GRE Sample Test 3 Quantitative Reasoning 2

Question : 19 of 20

Marks: +1, -0

If 5–x + 5–x + 5–x + 5–x + 5–x = 1, then x must equal (numeric entry)

Solution:

Notice that all the terms on the left side of the equation are equal. We can thus combine like terms to arrive at: 5(5–x) = 1. Since 5 =

5^1

, we can rewrite the equation as:

5^1 (5–x)

= 1 →

5^(1–x)

= 1. If

5^(1–x)

= 1, then 1 – x = 0 → x = 1.

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