• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Geometry

TCS Question Papers: TCS Interview Experience(91) TCS Company Profile

(#M40024823) TCS Numerical Ability question Keep an EYE

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

Asked In TCS karthika (11 years ago)

Unsolved Read Solution (14)

Is this Puzzle helpful?   (22)   (13) Submit Your Solution Geometry

Read Solution (14) :

Asit Shukla  (11 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  (11 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  (10 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  (11 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  (11 years ago)

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

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

sudhee  (11 years ago)

16-2=14 lattice points

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

AKASH  (7 years ago)

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

Is this solution Helpfull? Yes (1) | No   

chiranjeevi M C  (11 years ago)

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

Is this solution Helpfull? Yes | No (6)  

DeXtEr  (11 years ago)

ans is 170000.9

Is this solution Helpfull? Yes | No (13)  

sarveshhvar  (9 years ago)

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

Is this solution Helpfull? Yes | No   

sarveshhvar  (9 years ago)

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

Is this solution Helpfull? Yes | No (2)  

arun kumar  (9 years ago)

explain it briefly @Sudhee

Is this solution Helpfull? Yes | No   

sitharth  (9 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   

ashish meher  (5 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   

Please Login to Read Solution.