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How many points (x y), where x and y are integers, lie inside of the t
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Bunuel
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How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  05 May 2020, 03:57
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How many points (x y), where x and y are integers, lie inside of the triangular region with vertices (0, 0), (0, 31), and (31, 0) ?

A. 435
B. 450
C. 464
D. 465
E. 466


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GMATinsight
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  05 May 2020, 06:46
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Bunuel wrote:
How many points (x y), where x and y are integers, lie inside of the triangular region with vertices (0, 0), (0, 31), and (31, 0) ?

A. 435
B. 450
C. 464
D. 465
E. 466


Are You Up For the Challenge: 700 Level Questions


The step-by-step solution to this HARD problem is explained well in Video

Please subscribe to my YOuTube channel if you wish to watch many such FREE Videos.

Answer: Option A


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Chethan92
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  05 May 2020, 05:53
1
Mapping the co-ordinates will give a right-angled triangle in the I quadrant.

Since we need to calculate the points inside the triangle, the base will be of length 31-1-1 = 29.
Next line will have 28 points, 27 and so on.

Total points = 29*30/2 = 435.

A is the answer.
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  05 May 2020, 08:26
GMATinsight wrote:
Bunuel wrote:
How many points (x y), where x and y are integers, lie inside of the triangular region with vertices (0, 0), (0, 31), and (31, 0) ?

A. 435
B. 450
C. 464
D. 465
E. 466


Are You Up For the Challenge: 700 Level Questions


The step-by-step solution to this HARD problem is explained well in Video

Please subscribe to my YOuTube channel if you wish to watch many such FREE Videos.

Answer: Option A



your videos are really helpful :)
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GMATinsight
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  06 May 2020, 02:34
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Kritisood wrote:
GMATinsight wrote:
Bunuel wrote:
How many points (x y), where x and y are integers, lie inside of the triangular region with vertices (0, 0), (0, 31), and (31, 0) ?

A. 435
B. 450
C. 464
D. 465
E. 466


Are You Up For the Challenge: 700 Level Questions


The step-by-step solution to this HARD problem is explained well in Video

Please subscribe to my YOuTube channel if you wish to watch many such FREE Videos.

Answer: Option A



your videos are really helpful :)


Thank you so much Kritisood

I plan to make more such videos. Please subscribe to my YouTube Channel if you have not yet :)
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  26 May 2020, 20:13
Chethan92 wrote:
Mapping the co-ordinates will give a right-angled triangle in the I quadrant.

Since we need to calculate the points inside the triangle, the base will be of length 31-1-1 = 29.
Next line will have 28 points, 27 and so on.

Total points = 29*30/2 = 435.

A is the answer.



Hi
Could you please explain the steps as your method seems to be really quick and easy to solve?
Could you please explain the step where you calculated the total points?
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Re: How many points (x y), where x and y are integers, lie inside of the t [#permalink] New post  26 May 2020, 21:23
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riagarg07 wrote:
Chethan92 wrote:
Mapping the co-ordinates will give a right-angled triangle in the I quadrant.

Since we need to calculate the points inside the triangle, the base will be of length 31-1-1 = 29.
Next line will have 28 points, 27 and so on.

Total points = 29*30/2 = 435.

A is the answer.



Hi
Could you please explain the steps as your method seems to be really quick and easy to solve?
Could you please explain the step where you calculated the total points?


riagarg07

The method explained in short has been well explained in detail in the video. You may watch it for clear understanding.

If you like th evideo then please subscribe to my YouTube channel as well for encouraging me to make more such informative video and for gaining access to many such videos :)
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