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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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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.

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:
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DSslope 2018.07.13.jpg [ 61.89 KiB | Viewed 10757 times ]
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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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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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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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you are right. :thumbup:


arun6765
gmatbusters
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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#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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#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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gmatbusters
#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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You have proved it...the OA is D.

It is not that easy.

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gmatbusters
#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
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You have proved it...the OA is D.

It is not that easy.

Gladiator59
gmatbusters
#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

Thank you = Kudos
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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 9459 times ]

gmatbusters
#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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