question: 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
answer: 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).


q: The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/3: 1/2: 1/1 = 2:3:6 The answer is (D).


question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%
answer: Stream of consciousness: Female students in 2005 = 25% of 40 = 10
Female students in 2007 = 40% of 85 = 34
Percentage increase = [(34- 10)/10] *100 % = 240% The answer is (E).


q: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 35
(B) 45
(C) 50
(D) 55
(E) 60
a: Stream of consciousness: 8C4 [Select any four] - 7C4 [Select all hard backs] = 35. The answer is (A).


question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  21
(D)  23
(E)  25 3/10
answer: Stream of consciousness: K + 2K +3 + 4K - 4 + 5K +1 = 12K
(12K)/4 = 63
12K = 63 * 4 = 252
K = 252 / 12 = 21 The answer is (C).


question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
answer:
Stream of consciousness: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The answer is (A).
question: 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
answer: 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).


q: The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/3: 1/2: 1/1 = 2:3:6 The answer is (D).


question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%
answer: Stream of consciousness: Female students in 2005 = 25% of 40 = 10
Female students in 2007 = 40% of 85 = 34
Percentage increase = [(34- 10)/10] *100 % = 240% The answer is (E).


q: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 35
(B) 45
(C) 50
(D) 55
(E) 60
a: Stream of consciousness: 8C4 [Select any four] - 7C4 [Select all hard backs] = 35. The answer is (A).


question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  21
(D)  23
(E)  25 3/10
answer: Stream of consciousness: K + 2K +3 + 4K - 4 + 5K +1 = 12K
(12K)/4 = 63
12K = 63 * 4 = 252
K = 252 / 12 = 21 The answer is (C).


question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
answer:
user
Stream of consciousness: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The answer is (A).
assistant
question: 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
answer: 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).


q: The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:3:7
(B) 2:3:9
(C) 2:3:2
(D) 2:3:6
(E) 2:3:1
a: Stream of consciousness: 1/3: 1/2: 1/1 = 2:3:6 The answer is (D).


question: In 2005, 25 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 85 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 50%
(C) 62.5%
(D) 115%
(E) 240%
answer: Stream of consciousness: Female students in 2005 = 25% of 40 = 10
Female students in 2007 = 40% of 85 = 34
Percentage increase = [(34- 10)/10] *100 % = 240% The answer is (E).


q: There are 8 books in a shelf that consist of 1 paperback books and 7 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 35
(B) 45
(C) 50
(D) 55
(E) 60
a: Stream of consciousness: 8C4 [Select any four] - 7C4 [Select all hard backs] = 35. The answer is (A).


question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  21
(D)  23
(E)  25 3/10
answer: Stream of consciousness: K + 2K +3 + 4K - 4 + 5K +1 = 12K
(12K)/4 = 63
12K = 63 * 4 = 252
K = 252 / 12 = 21 The answer is (C).


question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
answer:
Stream of consciousness: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The answer is (A).