q: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 20
(C) 88
(D) 77
(E) 14
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (B).


question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a red shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 17
(B) 37
(C) 49
(D) 61
(E) 72
answer: Stream of consciousness: The correct answer should not take the form: 4x + 1. Hence, it is The answer is (E).


q: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/5
(B) 1/1
(C) 1/6
(D) 1/3
(E) 1/7
a: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).


question: 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 1.5 km long?
Options:
(A) 2 mins
(B) 3 mins
(C) 9 mins
(D) 8 mins
(E) 6 mins
answer: Stream of consciousness: D = 25 * 60 + 1500 = 3000 m
T = 3000/60 * 18/5 = 180 sec = 3 mins The answer is (B).


q: If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
Options:
(A) 50
(B) 60
(C) 55
(D) 70
(E) None of these
a: Stream of consciousness: Let the bill be x. Then
90% of x = 45
⇒ x = 45×100/90 = 50 The answer is (A).


q: The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.
Options:
(A) 259200 cm3
(B) 86400 cm3
(C) 720 cm3
(D) Cannot be determined
(E) None of these
a:

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
Stream of consciousness: Volume of the box = √120×72×60 = 720 cm3 The answer is (C).