q: A 21 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) 12
(B) 6
(C) 88
(D) 77
(E) 14
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 21 = 6 The answer is (B).
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q: Solve below question 2x - 1 = 17
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 9
a: Stream of consciousness: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The answer is (E).
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q: The average of first 12 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 13
(E) 17
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: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/12 = 13 The answer is (D).
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