:
(A) 34 Seconds
(B) 18 Seconds
(C) 41 Seconds
(D) 24 Seconds
(E) 29 Seconds
answer: Stream of consciousness: Distance travelled = 140 + 160m = 300m
Speed = 60 * 5/8 = 50/3m
Time = 300 * 3/50 = 18 Seconds The answer is (B).

question: In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?
Options:
(A) 76 metres
(B) 80 metres
(C) 70 metres
(D) 84 metres
(E) None
answer:
Stream of consciousness: A runs B runs C runs
600 metres race 600m 540 m
500 metres race 500 m 450m
Combing ratio A runs B runs C runs
300metres - 2700meters - 2430metres
Unitary A runs B runs C runs
Method 400mtres - 360 metres - 324 metres
? A beats C by 400-324 = 76 metres. The answer is (A).