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gmatbusters' challenge questions

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Re: gmatbusters' challenge questions [#permalink] New post   23 Jun 2018, 07:57
gmatbusters wrote:
Six blocks shown below are to be rearranged so that the letters are in alphabetical order, reading from left to right. What is the minimum number of blocks that must be moved to arrive at the desired arrangement?
Attachment:
gmatbusters.jpg


A) 2
B) 3
C) 4
D) 5
E) 6


I think B
1) A C B E F D
2) A B C E F D
3) A B C D E F

the answer will change if we have to interchange the blocks. Then the ans will be 4. There can be various ways to solve then.
1) A B E F D C
2) A B C F D E
3) A B C D F E
4) A B C D E F
but as the question demands moving the blocks first approach needs to be followed i think, thus answer is 3

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gmatbusters' challenge questions [#permalink] New post   03 Jul 2018, 17:46
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At the Canterbury Dog Fair, 1/4 of the poodles are also show dogs and 1/7 of the show dogs are poodles. What is the least possible number Of dogs at the fair?
A) 10
B) 11
C) 15
D) 25
E) 70

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A
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Re: gmatbusters' challenge questions [#permalink] New post   12 Jul 2018, 10:15
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Let the number of Canterbury dogs = C
and number of show dogs = S
now, C/4 = S/7
For min value of total dogs, min value of C = 4, min value of S = 7.
now the min value of total no of dogs = number of Canterbury dogs+ number of show dogs- Common dogs
= 4+7-1 = 10

answer = 10

gmatbusters wrote:
At the Canterbury Dog Fair, 1/4 of the poodles are also show dogs and 1/7 of the show dogs are poodles. What is the least possible number Of dogs at the fair?
A) 10
B) 11
C) 15
D) 25
E) 70

Show SpoilerOA
A
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Is the slope of line m passing through (7,4) positive? [#permalink] New post   12 Jul 2018, 10:22
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Is the slope of line m passing through (7,4) positive?
1) The line m makes an angle of 30 deg with x-axis.
2) The y-intercept of line m is 2.

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B
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gmatbusters' challenge questions [#permalink] New post   13 Jul 2018, 09:39
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gmatbusters wrote:
Is the slope of line m passing through (7,4) positive?
1) The line m makes an angle of 30 deg with x-axis.
2) The y-intercept of line m is 2.

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B

Statement 1) The line \(m\) makes an angle of 30 degrees with the x-axis
Not helpful. See diagram.
We have no idea whether the angle is formed this way / or this way \
Insufficient.

Statement 2) The y-intercept of line m is 2.
Two points now: (0,2) and (7,4)
We have enough information to determine whether the slope is positive or negative.
(No need to calculate, but slope is \(\frac{2}{7}\))
Sufficient.

Answer B
Attachment:
DSslope 2018.07.13.jpg
DSslope 2018.07.13.jpg [ 61.89 KiB | Viewed 9799 times ]
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gmatbusters' challenge questions [#permalink] New post   17 Jul 2018, 03:00
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Barui drives a certain part of his journey at an average speed of 30 miles per hour and the rest at an average speed of 60 miles per hour. If he drives for 100 miles, is his average speed for the journey greater than 45 miles per hour?

(1) Had Barui driven at an average speed of 80 miles per hour rather than 30 miles per hour, his average speed for the journey would have been more than 68 miles per hour.

(2) Had Barui driven at an average speed of 40 miles per hour rather than 30 miles per hour, his average speed for the journey would have been less than 48.5 miles per hour.

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D
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gmatbusters' challenge questions [#permalink] New post   12 Aug 2018, 07:27
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The average of a couple was 24 year when the child was just born. What will be the age of the father when the child reaches to the age of the mother when she gave him the birth?
A) 24
B) 36
C) 48
D) 60
E) cannot be determined
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Re: gmatbusters' challenge questions [#permalink] New post   12 Aug 2018, 08:33
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gmatbusters wrote:
The average of a couple was 24 year when the child was just born. What will be the age of the father when the child reaches to the age of the mother when she gave him the birth?
A) 24
B) 36
C) 48
D) 60
E) cannot be determined



+1 for C

Let mother age be m and father age be f when child was born.

So, according to question m+f = 48

Now child age has increased by m, so father age will also increase by m

Hence father age = m+f = 48.

Correct me if I am wrong.
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Re: gmatbusters' challenge questions [#permalink] New post   12 Aug 2018, 08:36
Expert Reply
you are right. :thumbup:


arun6765 wrote:
gmatbusters wrote:
The average of a couple was 24 year when the child was just born. What will be the age of the father when the child reaches to the age of the mother when she gave him the birth?
A) 24
B) 36
C) 48
D) 60
E) cannot be determined



+1 for C

Let mother age be m and father age be f when child was born.

So, according to question m+f = 48

Now child age has increased by m, so father age will also increase by m

Hence father age = m+f = 48.

Correct me if I am wrong.
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gmatbusters' challenge questions [#permalink] New post   29 Aug 2018, 11:12
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#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.
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D
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Re: gmatbusters' challenge questions [#permalink] New post   29 Aug 2018, 11:23
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gmatbusters wrote:
#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.


Not that challenging to be honest. :-P

Option (B).

- Statement 1 gives us info about the other diagonal. Not suff.

- Statement 2 is sufficient as Diagonals of a parallelogram bisect each other.
Hence if AO = 16, AC = 32.

Regards,
Gladi
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Re: gmatbusters' challenge questions [#permalink] New post   29 Aug 2018, 12:45
gmatbusters wrote:
#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.
Diagonals bisect each other in parallelogram. Looks like answer is B

Thank you = Kudos
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Re: gmatbusters' challenge questions [#permalink] New post   29 Aug 2018, 17:35
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You have proved it...the OA is D.

It is not that easy.

Gladiator59 wrote:
gmatbusters wrote:
#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.


Not that challenging to be honest. :-P

Option (B).

- Statement 1 gives us info about the other diagonal. Not suff.

- Statement 2 is sufficient as Diagonals of a parallelogram bisect each other.
Hence if AO = 16, AC = 32.

Regards,
Gladi


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Re: gmatbusters' challenge questions [#permalink] New post   29 Aug 2018, 23:07
gmatbusters wrote:
You have proved it...the OA is D.

It is not that easy.

Gladiator59 wrote:
gmatbusters wrote:
#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.


Not that challenging to be honest. :-P

Option (B).

- Statement 1 gives us info about the other diagonal. Not suff.

- Statement 2 is sufficient as Diagonals of a parallelogram bisect each other.
Hence if AO = 16, AC = 32.

Regards,
Gladi


Posted from my mobile device
Hi gmatbusters,

Can you please provide OE

TIA

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Re: gmatbusters' challenge questions [#permalink] New post   30 Aug 2018, 06:23
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sumit411,

In Geometry DS Question, Visualization is the key...
Attachment:
WhatsApp Image 2018-08-30 at 18.50.19.jpeg
WhatsApp Image 2018-08-30 at 18.50.19.jpeg [ 68.9 KiB | Viewed 8630 times ]


gmatbusters wrote:
#DS CHALLENGING QUESTION OF THE DAY

If ABCD is a parallelogram with AB=21 BC=13 . What is the value of AC?
1) BD=14
2) AO=16, where O is the point of intersection of diagonals.
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Re: gmatbusters' challenge questions [#permalink] New post   11 Mar 2021, 20:55
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Re: gmatbusters' challenge questions [#permalink]
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