Reasoning: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12
Ans: (B)
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/18
(B) 5/12
(C) 5/19
(D) 5/15
(E) 5/11
Rationale: Answer = A. 60 miles
Relational speed = 130 - 100 = 30 miles per hour
In 3 hours, difference = 30 * 3 = 90 miles
Fast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles
The answer: (A)
Question: 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 2 o'clock the faster train is 30 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
Reasoning: The total number of arrangements is
5P5 = 5! = 120
Ans: (B)
Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
Options:
(A) 100
(B) 120
(C) 130
(D) 143
(E) 145
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
The answer: (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) 120 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 150 m
Reasoning: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 50 - {both} + 40
{both} = 15%.
Ans: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% 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) 15%
(E) 10%
Reasoning: Total age of students is 14X10 = 140 Years
Total age inclusive of teacher = 15X (10+1) = 165
So, Teacher's age is 165-140 = 25 Yrs
There is a shortcut for these type of problems
Teacher's age is 10+(15X1) = 25 Years
Ans: (E)
Question: The average age of a class of 14 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 25 Years