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Quant Question of the Day Chat

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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 05 Dec 2022, 23:47
gmatophobia wrote:
PS Question 1 - Dec 5

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?

A. 4
B. 5
C. 6
D. 7
E. 8

Source: Official Guide | Difficulty: Medium

Show SpoilerOA
B


gmatophobia wrote:
DS Question 1 - Dec 5

Are the numbers k/4, z/3, and r/2 in increasing order?

(1) 3 < z < 4
(2) r < z < k

Source: Others | Difficulty: Medium

Show SpoilerOA
E


gmatophobia wrote:
DS Question 2 - Dec 5

The top surface area of a square tabletop was changed so that one of the dimensions was reduced by 1 inch and the other dimension was increased by 2 inches. What was the surface area before these changes were made?

(1) After the changes were made, the surface area was 70 square inches.
(2) There was a 25 percent increase in one of the dimensions.

Source: Official Guide | Difficulty: Hard

Show SpoilerOA
D


PS Question 1 - Dec 06

A 5 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?

A) 1/6
B) 1/5
C) 3/10
D) 1/3
E) 2/5

Source: GMAT Club Tests | Difficulty: Hard

Originally posted by gmatophobia on 05 Dec 2022, 23:44.
Last edited by gmatophobia on 05 Dec 2022, 23:47, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 01:20
gmatophobia wrote:
PS Question 1 - Dec 06

A 5 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?

A) 1/6
B) 1/5
C) 3/10
D) 1/3
E) 2/5

Source: GMAT Club Tests | Difficulty: Hard

X is length of wire cut which forms permiter
X=4s
s=x/4
Area needs to be greater than one so
(x/4)^2>1
x>4
Therefore we need the longer cut to be more than 4 meters.
We can aproximate that the cut must be between 0cm and 99cm or 401cm and 500cm.
99*2/500
Must be E, as it is the only one remotley close.
I’m assuming this is an aproximate probability since it will be slightly less than 2/5 (since you cant cut at 100cm or 400cm)
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 07:09
DS Question 1 - Dec 6

Given that x is a real number, is −1 < x < 3?

(1) ||x − 1| − 1| < 1

(2) (x + 1)(x − 3) < 0

Source: Others | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 08:29
[quote="gmatophobia"] DS Question 1 - Dec 6

Given that x is a real number, is −1 this is we want

B). |x-1| > 0
x can be anything but 1

now here’s the confusion - how do I treat this information from B ?? we combine inferences from A and B, saying that -1if so, then answer is "option D"
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 23:21
gmatophobia wrote:
PS Question 1 - Dec 06

A 5 meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point?

A) 1/6
B) 1/5
C) 3/10
D) 1/3
E) 2/5

Source: GMAT Club Tests | Difficulty: Hard

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E
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 06 Dec 2022, 23:39
PS Question 1 - Dec 7

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

Source : Official Guide | Difficulty: Medium

Originally posted by gmatophobia on 06 Dec 2022, 23:35.
Last edited by gmatophobia on 06 Dec 2022, 23:39, edited 2 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 23:41
gmatophobia wrote:
PS Question 1 - Dec 7

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

Source : Official Guide | Difficulty: Medium

C. 22
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 23:43
AbhinavKumar wrote:
gmatophobia wrote:
DS Question 1 - Dec 6

Given that x is a real number, is −1 this is we want

B). |x-1| > 0
x can be anything but 1

now here’s the confusion - how do I treat this information from B ?? we combine inferences from A and B, saying that -1<x<3 but x !=1
if so, then answer is "option D"


AbhinavKumar - The output of the modulus operation will always yield a non negative value. Hence once we couple that information that value of x will always lie between -1 and 3.

We can solve Statement 1

| |x-1| - 1 | < 1

0 <= | |x-1| - 1 | < 1

0 <= |x-1| - 1 < 1 or -1 < |x-1| - 1 <= 0
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Re: Quant Question of the Day Chat [#permalink] New post   06 Dec 2022, 23:52
DS Question 1 - Dec 7

Let S be a set of outcomes and let A and B be events with outcomes in S. Let ∼B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ?

(1) P(A ⋃ B) = 0.7
(2) P(A ⋃∼B) = 0.9

Source : Official Guide | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 00:04
gmatophobia wrote:
PS Question 1 - Dec 7

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

Source : Official Guide | Difficulty: Medium

A

Shikhar29 wrote:
gmatophobia wrote:
PS Question 1 - Dec 7

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

Source : Official Guide | Difficulty: Medium

A

Sorry C :-P

Originally posted by Shikhar29 on 07 Dec 2022, 00:03.
Last edited by Shikhar29 on 07 Dec 2022, 00:04, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 00:13
gmatophobia wrote:
DS Question 1 - Dec 7

Let S be a set of outcomes and let A and B be events with outcomes in S. Let ∼B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ?

(1) P(A ⋃ B) = 0.7
(2) P(A ⋃∼B) = 0.9

Source : Official Guide | Difficulty: Hard

should be C

recall that 1=P(A)+P(B)-P(A and B)+P(not A or B)

You get each piece from 1 and 2

Originally posted by mysterymanrog on 07 Dec 2022, 00:12.
Last edited by mysterymanrog on 07 Dec 2022, 00:13, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 00:14
mysterymanrog wrote:
You get each piece from 1 and 2

What’s the value of P(A) you got ?
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 00:18
gmatophobia wrote:
PS Question 1 - Dec 7

If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?

A. –8
B. 12
C. 22
D. 52
E. 252

Source : Official Guide | Difficulty: Medium

A is possible: -5+-3
B is possible: 5+7
D:25+27 possible
E: 125 plus 127 possible
C: 13 plus 11 is 24, 7 plus 11 is 19 - not a possible sum given the conditions
C

AbhinavKumar wrote:
What’s the value of P(A) you got ?

I didnt calculate since its DS

Originally posted by mysterymanrog on 07 Dec 2022, 00:17.
Last edited by mysterymanrog on 07 Dec 2022, 00:18, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 00:49
AbhinavKumar wrote:
What’s the value of P(A) you got ?

but if I am correct: from 1 you find everything that is not A or B which is 0.3, and from 2 you find B (since 2 is everything that is A or not B) which is .1
then you do 1=P(A)+P(B)-Both plus Neither:
P(A and B) can be found from 1:
0.7=P(A)+0.1-Both

1=P(A)+0.1+0.3-0.6+P(A)
1.2=2P(A)
p(A)=0.6
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:07
mysterymanrog wrote:
but if I am correct: from 1 you find everything that is not A or B which is 0.3, and from 2 you find B (since 2 is everything that is A or not B) which is .1
then you do 1=P(A)+P(B)-Both plus Neither:
P(A and B) can be found from 1:
0.7=P(A)+0.1-Both

1=P(A)+0.1+0.3-0.6+P(A)
1.2=2P(A)
p(A)=0.6

thanks for the explanation, p(A) is indeed coming out as 0.6
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:08
AbhinavKumar wrote:
mysterymanrog wrote:
but if I am correct: from 1 you find everything that is not A or B which is 0.3, and from 2 you find B (since 2 is everything that is A or not B) which is .1
then you do 1=P(A)+P(B)-Both plus Neither:
P(A and B) can be found from 1:
0.7=P(A)+0.1-Both

1=P(A)+0.1+0.3-0.6+P(A)
1.2=2P(A)
p(A)=0.6

thanks for the explanation, p(A) is indeed coming out as 0.6

calculating takes too long imo I wouldnt have done it in real GMAT but since its practice its okay
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:11
even I would refrain myself from doing long unnecessary calculations in DS. I was just checking on the value just for practice. Thanks again !
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:14
DS Question 2 - Dec 07

If A and B are integers, is B even?

(1) 14A – 11B = 7N
(2) 14A – 11B = 2N

Source: GMATPrepNow | Difficulty : Hard
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:31
gmatophobia wrote:
DS Question 2 - Dec 07

If A and B are integers, is B even?

(1) 14A – 11B = 7N
(2) 14A – 11B = 2N

Source: GMATPrepNow | Difficulty : Hard

B
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 01:46
gmatophobia wrote:
DS Question 2 - Dec 07

If A and B are integers, is B even?

(1) 14A – 11B = 7N
(2) 14A – 11B = 2N

Source: GMATPrepNow | Difficulty : Hard

b
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Re: Quant Question of the Day Chat [#permalink]
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