If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Options:
(A) $10
(B) $20
(C) $30
(D) $40
(E) $50
Answer and stream of consciousness: (E)
Stream of consciousness: Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50


What should come in place of the question mark (?) in the following equation?
90000 + 5010 = 87050 + ?
Options:
(A) 7960
(B) 7554
(C) 8465
(D) 4578
(E) 4689
Answer and stream of consciousness: (A)
Stream of consciousness: 90000 + 5010 = 87050 + ?
90000 + 5010 – 87050 = 7960


A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 4.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 6
(E) 9
Answer and stream of consciousness: (D)
Stream of consciousness: D = 25 * 60 + 4500 = 6000 m
T = 6000/60 * 18/5 = 360 sec = 6 mins


If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484
Answer and stream of consciousness:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
(D)
Stream of consciousness: I will go with D (pending elements to match is 2^2*3^2*10^1 = 360