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OG 12th edition - Q # 64

Expert replies
by bhumika.k.shah » Sat Feb 06, 2010 11:29 am
If d denotes a decimal, is d ≥ 0.5 ?

(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.


I always get confused in picking #s for these kinda sums :(

how can i clear this confusion??

:(
Join the discussion
Source: — Data Sufficiency |

by akahuja143 » Sat Feb 06, 2010 1:03 pm
My answer would be B

For the first one
you take values of 0.47 or 0.51 - in both causes you would 0.5 and actual value of d can be 0.5 or lessthan 0.5 -- so it is a MAy be -- NO

B sufficent

if you rounded to nearest integer then it has to be greater than atleast 0.5 like something 0.76 would be 1 o.43 would be 0 since the nearest interger is 1 it should be always greater or equal to 0.5

Hope it helps
Join the discussion

by harsh.champ » Sat Feb 06, 2010 1:03 pm
bhumika.k.shah wrote:If d denotes a decimal, is d ≥ 0.5 ?

(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.


I always get confused in picking #s for these kinda sums :(

how can i clear this confusion??

:(

Just keep in mind that if the no. is in midway suppose 0.5 over here,then it is rounded to the upper limit(in this case 1)
I hope this is correct and no change in this rule has taken place.
Asking EXPERTS and MATH WHIZs to testify!!!

Now, from the question,both statements alone are sufficient.
Hence,the answer would be C.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
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by ajith » Sat Feb 06, 2010 9:22 pm
bhumika.k.shah wrote:If d denotes a decimal, is d ≥ 0.5 ?

(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.


I always get confused in picking #s for these kinda sums :(

how can i clear this confusion??

:(
1) is not sufficient any decimal d such that .45<d<0.55 rounds when rounded to nearest 10th becomes 0.5
2) is sufficient - any decimal d such that .5<=d<1.5 rounds to 1; sufficient to prove that d>=0.5
[spoiler]
B[/spoiler]
Always borrow money from a pessimist, he doesn't expect to be paid back.
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by bhumika.k.shah » Sat Feb 06, 2010 9:22 pm
Hi,

firstly if both statements alone are sufficient, then your answer option should be D


Secondly, i dont know much , but i know for sure that A is not sufficient.

Dont know how , just a strong intuition. :) :P
harsh.champ wrote:
bhumika.k.shah wrote:If d denotes a decimal, is d ≥ 0.5 ?

(1) When d is rounded to the nearest tenth, the
result is 0.5.
(2) When d is rounded to the nearest integer, the
result is 1.


I always get confused in picking #s for these kinda sums :(

how can i clear this confusion??

:(

Just keep in mind that if the no. is in midway suppose 0.5 over here,then it is rounded to the upper limit(in this case 1)
I hope this is correct and no change in this rule has taken place.
Asking EXPERTS and MATH WHIZs to testify!!!

Now, from the question,both statements alone are sufficient.
Hence,the answer would be C.
Join the discussion

by bhumika.k.shah » Sat Feb 06, 2010 9:26 pm
The point is i get very confused b/w which #s to pick.
:(

How can i kill that phobia , if I must say :P
akahuja143 wrote:My answer would be B

For the first one
you take values of 0.47 or 0.51 - in both causes you would 0.5 and actual value of d can be 0.5 or lessthan 0.5 -- so it is a MAy be -- NO

B sufficent

if you rounded to nearest integer then it has to be greater than atleast 0.5 like something 0.76 would be 1 o.43 would be 0 since the nearest interger is 1 it should be always greater or equal to 0.5

Hope it helps
Join the discussion

by Stuart@KaplanGMAT » Sat Feb 06, 2010 11:09 pm
bhumika.k.shah wrote:The point is i get very confused b/w which #s to pick.
:(

How can i kill that phobia , if I must say :P
Well, first you have to understand your goal in picking numbers.

When we pick numbers on yes/no data sufficiency questions, our aim is to generate both a "yes" and a "no" answer to the original question; accordingly, we try to pick numbers that give us both possible answers.

I say "try" to pick such numbers because here's the #1 rule for picking numbers:

You are only allowed to pick numbers that follow the rules you've been given.

Many people forget this law of DS. We have to treat the information in the stem and the statements as immutable laws of the universe; the only numbers that exist are the ones that follow those laws.

So, reasoning our way through this question:

Is d >= .5?

We think to ourselves: if d < .5, that's a "no" answer; if d >= .5, that's a "yes" answer. If d could be in either range, that's an "insufficient" answer.

(1) d rounded to the nearest tenth is .5.

So, we're only allowed to pick numbers that follow this rule.

First, let's try for a "yes".

If d=.52, then rounded off to the nearest tenth d=.5, so .52 is a permissible number.

Now we plug .52 back into the question:

is .52 >= .5? YES

Since we have a "yes" answer, we now try to generate a "no".

If d=.49, then d rounded off to the nearest tenth is .5, so .49 is a permissible number.

Now we plug .49 back into the question:

is .49 > .5? NO

We have both a yes and a no answer: insufficient; eliminate A and D and move on to (2).

(2) d rounded to the nearest integer is 1.

Well, we could certainly let d=.99, since that gets rounded off to 1.

Is .99>.5? YES

Let's see if we can get a "no" answer as well.

To get a "no" answer, we have to have a value of d less than .5, so let's try a d as big as possible:

d = .499999

When we round .499999 off to the nearest integer, what do we get? 0!

Accordingly, .499999 is NOT a permissible number.

Now, here's where many test takers get confused; this is NOT a "no" answer to the question. On the contrary, we just proved that .49999 is an illegal number and can therefore be ignored.

Since we can't legally pick any numbers that generate a "no" answer, we see that we're definitely getting a "yes" answer to the original question. A definite "yes" = sufficient.

(2) is sufficient, (1) isn't: choose B.

Here's the key takeaway from this question:

Data sufficiency is all about process.

The better you understand how DS works, the fewer mistakes you'll make along the way. If you're struggling with DS, especially on number property yes/no questions (which are, at least conceptually, the most difficult), then slow down and make sure you're following the proper steps.

Even people who are fantastic at math struggle with DS until they understand how it works, so don't rush - take your time until you truly understand what you're doing.
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