q: A train 200 m long running at 80 kmph crosses a platform in 22 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 350
(D) 288
(E) 271
a: Stream of consciousness: D = 80 * 5/18 = 22 = 488 200 = 288 The answer is (D).

question: A train 360 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?
Options:
(A) 29
(B) 18
(C) 48
(D) 99
(E) 32
answer: Stream of consciousness: D = 360 + 120 = 480
S = 54 * 5/18 = 15 mps
T = 480/15 = 32 sec The answer is (E).

q: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?
Options:
(A) (5y-1) /(755-y)
(B) 5/(755+y)
(C) 5y/(755+y) -1
(D) 5y/(755+y)
(E) 5y
a: Stream of consciousness: The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y). The answer is (B).

question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96
(E) 95
answer: Stream of consciousness: A prime factors are 3 and 11. 33<sqrt(99)? no
B prime factors are 2 and 7. 14<sqrt(98)? no
C prime number. its sqrt is never greater than itself
D A prime factors are 2 and 6. 6<sqrt(96)? yes
E prime factors are 5 and 19. 45<sqrt(95)? no The answer is (D).

q: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15
a: Stream of consciousness: 550 = 2*222 + (22*4) + 9*2
K weight of 600 = 2 +4+9 = 15 The answer is (E).

q: A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 12 metre
(C) 120 metre
(D) 1200 metre
(E) 130 metre
a:
Stream of consciousness: Number of times wheel moves in 1 hour = 10 * 60 = 600
:. Distance moves = (600 *20) cms = 12000 cms
In metres = 120 metre The answer is (C).