q: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Options:
(A) 25
(B) 5
(C) 15
(D) 20
(E) 30
a: Stream of consciousness: Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec. The answer is (B).

question: The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
Options:
(A) 30
(B) 18
(C) 28
(D) 25
(E) 32
answer: Stream of consciousness: (Mathematics + Algebra) - (Algebra + Geometry) = 28
Mathematics - Geometry = 28 The answer is (C).

q: A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?
Options:
(A) 8 km/hr
(B) 10 km/hr
(C) 150 km/hr
(D) 16 km/hr
(E) None of these
a: Stream of consciousness: Distance covered by the car = 100 5 = 500 km
\ Speed = 5002 = 250 km/hr
\ Speed gain = 250 100 = 150 km/hr The answer is (C).

question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 75 m
(B) 180 m
(C) 324 m
(D) Cannot be determined
(E) None of these
answer: Stream of consciousness: Speed = 30 * 5/18 = 25/3 m/sec
Length of the train = speed * time = 25/3 * 9 = 75 m The answer is (A).

q: A racng car travels k kilometres in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) knx
(B) kn
(C) knx
(D) kx
(E) kxn
a: Stream of consciousness: Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n The answer is (E).

q: John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 100%
a:
Stream of consciousness: Increase = (40/40)*100 = (1)*100 = 100%. The answer is (E).