q: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 34 Years
(B) 37 Years
(C) 49 Years
(D) 51 Years
(E) 57 Years
a: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years The answer is (C).

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
answer: Stream of consciousness: The total number of arrangements is
5P5 = 5! = 120 The answer is (B).

q: Find the odd man out
253, 136, 352, 323, 631, 244
Options:
(A) 323
(B) 136
(C) 352
(D) 631
(E) 531
a: Stream of consciousness: The sum all three digits comes to 10 except 323 The answer is (A).

question: A car traveled from San Diego to San Francisco at an average speed of 66 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
answer: Stream of consciousness: Let the time taken be = x
One way distance = 66x
Total distance traveled = 2 * 66x = 132x
Total time taken = x + 2x = 3x
Average speed = 132x/3x = 44 The answer is (E).

q: What should come in place of question mark(?) in the following equation?
8597 ? = 7429 4358
Options:
(A) 5706
(B) 5526
(C) 5426
(D) 5626
(E) None of these
a: Stream of consciousness: 8597 ? = 7429 4358
? = 5526 The answer is (B).

q: X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 8
(E) 9
a:
Stream of consciousness: Work done by X in 1 day = 1/20
Work done by Y in 1 day = 1/15
Work done by Y in 9 days = 9/15 = 3/5
Remaining work = 1 3/5 = 2/5
Number of days in which X can finish the remaining work = (2/5) / (1/20) = 8 The answer is (D).