Reasoning: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 53 - {both} + 40
{both} = 18%.
Ans: (D)
Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 18%
(E) 10%
Rationale: The term (998-998) makes the whole expression = 0.
The answer: (E)
Question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0
Reasoning: 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
Ans: (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
Rationale: 6a2 = 6 * 5a * 5a = 150a2
The answer: (A)
Question: The edge of a cube is 5a cm. Find its surface?
Options:
(A) 150a2 cm2
(B) 170a2 cm2
(C) 125a2 cm2
(D) 175a2 cm2
(E) 120a2 cm2
Reasoning: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min
Ans: (C)
Question: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Options:
(A) 8 hrs 18 min
(B) 8 hrs 85 min
(C) 8 hrs 15 min
(D) 7 hrs 15 min
(E) 8 hrs 25 min
Reasoning: 1: 2/5 = 5: 2
2/7 * 70 = 20
Ans: (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.
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Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 20 cm
(B) 15 cm
(C) 30 cm
(D) 40 cm
(E) 45 cm