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Of the following, which is most nearly equal to but not greater than

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Of the following, which is most nearly equal to but not greater than  [#permalink]

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New post 01 Sep 2016, 03:57
1
7
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (01:11) correct 43% (01:09) wrong based on 299 sessions

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Math Expert
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Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

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New post 01 Sep 2016, 04:38
Bunuel wrote:
Of the following, which is most nearly equal to but not greater than \(\sqrt{15}\)

A. 3.7
B. 3.8
C. 3.9
D. 4.0
E. 4.1



Hi,
Two points..

1) it will be less than \(\sqrt{16}\) or 4..
So D and E are out..

2)now 3.9 or 3.8 can be written as (4-.1) or (4-.2)....
When squaring it the MINUS part should be GREATER than 1 as 15 =16-1...
Minus part in 3.9^2 or (4-.1)^2 will be 2*4*.1=0.8, so it will be GREATER than 15.2..
(In case of (4-.2)^2, Minus part will be 2*4*.2=1.6..
Here we will get answer less than 15.. so our answer
B

Otherwise in such Q, just calculate B 3.8,. And then A or C, as B suggests...
Do not start other way, A, B,and C.. 3.7, then 3.8 and then 3.9
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Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

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New post 27 Oct 2016, 09:56
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We know that sqrt(9) = 3 & sqrt(16) = 4

So sqrt(15) will naturally lie closer to 4.

You can test the remaining choices to determine which is closest to 15 (but NOT over it) & you'll find 3.8^2 = 14.44, making it the correct choice. 3.9^2 = 15.21 which puts you over the cutoff.
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Of the following, which is most nearly equal to but not greater than  [#permalink]

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New post 31 Oct 2016, 01:27
1
\(\sqrt{15}=\sqrt{x}\)


\(\sqrt{3}=1.73\)

\(\sqrt{5}=2.23\)

\(\sqrt{3}\sqrt{5}=2.23*1.73=3.85\)

So it is Answer B
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Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

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Re: Of the following, which is most nearly equal to but not greater than   [#permalink] 09 Aug 2018, 17:19
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