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The value of the expression above is closest to which of the following

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The value of the expression above is closest to which of the following  [#permalink]

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New post 20 Jan 2020, 07:46
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A
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  45% (medium)

Question Stats:

53% (01:01) correct 47% (01:10) wrong based on 34 sessions

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\(\frac{\sqrt{0.089}}{0.03}\)

The value of the expression above is closest to which of the following?

(A) 0.1

(B) 1

(C) 3

(D) 10

(E) 30

Source: GMAT Quantum Math Course
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Re: The value of the expression above is closest to which of the following  [#permalink]

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New post 20 Jan 2020, 21:16
sjuniv32 wrote:
\(\frac{\sqrt{0.089}}{0.03}\)

The value of the expression above is closest to which of the following?

(A) 0.1

(B) 1

(C) 3

(D) 10

(E) 30

Source: GMAT Quantum Math Course


Explanation:

= √0.089 ≅ 0.9

√0.089/0.03 ≅ 0.9/0.03 ≅ 10

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Re: The value of the expression above is closest to which of the following  [#permalink]

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New post 21 Jan 2020, 03:47
1
I think there's a typo in the solution above (the numerator should be 0.3, not 0.9).

Since the answers are very far apart, we can round off liberally. If you recognize that 0.089 is very close to 0.09 = 9/100, which has a simple square root, then we can estimate easily:

√0.089 / 0.03 ~ √0.09 / 0.03 = √(9/100) / (3/100) = (3/10) / (3/100) = 100/10 = 10
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Re: The value of the expression above is closest to which of the following  [#permalink]

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New post 21 Jan 2020, 07:31

Solution



Given
In this question, we are given that
    • An expression: \(\frac{√0.089}{0.03}\)

To find
We need to determine
    • The closest approximation of the original value of the expression

Approach and Working out
0.089 can be approximated as 0.09
    • √0.09 = 0.3
    • Hence, the given expression = \(\frac{0.3}{0.03} = 10\)

Thus, option D is the correct answer.

Correct Answer: Option D
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Re: The value of the expression above is closest to which of the following   [#permalink] 21 Jan 2020, 07:31
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