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If [x] is the greatest integer less than or equal to x, what is the va

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If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 17 Dec 2012, 08:02
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If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] + [3.4] + [2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 17 Dec 2012, 08:06
5
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Walkabout wrote:
If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2, ...

Thus [-1.6]+[3.4]+[2.7]=-2+3+2=3.

Answer: A.

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Hope it helps.
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 17 Dec 2012, 08:28
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You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 17 Dec 2012, 23:53
[-1.6] = -2
[3.4] = 3
[2.7] = 2

-2 + 3 + 2 = 3

Answer: A
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 05 Aug 2015, 18:17
[2.7] = 3 or 2 ?

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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 05 Aug 2015, 18:20
MrPerfect wrote:
[2.7] = 3 or 2 ?

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[2.7] = 2 as [x] is less than x
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 05 Aug 2015, 18:22
Oh yes. Thank you

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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 28 Aug 2015, 04:09
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Engr2012 wrote:
MrPerfect wrote:
[2.7] = 3 or 2 ?

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[2.7] = 2 as [x] is less than x

Since the question says integer <= x
[-1.6]= -2
[2.7] = 2
[3.4] = 3

so,
-2+3+2 =3

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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 21 Jun 2016, 09:35
5
Walkabout wrote:
If [x] is the greatest integer less than or equal to x, what is the value of [-1.6]+[3.4]+[2.7]?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7


Remember that an integer is a "whole number" (either positive or negative), or 0. Thus, if we want to know the greatest integer less than or equal to, for example, 2.1, the answer would be the integer 2, because the integer 2, in this case, is the largest integer that is less than 2.1. Similarly, the greatest integer less than -2.4 would be -3, because the integer -3 is the largest integer that is less than -2.4. Note that in each case, we have rounded down, because of the "less than" requirement stated in the question stem.

We first need to determine the values for [-1.6], [3.4],and [2.7]. Since the notation [x] means the greatest integer less than or equal to x, we will round down each value in the brackets. Therefore,

[-1.6] = -2

[3.4] = 3

[2.7] = 2

We sum these three integers:

-2 + 3 + 2 = 3

Answer is A.
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 07 Aug 2017, 08:05
karanamin wrote:
You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.


My question is when we say 'less than equal to' --> it means; we take the smaller integer closest to it?
so for -1.6 it is -2 (coz -2 is less than -1); and 3 for 3.4 and 2 for 2.7 and so on?

Thank you!
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 03 Nov 2017, 17:42
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 03 Nov 2017, 22:25
infinitemac wrote:
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!


Let me ask you - what is the question:

What is the value of [-1.6] + [3.4] + [2.7] = ?

OR

What is the value of [-1.6 + 3.4 + 2.7] = ?
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 04 Nov 2017, 04:35
Bunuel wrote:
infinitemac wrote:
Question - I first approached this question by straight away adding -1.6 + 3.4 + 2.7 but how come we have to find out what each individual value is worth before combining them? Thanks!


Let me ask you - what is the question:

What is the value of [-1.6] + [3.4] + [2.7] = ?

OR

What is the value of [-1.6 + 3.4 + 2.7] = ?


Oh okay so because each value is with in its own bracket it needs to be solved first. Thanks!
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Re: If [x] is the greatest integer less than or equal to x, what is the va  [#permalink]

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New post 06 Nov 2017, 15:33
Madhavi1990 wrote:
karanamin wrote:
You are asked what the closest lesser integer value to [x] is.

[-1.6] = -2.0
[3.4] = 3.0
[2.7] = 2.0

Therefore , answer is: -2.0 + 3.0 + 2.0 = 3.0

Option A.


My question is when we say 'less than equal to' --> it means; we take the smaller integer closest to it?
so for -1.6 it is -2 (coz -2 is less than -1); and 3 for 3.4 and 2 for 2.7 and so on?

Thank you!


That is correct :-)

So less than or equal to would be like this -> [1.6] = 1 or [-2.1] = -3 or [-5] = -5 ;
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Re: If [x] is the greatest integer less than or equal to x, what is the va &nbs [#permalink] 06 Nov 2017, 15:33
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