q: Two numbers are in the ratio 3 : 4. If the sum of numbers is 63, find the numbers.
Options:
(A) 26,37
(B) 25,38
(C) 27,36
(D) 28,35
(E) 29,34
a: Stream of consciousness: Sum of the terms of the ratio = 3 + 4 = 7
Sum of numbers = 63
Therefore, first number = 3/7 63 = 27
Second number = 4/7 63 = 36
Therefore, the two numbers are 27 and 36. The answer is (C).

question: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car's gas mileage be increased?
Options:
(A) 2
(B) 4
(C) 6
(D) 7
(E) 10
answer: Stream of consciousness: 420/10 = 42 The difference is 42 - 35 = 7. The answer is (D).

q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o'clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 45 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
a: Stream of consciousness: Answer = A. 45 miles
Relational speed = 130 - 100 = 30 miles per hour
In 2 hours, difference = 30 * 2 = 60 miles
Fast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles The answer is (A).

question: The average of first 13 natural numbers is?
Options:
(A) 5.2
(B) 5.5
(C) 7
(D) 9
(E) 10
answer: Stream of consciousness: Sum of 13 natural no. = 182/2 = 91
Average = 91/13 = 7 The answer is (C).

q: In an office, 60 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A) 96
(B) 64
(C) 50
(D) 144
(E) 160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(60/100)*Workers = x+16 = > x = 96 The answer is (A).

q: The average weight of 36 men is 50 kg. It was found later that the figure of 37 kg was misread as 73 kg. What is the correct average?
Options:
(A) 49 kg
(B) 51 kg
(C) 50.5 kg
(D) 51.5 kg
(E) None of these
a:
Stream of consciousness: Correct average = [( 50 x 36) - 73 + 37 )]/36 = 1764/36 = 49 kg. The answer is (A).