question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 7
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).


q: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 176
(B) 288
(C) 363
(D) 396
(E) 484
a: Stream of consciousness: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176 The answer is (A).


question: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
answer: Stream of consciousness: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13 The answer is (D).


q: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
a: Stream of consciousness: Number of females = 156800 × 100⁄80 = 196000
\ Number of males = 7⁄8 × 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).


question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b) 
(C) a(a + 3b)  + 2b(a + 3b) 
(D) (3a + b) (a + 2b) 
(E) a(a + 2b)  + 3b(a + 2b) 
answer: Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2. The answer is (D).


question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30
answer:
Stream of consciousness: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 25 The answer is (C).
question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 7
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).


q: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 176
(B) 288
(C) 363
(D) 396
(E) 484
a: Stream of consciousness: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176 The answer is (A).


question: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
answer: Stream of consciousness: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13 The answer is (D).


q: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
a: Stream of consciousness: Number of females = 156800 × 100⁄80 = 196000
\ Number of males = 7⁄8 × 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).


question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b) 
(C) a(a + 3b)  + 2b(a + 3b) 
(D) (3a + b) (a + 2b) 
(E) a(a + 2b)  + 3b(a + 2b) 
answer: Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2. The answer is (D).


question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30
answer:
user
Stream of consciousness: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 25 The answer is (C).
assistant
question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 3
(B) 5
(C) 6
(D) 7
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).


q: If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 176
(B) 288
(C) 363
(D) 396
(E) 484
a: Stream of consciousness: I will go with A (pending elements to match is 2^2*2^2*11^1 = 176 The answer is (A).


question: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
answer: Stream of consciousness: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13 The answer is (D).


q: The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?
Options:
(A) 245000
(B) 367500
(C) 196000
(D) 171500
(E) None of these
a: Stream of consciousness: Number of females = 156800 × 100⁄80 = 196000
\ Number of males = 7⁄8 × 196000 = 171500
\ Total population = 196000 + 171500 = 367500 The answer is (B).


question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b) 
(C) a(a + 3b)  + 2b(a + 3b) 
(D) (3a + b) (a + 2b) 
(E) a(a + 2b)  + 3b(a + 2b) 
answer: Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2. The answer is (D).


question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30
answer:
Stream of consciousness: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 25 The answer is (C).