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) 20
(B) 40
(C) 45
(D) 25
(E) 60
Answer and stream of consciousness: (A)
Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20

The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 35%
(D) 40%
(E) 55%
Answer and stream of consciousness: (E)
Stream of consciousness: Cost price of article = 48$
% of overhead cost = 30
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 30 = 55%

A, B and C can do a work in 7 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 50/59
(B) 2 5/59
(C) 2 2/50
(D) 2 2/59
(E) 2 1/59
Answer and stream of consciousness: (A)
Stream of consciousness: Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168
The number of days required = 168/59 = 2 50/59 days.

A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m
Answer and stream of consciousness:
(D)
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m