question: Two persons A and B can complete a piece of work in 40 days and 60 days respectively. If they work together, what part of the work will be completed in 6 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 1/4
answer: Stream of consciousness: A's one day's work = 1/40
B's one day's work = 1/60
(A + B)'s one day's work = 1/40 + 1/60 = 1/24
The part of the work completed in 6 days = 6 (1/24) = 1/4. The answer is (E).

q: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Options:
(A) 20
(B) 40
(C) 120
(D) 60
(E) 10
a: Stream of consciousness: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40 The answer is (B).

question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 18
(D) 13
(E) 14
answer: Stream of consciousness: Since average price of a pencil = 2
Price of 75 pencils = 150
Price of 30 pens = (690 150) = 540
Average price of a pen = 54060 = 18 The answer is (C).

q: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 3
a: Stream of consciousness: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 81 = 9 The answer is (A).

question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
Options:
(A) 1/8
(B) 1/3
(C) 1/6
(D) 1/2
(E) 5/3
answer: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. The answer is (C).

question: Fill in the blank with the correct number in this number series: 20, 65, 27, 61, __, 57, 41, ?
Options:
(A) 34
(B) 35
(C) 38
(D) 25
(E) 56
answer:
Stream of consciousness: This is a simple alternating subtraction and addition series; The first series begins with 20 and adds 7; the second begins with 65 and subtracts 4, and so on. The answer is (A).