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Few DS ...Plz discuss

Expert replies
by electrico » Tue Jun 09, 2009 2:33 am
1. If n and k are positive integers, is SQRT(n+k) > 2 SQRT(n)
(1) k > 3n
(2) n + k > 3n

2. Is the integer n a multiple of 15?
(1) n is a multiple of 20.
(2) n + 6 is a multiple of 3.

3. In a certain coding scheme, each word is encoded by replacing each letter in the word with another letter. The same code is used for all words, so that the same letter replaces a given letter each time the given letter occurs. What code will result when the word TAME is encoded by this scheme?
(1) When the word MAT is encoded, the result is DLX.
(2) When the word TEA is encoded, the result is XRL.

4. 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.


My Answers are:

1. - E
2. - C
3. - C
4. - A

But I saw some differents answers for these question.
Join the discussion
Source: — Data Sufficiency |

by electrico » Tue Jun 09, 2009 11:03 pm
Is it really tough or its just that nobody cares here!!!
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by vittalgmat » Tue Jun 09, 2009 11:27 pm
@ electrico,
To get better discussion, pls dont post multiple quesitions in a single post.

I will try to answer.. as much as I can.. hang on.
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by tohellandback » Tue Jun 09, 2009 11:41 pm
answers for 1 and 2 with explanation:

question 1:
case 1:we know (and now you know:) for any two numbers n and k both >2
nk>n+k
sqrt(nk)>sq(n+k)
now k>3n so it is atleast 4
2sqrt(n)>sq(n=k) suficient
case 2: take sqrt on both sides
sqrt(n+k)>sq(3n)
now, in this case we are not sure if sqrt(n+k) >2sqrt(n)
so A

question 2

case A: take 60 and 40
case 2: take 12 and 15

answer E- both insufficient

let me work on the other two..and plz post different under different thread.
Last edited by tohellandback on Wed Jun 10, 2009 3:17 am, edited 2 times in total.
The powers of two are bloody impolite!!
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by tohellandback » Tue Jun 09, 2009 11:49 pm
questions 3,
answers C,A

Explanation for 3
combine both and you get values for all the letters inTAME

explanation 4:
1) the number must be >=o.5 and <.6
so sufficient
2) number could be anything from 0.0 to 0.999999..
The powers of two are bloody impolite!!
Join the discussion

by electrico » Wed Jun 10, 2009 2:57 am
@tohellandback
question 1:
case 1:we know (and now you know:) for any two numbers n and k both >2
nk>n+k
sqrt(nk)>sq(n+k)
now k>3n so it is atleast 4
2sqrt(n)>sq(n=k) suficient
case 2: take sqrt on both sides
sqrt(n+k)>sq(3n)
now, in this case we are not sure if sqrt(n+k) >2sqrt(n)
so A

question 2

case A: take 60 and 40
case 2: take 12 and 15

answer E- both insufficient
---------------
For Q1. k > 3n => k+n > 4n => sqrt(k+n) > 2 sqrt(n)
But this will hold true only if we will consider the +ve square root. what if one is +ve and the other is -ve. (although agreed to your explanation. Thanks.)

For Q2.
case A: take 60 and 40
case 2: take 12 and 15 , and also 60.

combining both will give answer C. correct me if I am wrong?
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by electrico » Wed Jun 10, 2009 3:01 am
Q3 and Q4 I also got it correct...but saw some other answers so thought of confirming. Thanks for that.
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by tohellandback » Wed Jun 10, 2009 3:22 am
electrico wrote:@tohellandback
question 1:
case 1:we know (and now you know:) for any two numbers n and k both >2
nk>n+k
sqrt(nk)>sq(n+k)
now k>3n so it is atleast 4
2sqrt(n)>sq(n=k) suficient
case 2: take sqrt on both sides
sqrt(n+k)>sq(3n)
now, in this case we are not sure if sqrt(n+k) >2sqrt(n)
so A

question 2

case A: take 60 and 40
case 2: take 12 and 15

answer E- both insufficient
---------------
For Q1. k > 3n => k+n > 4n => sqrt(k+n) > 2 sqrt(n)
But this will hold true only if we will consider the +ve square root. what if one is +ve and the other is -ve. (although agreed to your explanation. Thanks.)

For Q2.
case A: take 60 and 40
case 2: take 12 and 15 , and also 60.

combining both will give answer C. correct me if I am wrong?
Electricio: I think yuo are right..
silly mistake sorry
The powers of two are bloody impolite!!
Join the discussion

by electrico » Wed Jun 10, 2009 8:08 am
Means both my explanation are correct?

Can somebody suggets other explanation which lead to diff. answwrs?

Thanks tohellandback.
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by gmat_dest » Wed Jun 10, 2009 9:27 am
1. A
2. C
3. C
4. B

1 and 2 are already done.

3 is correct.

4th one.

a) number can be from 0.45 to 0.54 --- not sufficient
b) number can be from 0.50 to 1.49 ---- sufficient
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