question: The measure of the side of a square is quadrupled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 9x
(D) 12x
(E) 27x
answer: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 4x/4
New perimeter = 4*4x/4 = 4x The answer is (B).
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question: Find the value of y from (12)^3 x 6^4÷432 = y?
Options:
(A) 5618
(B) 5232
(C) 5889
(D) 5184
(E) 5132
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (D).
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question: Calculate the largest 4 digit number which is exactly divisible by 98?
Options:
(A) 9800
(B) 9898
(C) 9702
(D) 9604
(E) 9996
answer: Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 ÷ 98 we get remainder 3
Hence largest 4 digit number exactly divisible by 98 = 9999 - 3 = 9996 The answer is (E).
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question: There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 1950
(B) 2000
(C) 1980
(D) 1580
(E) 2600
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: Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980 The answer is (C).
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