question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 48%
(C) 57%
(D) 59%
(E) 61%
answer: Stream of consciousness: Total number of votes polled = (5136 + 7636 + 11628) = 24400
So, Required percentage = 11628/24400 * 100 = 48% The answer is (B).


q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
a: Stream of consciousness: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer is (D).


question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8
answer: Stream of consciousness: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9 The answer is (A).


q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 28
a: Stream of consciousness: (22/2) ( 2+3) * 2 = 28 = The answer is (E).


question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 76 minutes
(B) 29 minutes
(C) 70 minutes
(D) 17 minutes
(E) 98 minutes
answer: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).


question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
answer:
Stream of consciousness: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150. The answer is (C).
question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 48%
(C) 57%
(D) 59%
(E) 61%
answer: Stream of consciousness: Total number of votes polled = (5136 + 7636 + 11628) = 24400
So, Required percentage = 11628/24400 * 100 = 48% The answer is (B).


q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
a: Stream of consciousness: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer is (D).


question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8
answer: Stream of consciousness: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9 The answer is (A).


q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 28
a: Stream of consciousness: (22/2) ( 2+3) * 2 = 28 = The answer is (E).


question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 76 minutes
(B) 29 minutes
(C) 70 minutes
(D) 17 minutes
(E) 98 minutes
answer: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).


question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
answer:
user
Stream of consciousness: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150. The answer is (C).
assistant
question: 3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 48%
(C) 57%
(D) 59%
(E) 61%
answer: Stream of consciousness: Total number of votes polled = (5136 + 7636 + 11628) = 24400
So, Required percentage = 11628/24400 * 100 = 48% The answer is (B).


q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
a: Stream of consciousness: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer is (D).


question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8
answer: Stream of consciousness: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9 The answer is (A).


q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 28
a: Stream of consciousness: (22/2) ( 2+3) * 2 = 28 = The answer is (E).


question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Options:
(A) 76 minutes
(B) 29 minutes
(C) 70 minutes
(D) 17 minutes
(E) 98 minutes
answer: Stream of consciousness: 1/20 - 1/28 = 1/70
70 minutes The answer is (C).


question: 100 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 150
(D) 155
(E) 160
answer:
Stream of consciousness: Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50 = 150. The answer is (C).