q: 10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 127 days
(B) 150 days
(C) 177 days
(D) 187 days
(E) 225 days
a: Stream of consciousness: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/5
15 women's 1 day work = (1/5 - 10/100) = 1/10
1 woman's 1 day work = 1/150
1 woman alone can complete the work in 150 days. The answer is (B).

question: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 3387
(B) 277
(C) 223
(D) 992
(E) 213
answer: Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992 The answer is (D).

q: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?
Options:
(A) 20
(B) 26
(C) 24
(D) 22
(E) 30
a: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26. The answer is (B).

question: Find the average of the first 9 natural numbers?
Options:
(A) 8
(B) 5
(C) 10
(D) 11
(E) 12
answer: Stream of consciousness: Average of the first 'n' natural numbers = (n + 1)/2
We get (9 + 1)/2 = 5 The answer is (B).

q: How many digits are in the number 50^8 8^3 11?
Options:
(A) 18
(B) 20
(C) 19
(D) 22
(E) 17
a: Stream of consciousness: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 8^3 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16
Hence we would have 16 trailing 0's and the three digits from 22
Total digits = 2 + 16 = 18 The answer is (A).

q: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 999
(D) 278
(E) 121
a:
Stream of consciousness: I = (500*9*6)/100 = 270 The answer is (B).