Latest TCS Aptitude Question SOLUTION: how many lattice points are there between (2,0) and(16,203. a.9 b.10 c.14 d.15

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(#M40012555) TCS question Keep an EYE

how many lattice points are there between (2,0) and(16,203.
a.9 b.10 c.14 d.15

Asked In TCS div (11 years ago)

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f  (11 years ago)

plz explain..

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dharmendra singh mavai  (9 years ago)

Lattice points are those which have equal co-ordinates.....concept came from solid-state chemistry....
now we can easily counted as ....(2,2), (3,3), (4,4)...........(14,14), (15,15) and only up to 15 because (16,16 ) would not come in the range of 203.... Hence, the final answer is 14.

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sumit  (11 years ago)

14
16-2=14

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himanshi tayal  (8 years ago)

The answer is D.
The line has slope 203/14 so its equation is y =
203
14
(x − 2). If (m,n) is a lattice point on the line segment joining the
two points in question, we will have 2 ≤ m ≤ 16 and n =
203
14
(m − 2), equivalently 203m − 14n = 406. There are
stabdard ways of finding all integer solutions of equations such as this one, but they are hardly needed here. If one
realizes that all coefficients are divisible by 7, one can rewrite the equation (after dividing by 7 and rearranging) in the
form 2n = 29m − 58. It should be clear that m cannot be odd; then 29m is odd and can’t equal 2n + 58. On the other
hand, if m is even, then 29m − 58 will be even, and expressible in the form 2n. Thus there will be a solution for every
even m, 2 ≤ m ≤ 16; a total of 8 solutions.

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Manikumar R  (10 years ago)

d 15
3,3|| 4,4||...........

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farzana begum  (8 years ago)

pls i need the answer for this question.

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Manikanta  (8 years ago)

n=203/14(m-2)
2n=29m-58
s0 m shud b even.
2 4 6 8 10 12 14 16....

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