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# Of the following, which is most nearly equal to √10?

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Of the following, which is most nearly equal to √10? [#permalink]

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22 Mar 2013, 12:54
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Of the following, which is most nearly equal to √10?

a 3.3
b 3.4
c 3.5
d 3.1
e 3.2
[Reveal] Spoiler: OA
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Re: Of the following, which is most nearly equal to √10? [#permalink]

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22 Mar 2013, 13:03
anujtsingh wrote:
Of the following, which is most nearly equal to √10?

a 3.3
b 3.4
c 3.5
d 3.1
e 3.2

The correct answer is 3.2 (E), not D.
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Re: Of the following, which is most nearly equal to √10? [#permalink]

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23 Mar 2013, 07:35
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Just make quick trials:

I would try first 3.3 x 3.3 = 990 + 99 (and put two decimals) = 10.89

Then 3.2 x 3.2 = 960 + 64 (and put two decimals) = 10.24 ---> near to 10

Then 3.1 x 3.1 = 930 + 31 (and put two decimals) = 9.61

Solution: 3.2

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Re: Of the following, which is most nearly equal to √10? [#permalink]

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24 Mar 2013, 04:03
Now take the square of 3.1i.e, 3.1X3.1= 9.64
Now the next number has to be closer to 10
You can check by taking the square of 3.3 and then zero down on 3.2!
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Re: Of the following, which is most nearly equal to √10? [#permalink]

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24 Mar 2013, 05:38
Bunuel wrote:

The correct answer is 3.2 (E), not D.

Fixed.
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Re: Of the following, which is most nearly equal to √10? [#permalink]

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21 Feb 2015, 20:37
anujtsingh wrote:
Of the following, which is most nearly equal to √10?

a 3.3
b 3.4
c 3.5
d 3.1
e 3.2

Square root of 10 can be written as square root of 5 times square root of 2. Square root of 5=2.23 and square root of 2 is 1.41 - multiply these together and the answer you get is closest to 3.2.
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Of the following, which is most nearly equal to √10? [#permalink]

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22 Feb 2015, 05:13
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Expert's post
Bunuel wrote:
anujtsingh wrote:
Of the following, which is most nearly equal to √10?

a 3.3
b 3.4
c 3.5
d 3.1
e 3.2

The correct answer is 3.2 (E), not D.

Let us simply take squares of all options.
3.1 * 3.1 = 9.61
3.2 * 3.2 = 10.24
Since it has already crossed 10 (i.e. the square of √10), we need not go further and need to decide between 3.1 and 3.2
10 - 9.61 = 0.39
10.24 - 10 = 0.24
Since 0.24 is lesser of the both, so 3.2 is closer.
Hence (E).

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Of the following, which is most nearly equal to √10?   [#permalink] 22 Feb 2015, 05:13
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