q: he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 123596
(B) 1237723
(C) 123776
(D) 123728
(E) 123718
a: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 110000 * [1 + 6/100]2 = (110000 x 53/50 x 53/50) = 123596 The answer is (A).

question: An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 4 picks?
Options:
(A) 210
(B) 350
(C) 110
(D) 120
(E) 840
answer: Stream of consciousness: Number of ways of ch0osing 4 stocks = 5C4
Number of ways of ranking the chosen stocks = 4!
Hence total ways of chosing and ranking = 5C4 * 4! = 120 The answer is (D).

q: In e is a positive integer smaller than 200 and (14e)/60 is an integer, then e has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 7e/30 tells us that e is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).

question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 125
(B) 126
(C) 127
(D) 128
(E) 129
answer: Stream of consciousness: 1 to 11 = 11 * 44 = 484
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 484 = 125 The answer is (A).

q: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
Options:
(A) Rs.49.17
(B) Rs.58
(C) Rs.54.17
(D) Rs.55.33
(E) None of the above
a: Stream of consciousness: 54*10 = 540
66*5 = 330
870/15 = 58 The answer is (B).

q: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 300. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 750
(C) s 300
(D) s 450
(E) s 550
a:
Stream of consciousness: Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 300 = 750 The answer is (B).