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sagar1810
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GMAT Questions Chat Group 07 Dec 2022, 01:31
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gmatophobia
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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GMAT Questions Chat Group 07 Dec 2022, 01:46
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gmatophobia
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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gmatophobia
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GMAT Questions Chat Group 07 Dec 2022, 01:48
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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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gmatophobia
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
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?
Show Spoiler
C
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GMAT Questions Chat Group Updated on: 07 Dec 2022, 04:00
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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gmatophobia
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
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GMAT Questions Chat Group Updated on: 07 Dec 2022, 05:00
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
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
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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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9! / (2! x 2! x 4!) = 3780(E)
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GMAT Questions Chat Group 07 Dec 2022, 08:18
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gmatophobia
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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royu
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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GMAT Questions Chat Group Updated on: 07 Dec 2022, 08:19
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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because I get 162 not 163

I did 4 cases
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gmatophobia
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mysterymanrog
because I get 162 not 163
Close close :)

mysterymanrog
I did 4 cases
ah ! you missed one then .. All E's
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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
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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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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GMAT Questions Chat Group Updated on: 07 Dec 2022, 10:04
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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gmatophobia
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
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gmatophobia
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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Sorry my fault again

It is -2
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GMAT Questions Chat Group Updated on: 08 Dec 2022, 00:22
Originally posted by gmatophobia on 08 Dec 2022, 00:18.
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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
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
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
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
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
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gmatophobia
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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