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Rounding ques

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Rounding ques

by rijul007 » Mon Dec 19, 2011 9:54 am
If k denotes a decimal, is k < .5 ?

(1) When k is rounded to the nearest tenth, the result is 0.5.

(2) When k is rounded to the nearest integer, the result is 0.
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by MakeUrTimeCount » Mon Dec 19, 2011 10:10 am
(1) When k is rounded to the nearest tenth, the result is 0.5.
Case1: K is 0.45 = 0.5
Case1: K is 0.54 = 0.5
Insufficient.

(2) When k is rounded to the nearest integer, the result is 0.
Case1: K is 0.45 = 0
Case1: K is 0.54 = 1
Sufficient.

Ans: B
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by pemdas » Mon Dec 19, 2011 11:26 am
st(1) Insufficient as k decimal can be rounded up and down 0.51 and 0.49
st(2) Insufficient as k rounded to the nearest integer, the result is 0 may not be unique as long as aren't told that the result is 0 ONLY. Here's a tie-break :) and 0.5 as an exact decimal value may be rounded to 0 or 1. However it can be also less than 0.5 and k=0.45 is rounded to the nearest integer as 0. The trick here is we don't know about rounding up and may not answer No and k=0.5 exactly; it can be k=<0.5
Combined st(1&2), from st(2) k=<0.5 and st(1) k rounded to the nearest tenth is 0.5 imply k may be =<0.5 (if rounding isn't formal and k=! 0.5000 something like that) Sufficient

ans c

here the question may go under different interpretation is st(1) and if k=0.5000 then answer would be e. I hope rounding in st(1) isn't formal and we may get this resolved by combining two statements.
rijul007 wrote:If k denotes a decimal, is k < .5 ?

(1) When k is rounded to the nearest tenth, the result is 0.5.

(2) When k is rounded to the nearest integer, the result is 0.
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by LalaB » Mon Dec 19, 2011 11:54 am
pemdas wrote: st(2) Insufficient as k rounded to the nearest integer, the result is 0 may not be unique as long as aren't told that the result is 0 ONLY. Here's a tie-break :) and 0.5 as an exact decimal value may be rounded to 0 or 1. However it can be also less than 0.5 and k=0.45 is rounded to the nearest integer as 0. The trick here is we don't know about rounding up and may not answer No and k=0.5 exactly; it can be k=<0.5
I also chose B.

pemdas, I didnt get ur explanation of st2. could u please explain in more details?
thanks :)
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by rijul007 » Mon Dec 19, 2011 11:58 am
OA:B
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by pemdas » Mon Dec 19, 2011 12:03 pm
I thought if k=0.5, then it's right in the middle and rounded to the nearest integer 0.5 can be 0 (down) or 1 (up). We actually may round up and down depending on the choice. Our nearest integer might be 0 or 1? Either I confused myself or read badly into question, actually the nearest is one (rounded to 0 only) and not the two (rounded to 0 and 1). Agree, it's B.
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by MakeUrTimeCount » Mon Dec 19, 2011 1:01 pm
Hahaha..

No probs man,it happens. Good that your doubt is cleared :)
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