question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Options:
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
answer: Stream of consciousness: Mother has a fixed place and father, so there are 2! ways to arrange the children, hence The answer is (A).

q: In what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 5 sec
(B) 4 sec
(C) 3 sec
(D) 6 sec
(E) 1 sec
a: Stream of consciousness: T = 30/36 * 18/5 = 3 se The answer is (C).

question: In how many different ways can the letters of the word "POLICE" be rearrangement?
Options:
(A) 710
(B) 725
(C) 720
(D) 770
(E) 722
answer: Stream of consciousness: Option 'C'
The total number of arrangements is
6P6 = 6! = 720 The answer is (C).

q: a piece of ribbon 4 yard long is used to make bows requiring 15 inches of ribbon for each.What is the maximum number of bows that can be made.
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 5
a: Stream of consciousness: 1 yard = 36 Inch
4 yard = 36*4 = 144 inch
15 inch req. for 1 bow
Max. no. of bows possible = 144/15 = 9 bows and 9 inch ribbon left. The answer is (A).

question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 300
(D) 258
(E) 191
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 18 = 300 m The answer is (C).

question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 84 ounces of this substance?
Options:
(A) 27
(B) 36
(C) 42
(D) 64
(E) 147
answer:
Stream of consciousness: 112 ounces of a substance has a volume of 48 cubic inches
84 ounces of a substance has a volume of (48/112)*84 = 36 cubic inches The answer is (B).