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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] Quant Question of the Day Chat   19 Nov 2022, 12:52
kapil1995 wrote:
haha...Still not got it...why answer is not Option C

The answer is C. The answer was incorrectly initially incorrect published. It was later corrected. Hope that clarifies kapil1995
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   19 Nov 2022, 14:09
Is there a VERBAL group?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 19 Nov 2022, 18:47
gmatophobia wrote:
DS Question-2 Nov 19

If x is a positive number, is x an even integer?

(1) 3x is an even integer.

(2) 5x is an even integer.

Source: Manhattan | Difficulty: Hard

C

gmatophobia wrote:
DS Question-2 Nov 19

If x is a positive number, is x an even integer?

(1) 3x is an even integer.

(2) 5x is an even integer.

Source: Manhattan | Difficulty: Hard

C

Originally posted by Dip050701 on 19 Nov 2022, 18:46.
Last edited by Dip050701 on 19 Nov 2022, 18:47, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 19 Nov 2022, 22:52
gmatophobia wrote:
PS Question 1 - Nov 19

A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are

A) 0 and 13
B) 0 and 14
C) 1 and 10
D) 1 and 9
E) 2 and 8

Source: Official Guide | Difficulty : Hard

Show SpoilerOA
A


gmatophobia wrote:
DS Question 1 - Nov 19

Is the average of n consecutive integers equal to 1 ?

(1) n is even
(2) if S is the sum of the n consecutive integers, then 0 < S < n

Source: Manhattan | Difficulty: Hard

Show SpoilerOA
D


gmatophobia wrote:
PS Question - 2

If 2f(x) + f(x^2 - 1) = 1, for all x, then what is the value of f(-root(2)) ?

A. -1/3
B. 0
C. 1/3
D. 2/3
E. 1

Source: GMAT Club Tests | Difficulty: Hard

Show SpoilerOA
C


gmatophobia wrote:
DS Question-2 Nov 19

If x is a positive number, is x an even integer?

(1) 3x is an even integer.

(2) 5x is an even integer.

Source: Manhattan | Difficulty: Hard

Show SpoilerOA
C


PS Question 1 - Nov 20

What is the range of the roots of ||x – 1| – 2| = 1?

A. 0
B. 2
C. 4
D. 6
E. 8

Source: GMAT Club Tests | Difficulty : Medium

Originally posted by gmatophobia on 19 Nov 2022, 22:48.
Last edited by gmatophobia on 19 Nov 2022, 22:52, edited 3 times in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   19 Nov 2022, 23:12
DS Question 1 - Nov 20

At a certain florist shop, roses can be purchased either individually or as a bouquet of 12 at a discount of p percent. What is the greatest number of roses that can be purchased with $45?

(1) The greatest number of roses that can be purchased with $30 is 24.
(2) p = 20

Source: Manhattan | Difficulty : Hard
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 20 Nov 2022, 03:23
gmatophobia wrote:
PS Question 1 - Nov 20

What is the range of the roots of ||x – 1| – 2| = 1?

A. 0
B. 2
C. 4
D. 6
E. 8

Source: GMAT Club Tests | Difficulty : Medium

x has 4 possible values, 0, 2, -2, 4. So the answer is D. 6

The greatest number of roses with $45 is 36.

Originally posted by jscmm on 20 Nov 2022, 03:14.
Last edited by jscmm on 20 Nov 2022, 03:23, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 03:40
Suppose function f(x) is the integer part of number x. For example f(2.0)= 2, f(2.9999) = 2, f(2.1) = 2. The greatest number of roses with any amount of mony M is: f(M/15)*12 + f((M-f(M/15) * 15)/(15/12/(1-20%)))
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 06:22
jscmm wrote:
The greatest number of roses with $45 is 36.

Sorry ! I couldn’t catch this well. Do you mean that the answer is c ?

PS Question - 2

If p is a positive integer and p^3 is divisible by 576, the largest positive integer that must divide P is...

(A) 2
(B) 4
(C) 6
(D) 12
(E) 24

Source: Expert’s Global | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 07:14
gmatophobia wrote:
PS Question - 2

If p is a positive integer and p^3 is divisible by 576, the largest positive integer that must divide P is...

(A) 2
(B) 4
(C) 6
(D) 12
(E) 24

Source: Expert’s Global | Difficulty: Hard

Break 576 into factors: 6*96->6*3*32->2^6*3^2
As p^3 is divisible by 2^6*3^2, the smallest value of p is: 2^2*3= 12, which is D
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 08:17
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 09:42
gmatophobia wrote:
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard

Tricky Tricky. I am not sure if I got this one right, but A.

1) From plugging in values I can only think of cases where x and y are both proper fractions. e.g x=1/2 y=1/2, and all those cases lead to a "no" answer.
x and y cannot be negative integers here, else x+y will never be greater than, and if x or y is an integer and the other a fraction, statement 1 does not hold. However, X can be negative fraction Y can be positive, which leads to no answer as well.

2) very easy to disprove: x=y=-10 (no) but also x=y=10 (yes), two answers therefore insuff.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 20 Nov 2022, 10:40
mysterymanrog wrote:
gmatophobia wrote:
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard

Tricky Tricky. I am not sure if I got this one right, but A.

1) From plugging in values I can only think of cases where x and y are both proper fractions. e.g x=1/2 y=1/2, and all those cases lead to a "no" answer.
x and y cannot be negative integers here, else x+y will never be greater than, and if x or y is an integer and the other a fraction, statement 1 does not hold. However, X can be negative fraction Y can be positive, which leads to no answer as well.

2) very easy to disprove: x=y=-10 (no) but also x=y=10 (yes), two answers therefore insuff.

Well Tried buddy !! This is one of the hardest question on GC. The answer is E.

PS Question 3 - Nov 20 - This question was recently posted by Bunuel. A good one IMO :)

How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?

A. 6
B. 7
C. 8
D. 9
E. 10

Source: Others | Difficulty Level : Medium

Originally posted by gmatophobia on 20 Nov 2022, 10:36.
Last edited by gmatophobia on 20 Nov 2022, 10:40, edited 1 time in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 11:19
gmatophobia wrote:
PS Question 3 - Nov 20 - This question was recently posted by Bunuel. A good one IMO :)

How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?

A. 6
B. 7
C. 8
D. 9
E. 10

Source: Others | Difficulty Level : Medium

Took me ages.. did it in my head
First case is R0 - lcm(2,3,5,7) is 210k has 4 digits in range
Now...
The only other case is R1. Units digit must be 1, since we are dividng by 5.
Now the pattern is 210k+1. k=0-4 inclusive, so 5 numbers

Should be D.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 11:31
mysterymanrog wrote:
gmatophobia wrote:
PS Question 3 - Nov 20 - This question was recently posted by Bunuel. A good one IMO :)

How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?

A. 6
B. 7
C. 8
D. 9
E. 10

Source: Others | Difficulty Level : Medium

Took me ages.. did it in my head
First case is R0 - lcm(2,3,5,7) is 210k has 4 digits in range
Now...
The only other case is R1. Units digit must be 1, since we are dividng by 5.
Now the pattern is 210k+1. k=0-4 inclusive, so 5 numbers

Should be D.

Awesome !! Kudos to you ..
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 16:22
mysterymanrog wrote:
gmatophobia wrote:
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard

Tricky Tricky. I am not sure if I got this one right, but A.

1) From plugging in values I can only think of cases where x and y are both proper fractions. e.g x=1/2 y=1/2, and all those cases lead to a "no" answer.
x and y cannot be negative integers here, else x+y will never be greater than, and if x or y is an integer and the other a fraction, statement 1 does not hold. However, X can be negative fraction Y can be positive, which leads to no answer as well.

2) very easy to disprove: x=y=-10 (no) but also x=y=10 (yes), two answers therefore insuff.

I too am getting the same choice.. A, what’s the answer? gmatophobia
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   Updated on: 20 Nov 2022, 19:05
gmatophobia wrote:
PS Question 1 - Nov 20

What is the range of the roots of ||x – 1| – 2| = 1?

A. 0
B. 2
C. 4
D. 6
E. 8

Source: GMAT Club Tests | Difficulty : Medium

Show SpoilerOA
D


gmatophobia wrote:
DS Question 1 - Nov 20

At a certain florist shop, roses can be purchased either individually or as a bouquet of 12 at a discount of p percent. What is the greatest number of roses that can be purchased with $45?

(1) The greatest number of roses that can be purchased with $30 is 24.
(2) p = 20

Source: Manhattan | Difficulty : Hard

Show SpoilerOA
E


gmatophobia wrote:
PS Question - 2

If p is a positive integer and p^3 is divisible by 576, the largest positive integer that must divide P is...

(A) 2
(B) 4
(C) 6
(D) 12
(E) 24

Source: Expert’s Global | Difficulty: Hard

Show SpoilerOA
D


gmatophobia wrote:
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard

Show SpoilerOA
E


gmatophobia wrote:
PS Question 3 - Nov 20 - This question was recently posted by Bunuel. A good one IMO :)

How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?

A. 6
B. 7
C. 8
D. 9
E. 10

Source: Others | Difficulty Level : Medium

Show SpoilerOA
D


saisandeep1997 wrote:
mysterymanrog wrote:
gmatophobia wrote:
DS Question - 2 - Nov 20

Is x^3 + y^3 > x^2 + y^2?

(1) x + y > x^2 + y^2

(2) x^4 + y^4 > x^2 + y^2

Source: Manhattan | Difficulty: Hard

Tricky Tricky. I am not sure if I got this one right, but A.

1) From plugging in values I can only think of cases where x and y are both proper fractions. e.g x=1/2 y=1/2, and all those cases lead to a "no" answer.
x and y cannot be negative integers here, else x+y will never be greater than, and if x or y is an integer and the other a fraction, statement 1 does not hold. However, X can be negative fraction Y can be positive, which leads to no answer as well.

2) very easy to disprove: x=y=-10 (no) but also x=y=10 (yes), two answers therefore insuff.

I too am getting the same choice.. A, what’s the answer? @gmatophobia

Just added the OA to all the questions, the answer to this question is E.

Originally posted by gmatophobia on 20 Nov 2022, 19:01.
Last edited by gmatophobia on 20 Nov 2022, 19:05, edited 4 times in total.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 22:56
PS Question 1 - Nov 21

A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

I. 1
II. 3
III. 4

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II , and III

Source: Official Guide | Difficulty: Hard
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Nov 2022, 23:42
gmatophobia wrote:
Sorry ! I couldn’t catch this well. Do you mean that the answer is c ?

gmatophobia, Sorry for the confusion. Since Bouquet is in discount. The idea is to have as many bouquets as possible. The greatest number of roses with $30 is 24. Luckily 24 is exactly 2 times of 12, and therefore, the 24 roses should be bought in 2 bouquets. Then 1 bouquet (12 roses) is $15. Luckily, $45 is exactly 3 times of $15, and therefore, we can purchase 3 bouquets with $45. So the answer is 3*12 = 36.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   21 Nov 2022, 01:37
Please help Q: If x and y are integers and 7^x+1 - 7^x-1 / 3 = 2^y . (49^6) what is the value of xy?

(A) 104
(B) 96
(C) 52
(D) 48
(E) 44
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   21 Nov 2022, 01:39
Expert Reply
Zainali385 wrote:
Please help Q: If x and y are integers and 7^x+1 - 7^x-1 / 3 = 2^y . (49^6) what is the value of xy?

(A) 104
(B) 96
(C) 52
(D) 48
(E) 44


Discussed in detail here: https://gmatclub.com/forum/if-x-and-y-a ... 87422.html

Hope it helps.
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Re: Quant Question of the Day Chat [#permalink]
21 Nov 2022, 01:39
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