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 consonant, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 200
answer: Stream of consciousness: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)
Fourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)
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 5 ways = 200 The answer is (E).

q: The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 27
(B) 29
(C) 31
(D) 34
(E) 69
a: Stream of consciousness: The total of seven numbers = 7X24 = 168
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (168 - 99 ) = 69 The answer is (E).

question: Find the odd man out
4, 10, 22, 40, 84, 94
Options:
(A) 22
(B) 40
(C) 94
(D) 84
(E) 10
answer: Stream of consciousness: Differnce is multiple of 6
4 and 10 diff is 6
10 and 22 diff is 12
22 and 40 diff is 18
40+24 = 64 but in series it is mentioned as 84
64+30 = 94 The answer is (D).

q: How much is 80% of 60 is greater than 4/5 of 25?
Options:
(A) 15
(B) 28
(C) 16
(D) 12
(E) 73
a: Stream of consciousness: (80/100) * 60 (4/5) * 25
48 - 20 = 28 The answer is (B).

question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 10
(B) 15
(C) 30
(D) 34
(E) 36
answer: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).

question: Sum of the local value and the face value of 4 in the numeral 153489216 is
Options:
(A) 40004
(B) 4004
(C) 4000004
(D) 400004
(E) 44
answer:
Stream of consciousness: (Local value of 4) + (Face value of 4) = (400000 + 4) = 400004 The answer is (D).