Reasoning: Sum of 16 even numbers = 16 * 17 = 272
Average = 272/16 = 17
Ans: (C)
Question: The average of first 16 even numbers is?
Options:
(A) 10
(B) 11
(C) 17
(D) 13
(E) 14
Rationale: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 55 - {both} + 40
{both} = 20%.
The answer: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 20%
(E) 10%
Reasoning: 639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11.
Ans: (A)
Question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
Options:
(A) 2079
(B) 456
(C) 974
(D) 562
(E) 300
Rationale: Speed in still water = (11 + 5)/2 kmph = 8 kmph.
The answer: (D)
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9
Reasoning: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Ans: (A)
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:9
(C) 1:1
(D) 1:9
(E) 3:2
Reasoning: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Ans: (E)
Question: 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) 287
(B) 699
(C) 677
(D) 168
(E) 150