q: The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) A) 46
(B) B) 45
(C) C) 66
(D) D) 76
(E) E) 74
a: Stream of consciousness: 1 to 11 = 11 * 51 = 561
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 561 = 45 The answer is (B).

question: 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) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 49 Years
answer: 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 (E).

q: A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?
Options:
(A) 40 sec
(B) 35 sec
(C) 33 sec
(D) 42 sec
(E) 41 sec
a: Stream of consciousness: Time taken to cross a moving person = length of train/ relative speed
Time taken = 400/((50-14) (5/18) = 400/ 36*(5/18) = 400/10 = 40 sec The answer is (A).

question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 49 sec
(E) 60 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

q: A shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article. If Arun bought that article for 1,120, what was the original price?
Options:
(A) 3,000
(B) 4,000
(C) 2,400
(D) 2,000
(E) None of these
a: Stream of consciousness: Original price = 1120 10070 10080 = 2000 The answer is (D).

q: An equity analyst needs to select 2 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 2 picks?
Options:
(A) 20
(B) 30
(C) 10
(D) 40
(E) 80
a:
Stream of consciousness: Number of ways of choosing 2 stocks = 5C2
Number of ways of ranking the chosen stocks = 2!
Hence total ways of chosing and ranking = 5C2 * 2! = 20 The answer is (A).