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mbaiseasy
Rule: //t// is the greatest integer less than or equal to t
Problem: Is //k// evenly divisible by 2?

(1) 5 < k < 6
//k// = 5 which is not divisible by 2
SUFFICIENT.
(2) //k + 2.3// = 7
8 > k + 2.3 >= 7
5.7 > k > 4.7
if k = 4, YES
if not, NO
INSUFFICIENT.

Answer: A

Reviving an old thread... can I kindly clarify an item?

I completely understand these equations:
8 > k + 2.3 >= 7
5.7 > k >= 4.7

However, given these, how can we assume that K = 4 when it's clearly said that K>=4.7?

If I take the solution set above, then
K = 4.7 --> NOT EVENLY DIVISIBLE BY 2
K = 5 --> NOT EVENLY DIVISIBLE BY 2
K = 5.7 --> NOT EVENLY DIVISIBLE BY 2

Any number from the solution set seems to be non-divisible by 2. If that's the case, then B should be sufficient.

Please let me know what I am missing

------------------------------------------------------------

EDIT: I get it now. I misunderstood the question. The question is asking for // K // and not for K. Hence B is not sufficient.
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For all numbers t, let //t// be defined as the greatest integer less than or equal to t. Is //k// evenly divisible by 2?

(1) 5 < k < 6

//k// = 5 ALWAYS

5 is not divisible by 2

Sufficient

(2) //k + 2.3// = 7

k = 5 --> //5 + 2.3 = 7.3// = 7 NO
k = 4.9 --> //4.9 + 2.3 = 7.2 // = 7 YES

Insufficient

A
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1) 5 < k < 6 means //k// must be 5.
5 is not divisible by 2
Sufficient

2) For //u// = 7, 8>u>=7
8 > k+2.3 >= 7
5.7 > k >= 4.7
Because //k// can equal 5 (for values 5.7 to 5) or 4 (4.7 to 4.9999999), //k// may or may not be divisible by 2.
Insufficient.

Answer: A.
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mbaiseasy
Rule: //t// is the greatest integer less than or equal to t
Problem: Is //k// evenly divisible by 2?

(1) 5 < k < 6
//k// = 5 which is not divisible by 2
SUFFICIENT.
(2) //k + 2.3// = 7
8 > k + 2.3 >= 7
5.7 > k > 4.7
if k = 4, YES
if not, NO
INSUFFICIENT.

Answer: A

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(2) //k + 2.3// = 7...

Hi! Statement (1) is fine but can someone please explain break it down for my simple mind, how did we enter the inequality realm in (2) mentioned here? Thanks in advance.
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I have a question Bunuel:

I evaluated "//k+2.3//" as//k// + //2.3//

//2.3// = 2

Implying that, //k// = 7 - 2 = 5

Why is this interpretation incorrect?

Edit: I understand why and this question can be ignored.

f(a+b) need not be equal to f(a) = f(b)
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aishwarysoni
I have a question Bunuel:

I evaluated "//k+2.3//" as//k// + //2.3//

//2.3// = 2

Implying that, //k// = 7 - 2 = 5

Why is this interpretation incorrect?

I think your doubt is already answered here: https://gmatclub.com/forum/for-all-numb ... l#p2473413

Hope it helps.
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