q: A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
Options:
(A) 1
(B) 6
(C) 7
(D) 5
(E) 43
a: Stream of consciousness: A's 1 day work = 1/10; B's 1 day work = 1/15
(A + B)'s 1 day work = (1/10 + 1/15) = 1/6
So, both together will finish the work in 6 days. The answer is (B).


question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 140
(B) 146
(C) 152
(D) 162
(E) 170
answer: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 200 = 20
Survived = 180
Number of newborns that can die in second month = 1/10 * 180 = 18
Survived = 162
Number of newborns that can die in third month = 1/10 * 162 = 16
Survived = 146 The answer is (B).


q: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?
Options:
(A) 27
(B) 36
(C) 42
(D) 24
(E) 147
a: Stream of consciousness: 112 ounces of a substance has a volume of 48 cubic inches
56 ounces of a substance has a volume of (48/112)*56 = 24 cubic inches The answer is (D).


question: If 10 crates have 96 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 40
(D) 20
(E) 0
answer: Stream of consciousness: Each crate requires 4 apples and totally there are 10 crates so required apples = 10 * 4 = 40 The answer is (C).


q: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 10
(B) 25
(C) 30
(D) 45
(E) 50
a: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).


q: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Options:
(A) Rs. 60, Rs. 90, Rs. 389
(B) Rs. 60, Rs. 90, Rs. 360
(C) Rs. 60, Rs. 90, Rs. 368
(D) Rs. 60, Rs. 90, Rs. 329
(E) Rs. 60, Rs. 30, Rs. 329
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: (A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4
A:B = 2:3 and B:C = 1:4 = 3:12
A:B:C = 2:3:12
A;s share = 510 * 2/17 = Rs. 60
B's share = 510 * 3/17 = Rs. 90
C's share = 510 * 12/17 = Rs. 360. The answer is (B).