question: There is a square with side ‘a’ and one octagon is inscribed in it. What will be perimeter of octagon.
Options:
(A) 8a/3
(B) 7a/3
(C) 5a/3
(D) a/3
(E) 11a/3
answer: Stream of consciousness: Well if it's a regular octagon then it actually trisects each side of the square in which 1/3 of the lenght of the side of the square is the length of one side of the octagon. If any one has a doubt he can draw the figure and see it
Going this way lenght of a side of a octagon is a/3 and thus perimeter would be 8a/3. The answer is (A).


q: How many factors does 49^2 have?
Options:
(A) 2
(B) 8
(C) 24
(D) 25
(E) 36
a: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 6*6 = 36 The answer is (E).


question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 337
(B) 267
(C) 342
(D) 287
(E) 261
answer: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).


q: In what time a sum of money double itself at 3% per annum simple interest?
Options:
(A) 33 1/8%
(B) 33 1/3%
(C) 33 3/3%
(D) 33 1/7%
(E) 32 1/3%
a: Stream of consciousness: P = (P*3*R)/100
R = 33 1/3% The answer is (B).


question: A woman has 4 shirts, 5 pants and 2 belts. How many different clothing combinations can she wear?
Options:
(A) 11
(B) 20
(C) 40
(D) 60
(E) 4
answer: Stream of consciousness: 4 shirts x 5 pants x 2 belts = 40 The answer is (C).


question: 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
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
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).