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Solution


To find:
    • The answer choice, whose value is different from the rest

Approach and Working:

    • Option A: \(\frac{15}{3} = 5\)

    • Option B: \((\frac{1}{3}) * 5 = \frac{5}{3}\)

    • Option C: \(5* \frac{1}{3} = \frac{5}{3}\)

    • Option D: \((\frac{2}{3}) * 5 * \frac{1}{2} = \frac{5}{3}\)

    • Option E: \(\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} = \frac{5}{3}\)

Hence, the correct answer is option A.

Answer: A

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Bunuel
All of the following have the same value EXCEPT?


A. \(\frac{1 + 2 + 3 + 4 + 5}{3}\)

B. \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)

C. \(\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3}\)

D. \(\frac{2}{3}(\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2})\)

E. \(\frac{1}{3} + \frac{2}{6} + \frac{3}{9} + \frac{4}{12} + \frac{5}{15}\)

It can be clearly seen that:

B. = \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)
taking common \(\frac{1}{3}\), C = \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)
Taking 2 inside the bracket , we get D = \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)
Simplifying the fractions we get , E= \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)

Hence, A is the odd one out.

A is the Answer
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Bunuel
All of the following have the same value EXCEPT?


A. \(\frac{1 + 2 + 3 + 4 + 5}{3}\)

B. \(\frac{1}{3}(1 + 1 + 1 + 1 +1)\)

C. \(\frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3} + \frac{1}{3}\)

D. \(\frac{2}{3}(\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2})\)

E. \(\frac{1}{3} + \frac{2}{6} + \frac{3}{9} + \frac{4}{12} + \frac{5}{15}\)

If we use the distributive law in choices B and D and simplify each term in choice E, we see that each term is 1/3 in choices B, C, D, and E. However, if we distribute in choice A, we have: 1/3 + 2/3 + 3/3 + 4/3 + 5/3. All the terms are not equal to 1/3. So the answer is A.

Alternate Solution:

Choice A becomes 1/3 + 2/3 + 3/3 + 4/3 + 5/3.

Choice B becomes 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Choice C is already 1/3 + 1/3 + 1/3 + 1/3 + 1/3.

Since we are looking for the answer choice that is unlike the others, we see, without going any further with our analysis of the answer choices, that Choice A will not yield the same value as B or C (or D or E). Thus, A is the correct answer.

Answer: A
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Although we need to check all 5 options before picking up the answer, in this case as question ask "have the same value EXCEPT", After checking the Option A, B, and C, we can easily pick the Option A, as it doesn't have the same value as Option B, and C.

Answer A
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We can mutiple by 3 to avoid confusion with fraction because all the options will yield the same answer after multiplying with 3 except A

choice A - 1 + 2 + 3 + 4 + 5

choice b - 1 + 1 + 1 + 1 + 1

choice c - 1 + 1 + 1 + 1 + 1
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