Latest TCS Aptitude Question SOLUTION: How many lattice points are there between (2,0) and (16,203)?

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How many lattice points are there between (2,0) and (16,203)?

Asked In TCS karthika (10 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

Asit Shukla  (10 years ago)

The slope of the line (y2-y1)/(x2-x1)=203/14=29/2.
now lattice point will be
(2,0) (4,29) (6,58) (8,87) (10,116) (12,145)
(14,174) (16,203)

just find slope and increase x by 2(x2-x1) and y by 29(y2-y1).

Is this solution Helpfull? Yes (56) | No (4)  

Sruthi aravind  (10 years ago)

jUs REMBEBER DZ :
lattice points can always b easily determined as d difference btwn d values of "X" coordinates ie;
LATTICE POINTS = DIFFERENCE BETWEEN "x" COORDINATES
= X2-X1 {{{(X1,Y1) (X2,Y2) [GIVEN]}}}
= 16-02
= 14
ANSWER = *14*
#

Is this solution Helpfull? Yes (16) | No (22)  

Srinivas  (9 years ago)

The lattice Points forms when the two co-ordinate axis cut at integral parts.
The x axis is from 2 to 16 with 14 integer values between them.
then the corresponding y values will be from 0 to 203 with
203/14=14.5 in each.
The x and y axis meet at points
(2,0) (3,14.5) (4,29) (5,43.5) (6,58)....(16,203)
x and y meet at 16 points.
But the considering the integer points only 8 of them are available.
Hence the number of lattice points will be 8.

Is this solution Helpfull? Yes (11) | No   

Subhajit Das  (10 years ago)

draw a line from origin(0,0) to (14,203)
this line is parallel to the line joining(2,0) and (16,203).
A lattice point is defined as the positive values for x and y coordinates along the line in a graph.
after drawing this line you will come across 8 such points.
so the answer is 8

Is this solution Helpfull? Yes (9) | No (3)  

sravani  (10 years ago)

@asit plz exlain how u got the lattice points (2,0)(4,29)....

Is this solution Helpfull? Yes (2) | No (2)  

sudhee  (10 years ago)

16-2=14 lattice points

Is this solution Helpfull? Yes (1) | No (4)  

AKASH  (6 years ago)

x1=2 and x2=16
lattice points =x2/x1=16/2=8

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chiranjeevi M C  (10 years ago)

the points between these coordinate points so ans:15(including 2 and 16)

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DeXtEr  (10 years ago)

ans is 170000.9

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sarveshhvar  (8 years ago)

answer=2
make integral solution of 14 y=203x-406

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sarveshhvar  (8 years ago)

answer=2
make integral solution of 14 y=203x-406

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arun kumar  (8 years ago)

explain it briefly @Sudhee

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sitharth  (8 years ago)

Slope (m) = (y2 - y1) / (x2 - x1)
m = 203 / 14

General Equation of Line :
y - y1 = m * (x - x1)
=> y - 0 = (203/14)* (x - 2)
=> y = (203/14)* (x-2)

If(a,b) is a lattice point that joint the line segment,
then
2

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ashish meher  (4 years ago)

Slope (m) = (y2 - y1) / (x2 - x1)
m = 203 / 14

General Equation of Line :
y - y1 = m * (x - x1)
=> y - 0 = (203/14)* (x - 2)
=> y = (203/14)* (x-2)

If(a,b) is a lattice point that joint the line segment,
then
2

Is this solution Helpfull? Yes | No   

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