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01 Sep 2016, 03:57
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
62% (01:19) correct
38%
(01:12)
wrong
based on 1062
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 3.7
B. 3.8
C. 3.9
D. 4.0
E. 4.1
01 Sep 2016, 04:38
Kudos
Bookmarks
Bunuel
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
General Discussion
27 Oct 2016, 09:56
Kudos
Bookmarks
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.
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.
