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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   07 Dec 2022, 01:48
singhazsagar1810 - We don't know if N is an integer. If N = 1/2

14A – 11B = 1

Even - Odd = 11B

:dontknow:
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singhaz
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 02:21
gmatophobia wrote:
singhaz , sagar1810 - We don’t know if N is an integer. If N = 1/2

14A – 11B = 1

Even - Odd = 11B

:dontknow:

14A - 2N = 11B
2 (7A-N) =11B
7A-N must be equal to 11
is this correct?
what is OA btw?
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 02:31
singhaz wrote:
gmatophobia wrote:
singhaz , sagar1810 - We don’t know if N is an integer. If N = 1/2

14A – 11B = 1

Even - Odd = 11B

:dontknow:

14A - 2N = 11B
2 (7A-N) =11B
7A-N must be equal to 11
is this correct?
what is OA btw?

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C
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sagar1810
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 04:00
gmatophobia wrote:
singhaz , sagar1810 - We don’t know if N is an integer. If N = 1/2

14A – 11B = 1

Even - Odd = 11B

:dontknow:

Yeah I completely ignored that, My bad

I think the ans should be C

Originally posted by sagar1810 on 07 Dec 2022, 03:59.
Last edited by sagar1810 on 07 Dec 2022, 04:00, edited 1 time in total.
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mysterymanrog
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 05:00
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

This is how I solved:

Statement 1:
14A-11B=7N
If N=1/7, 14A-11B=odd, 11B=odd, b=od
If N=2, 14A-11B=even, 11B=even, B=E
insuff
Statement 2:
14A-11B=2N
Very similar reasoning to 1:
N=1/2, 14A-11B=odd, B is odd
N=int, 14A-11B=even, B is even
NS.
3:
14A-11B=7N
14A-11B=2N
N=(14A-11B)/2
14A-11B=7[(14A-11B)/2]
28A-22B=98A-77B
55B=70A
11B/14=A
A is integer, therefore B is 0 or m14, both of which are always even. sufficient.
C

Hope its right

Originally posted by mysterymanrog on 07 Dec 2022, 04:56.
Last edited by mysterymanrog on 07 Dec 2022, 05:00, edited 1 time in total.
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 07:13
PS Question 2 - Dec 07

How many different 4-letter words can be made using the letters of the word TENNESSEE ?

A. 47
B. 139
C. 163
D. 171
E. 3780

Source: GMAT Club Tests | Difficulty : Medium
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 07:38
9! / (2! x 2! x 4!) = 3780(E)
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 08:18
gmatophobia wrote:
PS Question 2 - Dec 07

How many different 4-letter words can be made using the letters of the word TENNESSEE ?

A. 47
B. 139
C. 163
D. 171
E. 3780

Source: GMAT Club Tests | Difficulty : Medium

Is B supposed to be 162?
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 08:18
royu wrote:
9! / (2! x 2! x 4!) = 3780(E)

I wish it were this simple :( . The working is possible arrangements of all the 9 letters. We need to create 4 letter word (out of the 9 available alphabets). :)
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 08:19
because I get 162 not 163

I did 4 cases

Originally posted by mysterymanrog on 07 Dec 2022, 08:18.
Last edited by mysterymanrog on 07 Dec 2022, 08:19, edited 1 time in total.
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 08:19
mysterymanrog wrote:
because I get 162 not 163

Close close :)

mysterymanrog wrote:
I did 4 cases

ah ! you missed one then .. All E's
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 08:21
case 1 no repeats: 4 unique letters, so 4p4=24
case 2, 1 2x repeat 2 unique: (3c1)(3c2)(4!/2!)=108
case 3, 1 3x repeat, 1 unique: (1c1)(3c1)(4!/3!)=12
case 4 2 2x repeat: (3c2)(4!/2!*2!)=18

gmatophobia wrote:
ah ! you missed one then .. All E

ha! i counted 3 e’s for some reason

u are right, that is the plus 1 missing
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 09:00
PS Question 3 - Dec 07

| x+5 |x| | < 12

What is the sum of all integers which satisfy the inequality above?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMAT Club Tests | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 07 Dec 2022, 10:04
gmatophobia wrote:
PS Question 3 - Dec 07

| x+5 |x| | < 12

What is the sum of all integers which satisfy the inequality above?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMAT Club Tests | Difficulty: Hard

A

Solution set is -3
Does anyone have any resources for how to deal with nested absloute value? I manually calculated here but I want to know if there is a bettwr method

Originally posted by mysterymanrog on 07 Dec 2022, 10:03.
Last edited by mysterymanrog on 07 Dec 2022, 10:04, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 10:09
gmatophobia wrote:
PS Question 3 - Dec 07

| x+5 |x| | < 12

What is the sum of all integers which satisfy the inequality above?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMAT Club Tests | Difficulty: Hard

A

Possible solutions are -2,1,-1,0
Sum is -2
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Re: Quant Question of the Day Chat [#permalink] New post   07 Dec 2022, 10:13
Sorry my fault again

It is -2
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 08 Dec 2022, 00:22
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

Show SpoilerOA
C


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

Show SpoilerOA
C


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

Show SpoilerOA
C


gmatophobia wrote:
PS Question 2 - Dec 07

How many different 4-letter words can be made using the letters of the word TENNESSEE ?

A. 47
B. 139
C. 163
D. 171
E. 3780

Source: GMAT Club Tests | Difficulty : Medium

Show SpoilerOA
C


gmatophobia wrote:
PS Question 3 - Dec 07

| x+5 |x| | < 12

What is the sum of all integers which satisfy the inequality above?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: GMAT Club Tests | Difficulty: Hard

Show SpoilerOA
A


DS Question 1 - Dec 8

Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?

(A) 1/3

(B) 2/3

(C) 1/2

(D) 7/10

(E) 4/5

Source: GMAT Club Tests | Difficulty Level: Medium

Originally posted by gmatophobia on 08 Dec 2022, 00:18.
Last edited by gmatophobia on 08 Dec 2022, 00:22, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   08 Dec 2022, 01:17
gmatophobia wrote:
DS Question 1 - Dec 8

Set S consists of all prime integers less than 10. If two numbers are chosen form set S at random, what is the probability that the product of these numbers will be greater than the product of the numbers which were not chosen?

(A) 1/3

(B) 2/3

(C) 1/2

(D) 7/10

(E) 4/5

Source: GMAT Club Tests | Difficulty Level: Medium

S={2,3,5,7}
Possible choices:
(3,7)(3,5)(5,3)(5,7)(7,3)(7,5)=6
Total ways to select: 4*3=12
6/12=1/2
C
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Re: Quant Question of the Day Chat [#permalink] New post   08 Dec 2022, 03:20
PS Question 1 - Nov 18

Let P = 36000. Let Q equal the sum of all the factors of 36000, not including 36000 itself. Let R be the sum of all the prime numbers less than 36000. Rank the numbers P, Q, and R in numerical order from smallest to biggest.

(A) P, Q, R
(B) P, R, Q
(C) Q, P, R
(D) R, P, Q
(E) R, Q, P

Source: Magoosh | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] New post   08 Dec 2022, 04:28
gmatophobia wrote:
PS Question 1 - Nov 18

Let P = 36000. Let Q equal the sum of all the factors of 36000, not including 36000 itself. Let R be the sum of all the prime numbers less than 36000. Rank the numbers P, Q, and R in numerical order from smallest to biggest.

(A) P, Q, R
(B) P, R, Q
(C) Q, P, R
(D) R, P, Q
(E) R, Q, P

Source: Magoosh | Difficulty: Hard

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