q: How many 5 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 repetition is allowed?
Options:
(A) 3441
(B) 3433
(C) 3333
(D) 3430
(E) 3773
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 5 Ways ( As the question states that the last letter has to be a consonant)
Second letter can be filled in 7 Ways
Third letter can be filled in 7 Ways
Fourth letter can be filled in 7 Ways
So, Total number of ways = 2 Ways x 7 Ways x 7 ways x 7 ways x 5 ways = 3430 The answer is (D).


question: The product of face value of 3 and local value of 6 in the numeral 78934064 is
Options:
(A) 18
(B) 24
(C) 180
(D) 240
(E) 108
answer: Stream of consciousness: (Face value of 3) x (Local value of 6) = (3 x 60) = 180 The answer is (C).


q: A football field is 7200 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 450
(B) 600
(C) 750
(D) 2400
(E) 3200
a: Stream of consciousness: Answer A) 9600 yards need 1200 lbs
1 Yard will need 1200/7200 = 1/6 lbs
3600 Yards will need 1/6* 3600 Yards = 600lbs The answer is (B).


question: Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined?
Options:
(A) 62nd
(B) 74th
(C) 80th
(D) 87th
(E) 92nd
answer: Stream of consciousness: 62nd/74th/80th/87th/92nd The answer is (C).


q: In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?
Options:
(A) 1/12
(B) 1/6
(C) 1/2
(D) 1/4
(E) 1/3
a: Stream of consciousness: Probability that trouser is not black = 2/3
Probability that shirt is not black = 3/4
Required probability = 2/3 x 3/4 = 1/2 The answer is (C).


q: The average of 9 results is 50. The average of first four results is 52 and average of last four results is 49 . what is the fifth result?
Options:
(A) 22
(B) 27
(C) 29
(D) 46
(E) 92
a:

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: Total of results = 50 x 9 = 450
Total of first four results = 52 x 4 = 208
Total of Last four results = 49 x 4 = 196
Hence the fifth result = 450 - (208 + 196) = 46 The answer is (D).