question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?
Options:
(A) 235 miles.
(B) 245 miles.
(C) 240 miles.
(D) 265 miles.
(E) 275 miles.
answer: Stream of consciousness: The total distance D traveled by John is given by
D = 45 * 2 + 3 * 50 = 240 miles. The answer is (C).

q: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina
Options:
(A) 5/56
(B) 9/56
(C) 15/56
(D) 35/120
(E) 25/56
a: Stream of consciousness: Number of ways of selecting 4 people out of 9 people = 9C4
In the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7
Number of ways to form a 4 member team that includes George and excludes Nina = 7C3
Probability = 7C3/9C4 = 35/120 The answer is (D).

question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?
Options:
(A) 24
(B) 120
(C) 625
(D) 720
(E) 1024
answer: Stream of consciousness: 5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways. The answer is (C).

q: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 350 m
(B) 250 m
(C) 300 m
(D) 148 m
(E) 150 m
a: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).

question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 50%
(C) 57%
(D) 60%
(E) 65%
answer: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train?
Options:
(A) 150
(B) 872
(C) 287
(D) 288
(E) 300
answer:
Stream of consciousness: Speed = 90*(5/18) m/sec = 75/3 m/sec
Length of Train (Distance) = Speed * Time
(75/3) * 12 = 300 meter The answer is (E).