question: Which one of the following is a prime number?
Options:
(A) 55
(B) 2
(C) 74
(D) 25
(E) 21
answer: Stream of consciousness: 2 is divisible by 1 and itself So, it is a prime number. The answer is (B).

q: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 170, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 115, 15 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (100+130)/2 = 115 kmph. Speed of the stream = (100-130)/2 = 15 kmph The answer is (D).

question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Options:
(A) 125 m
(B) 104 m
(C) 140 m
(D) 152 m
(E) 150 m
answer: Stream of consciousness: D = 90 * 5/18 * 5 = 125 m The answer is (A).

q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 9490
(E) 1268
a: Stream of consciousness: A = 7500(26/25)^6 = 9490 The answer is (D).

question: he population of a city is 120,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 137787
(B) 134832
(C) 139776
(D) 139728
(E) 139718
answer: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 120000 * [1 + 6/100]2 = (120000 x 53/50 x 53/50) = 134832 The answer is (B).

question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
Options:
(A) 2
(B) 4
(C) 12
(D) 0
(E) 13
answer:
Stream of consciousness: E
13
This is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next. The answer is (E).