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Capthan
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Geometry and integers 01 Jun 2008, 04:50
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Pls explain an easy and fast way to solve this problem.
Thanks



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zeenie
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Geometry and integers 01 Jun 2008, 05:22
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Capthan
Pls explain an easy and fast way to solve this problem.
Thanks
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since the arc RSP is twice the length of PQR
The included angle of RSP will be twice of PQR
so RSP=2*x
Total angle of a circle=360 degrees
which means 2*x + x =360
which means x=120 degrees
can you please provide the OA
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zeenie
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Geometry and integers 01 Jun 2008, 05:25
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Capthan
Pls explain an easy and fast way to solve this problem.
Thanks
since the arc RSP is twice the length of PQR
The included angle of RSP will be twice of PQR
so RSP=2*x
Total angle of a circle=360 degrees
which means 2*x + x =360
which means x=120 degrees
can you please provide the OA
Show more
sorry . That was for another question.
Apologies
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rohit929
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Geometry and integers 01 Jun 2008, 05:31
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Capthan
Pls explain an easy and fast way to solve this problem.
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ans is 11

get the equation of the line

(x/50)+(y/30)=1

3x+5y=150

y=(150-3x)/5
y=30-(3x)/5

x has to be multiples of 5 so as x can wary from 0 to 50

there are10 multiples of 5 in it and then 0 is also one

sototal is 11
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zeenie
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Geometry and integers 01 Jun 2008, 05:35
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Pls explain an easy and fast way to solve this problem.
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Hi
If we find the equation of the given line PQ
we get 5y+3x=150

Now comes the shorter method bit
We will not try to substitute the value of Y.
We will only do it for x.
A number is divisible by 5 if it ends in 5 or 0.
This means to find Y, we need to subtract a multiple of 5 from 150
The multiples of 3 that ll qualify for this
3*0
3*5
3*10
3*15
3*20
3*25
3*30
3*35
3*40
3*45
3*50

As soon as x becomes 50, y becomes zero.
So a total of 11 values.
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spider
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Geometry and integers 01 Jun 2008, 12:37
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Pls explain an easy and fast way to solve this problem.
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Another easy way to solve this is the calculate the slope of the line, we get M = -3/5

so the equation of the line is y = mx + c -- > y = -3/5 x + c

for which values of x would -3/5 * x be an integer ---> x has to be multiple of 5 between 0 - 50 there are 11 including 0.

sorry dint read the messages above before I posted this :)



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!