question: Find the odd man out
445, 221, 109, 46, 25, 11, 4
Options:
(A) 221
(B) 109
(C) 46
(D) 25
(E) 21
answer: Stream of consciousness: 4*2+3 = 11
11*2+3 = 25
25*2+3 = 53
53*2+3 = 109
109*2+3 = 221
221*2+3 = 445 The answer is (C).


q: There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?
Options:
(A) 9!*2!
(B) 7!*2!
(C) 6!*1!
(D) 2!*1!
(E) 5!*1!
a: Stream of consciousness: Total number of ways = 9!*2!. The answer is (A).


question: If 15% of 40 is greater than 25% of a number by 2,then find the number is?
Options:
(A) 20
(B) 15
(C) 16
(D) 25
(E) 30
answer: Stream of consciousness: 15/100 * 40 - 25/100 * x = 2 or x/4 = 4 so x = 16 The answer is (C).


q: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 55 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 85 matches
(E) 87 matches
a: Stream of consciousness: A 54 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 54 matches were played. The answer is (A).


question: In a school of 300 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 54
(B) 63
(C) 70
(D) 42
(E) 31
answer: Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
300 * 18/100 = 54 The answer is (A).


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:

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: 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).