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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   29 Nov 2022, 01:04
DS Question 1- Nov 29

Is the product of three consecutive integers negative?

(1) The sum of the integers is equal to the product of the integers.

(2) At least one of the integers is negative.

Source: GMAT Club Tests | Difficulty : Hard
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 01:42
gmatophobia wrote:
DS Question 1- Nov 29

Is the product of three consecutive integers negative?

(1) The sum of the integers is equal to the product of the integers.

(2) At least one of the integers is negative.

Source: GMAT Club Tests | Difficulty : Hard

E?
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gmatophobia
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 04:23
PS Question 2 - Nov 29

Jorge’s bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z represents a digit from 0 though 9. Which of the following could be the value of z ?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: Official Guide | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 06:29
gmatophobia wrote:
PS Question 2 - Nov 29

Jorge’s bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z represents a digit from 0 though 9. Which of the following could be the value of z ?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: Official Guide | Difficulty: Hard

Answer 2
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 09:58
gmatophobia wrote:
PS Question 2 - Nov 29

Jorge’s bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z represents a digit from 0 though 9. Which of the following could be the value of z ?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: Official Guide | Difficulty: Hard

a
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 10:07
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium
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cat2010
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 10:40
gmatophobia wrote:
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium

E
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 10:51
gmatophobia wrote:
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium

a^x=x^a
a=x=any number. insufficient.

ax>0. tells us x and a have the same sign, insuff

all three together.
a=x=any number, so clearly insuff.
E.
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 12:02
gmatophobia wrote:
PS Question 2 - Nov 29

Jorge’s bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z represents a digit from 0 though 9. Which of the following could be the value of z ?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: Official Guide | Difficulty: Hard

Can someone please post solution?
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Re: Quant Question of the Day Chat [#permalink] New post   29 Nov 2022, 12:05
jorge-s-bank-statement-showed-a-balance-that-was-0-54-greater-than-wh-322418.html
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 30 Nov 2022, 00:06
gmatophobia wrote:
PS Question 1 - Nov 29

55% of people like to travel by bus, 37% of people like to travel by auto and 25% of people like to travel by taxi. Also, 30% of people like to travel by at least two vehicles from bus, taxi, and auto, while 6% of people like to travel by all the three, then how many people like to travel by at least one of the three vehicles?

A. 94%
B. 93%
C. 87%
D. 81%
E. 51%

Source: Expert’s Global | Difficulty: Hard

Show SpoilerOA
D


gmatophobia wrote:
DS Question 1- Nov 29

Is the product of three consecutive integers negative?

(1) The sum of the integers is equal to the product of the integers.

(2) At least one of the integers is negative.

Source: GMAT Club Tests | Difficulty : Hard

Show SpoilerOA
E


gmatophobia wrote:
PS Question 2 - Nov 29

Jorge’s bank statement showed a balance that was $0.54 greater than what his records showed. He discovered that he had written a check for $x.yz and had recorded it as $x.zy, where each of x, y, and z represents a digit from 0 though 9. Which of the following could be the value of z ?

A. 2
B. 3
C. 4
D. 5
E. 6

Source: Official Guide | Difficulty: Hard

Show SpoilerOA
E


gmatophobia wrote:
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium

Show SpoilerOA
E


DS Question 1

Is |x| = y + z?

(1) x + y = z
(2) x < 0

Source: Manhattan | Difficulty: Hard

DS Question 1 - Nov 30

Is |x| = y + z?

(1) x + y = z
(2) x < 0

Source: Manhattan | Difficulty: Hard

Originally posted by gmatophobia on 29 Nov 2022, 23:59.
Last edited by gmatophobia on 30 Nov 2022, 00:06, edited 4 times in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 30 Nov 2022, 00:52
gmatophobia wrote:
DS Question 1 - Nov 30

Is |x| = y + z?

(1) x + y = z
(2) x < 0

Source: Manhattan | Difficulty: Hard

e

(1) x + y = z
Let ,-6+5=-1...where x=-6,y=5,z=-1....so |x| = 6 which is not equal to y+z..answer to our question is NO ...Now let -6+6=0....where x=-6,y=6,z =0....so |x| = 6 which is equal to y+z..answer to our question is Yes..hence insufficient
(2) x < 0
Any how it is Insufficient
(1)+(2) gives same as statement 1.....Insufficent...answer E

Originally posted by cat2010 on 30 Nov 2022, 00:48.
Last edited by cat2010 on 30 Nov 2022, 00:52, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   30 Nov 2022, 05:13
PS Question 1 - Nov 20

For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?

I. 2
II. 3
III. 10

A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III

Source: Expert’s Global | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] New post   30 Nov 2022, 05:46
gmatophobia wrote:
PS Question 1 - Nov 20

For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?

I. 2
II. 3
III. 10

A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III

Source: Expert’s Global | Difficulty: Hard

f(n)=n! where n>10, so definitely f(n) will end with 0. Thus f(n) +1 , will be odd and will end with unit digit as 1. Hence f(n) +1 , will never be divisible by 2 or 10, but may or may not be divisible by 3. So, D. I and III only should be the answer IMO.
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Re: Quant Question of the Day Chat [#permalink] New post   30 Nov 2022, 06:43
gmatophobia wrote:
PS Question 1 - Nov 20

For an integer n, the function f(n) is defined as the product of all integers from 1 to n, where n is greater than 10. Which of the following is NOT a factor of f(n)+1?

I. 2
II. 3
III. 10

A. None
B. II only
C. I and II only
D. I and III only
E. I, II and III

Source: Expert’s Global | Difficulty: Hard

Tricky question. Can be much harder if you don’t see the logic.
Remember that x and x+1 have no common factors.
Therefore, for any value of n>10 in the function f(n). It will have as a factor all the previous numbers.
Take the case of n=11. f(n) will be 11!, which has all integers from 1 to 11 as factors.
because n is always greater than 10, 2,3 and 10 itself are included in n!, and therefore n!+1 cannot contain any number from n! as a factor. So E.
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Re: Quant Question of the Day Chat [#permalink] New post   30 Nov 2022, 08:34
PS Question 2 - Nov 30

N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?

(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined

Source: GMATWhiz | Difficulty: Medium
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Re: Quant Question of the Day Chat [#permalink] New post   30 Nov 2022, 08:38
gmatophobia wrote:
PS Question 2 - Nov 30

N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?

(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined

Source: GMATWhiz | Difficulty: Medium

A?
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 30 Nov 2022, 08:40
gmatophobia wrote:
PS Question 2 - Nov 30

N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?

(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined

Source: GMATWhiz | Difficulty: Medium

E?

gmatophobia wrote:
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium

what’s the solution for this one ?

Originally posted by AbhinavKumar on 30 Nov 2022, 08:38.
Last edited by AbhinavKumar on 30 Nov 2022, 08:40, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   Updated on: 30 Nov 2022, 08:55
AbhinavKumar wrote:
gmatophobia wrote:
DS Question 2 - Nov 29

If a and x are integers and a > x what is the value of x ?

(1) a^x = x^a
(2) ax > 0

Source: Others (DS Butler) | Difficulty: Medium

what’s the solution for this one ?

INSUFF

its E

gmatophobia wrote:
PS Question 2 - Nov 30

N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?

(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined

Source: GMATWhiz | Difficulty: Medium

Should be E.
You can rewrite n as n=24k+16. therefore we are looking at 24k+16/18. If k is equal to 0, then the remainder is 16. But if k is equal to 1, the remainder is 4. Therefore we cannot determine with the given info.

Originally posted by mysterymanrog on 30 Nov 2022, 08:52.
Last edited by mysterymanrog on 30 Nov 2022, 08:55, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] New post   01 Dec 2022, 00:35
gmatophobia wrote:
PS Question 2 - Nov 30

N is positive integer and when N is divided by 24, the remainder is 16. What is the remainder, when N is divided by 18?

(A)4
(B)12
(C)16
(D)24
(E)Cannot be determined

Source: GMATWhiz | Difficulty: Medium

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