Latest TCS Aptitude Question SOLUTION: You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?

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You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?

Asked In TCS chandni bhatia (11 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

Pritam singh  (11 years ago)

1st triangle formed by using 3 sticks ...
so remaining sticks are =87-3=84
all other can be formed by just using two sticks =84/2 =42

so total =42(by using two sticks)+1(by using three sticks) =43

Is this solution Helpfull? Yes (49) | No   

Swapnil Deshmukh  (11 years ago)

Number of triangles formed
2n+1=87 then n=43 Ans

Is this solution Helpfull? Yes (32) | No (2)  

Pallavi Barjatiya  (11 years ago)

@ swapnil : nt gettin. . cn you explain in detail please :) why did you use this formula ??

Is this solution Helpfull? Yes (4) | No (2)  

Swastika Chatterjee  (11 years ago)

sorry the ans will be 43 . . .

Is this solution Helpfull? Yes (3) | No (4)  

Swastika Chatterjee  (11 years ago)

3200 is the answr

Is this solution Helpfull? Yes (2) | No (22)  

sathishkumar  (11 years ago)

87-3=84
84/2=42
42+1=43

Is this solution Helpfull? Yes (2) | No   

sandeep  (11 years ago)

the question is wrong ,it shud be like if first triangle is formed with three sticks and later with two sticks?how many triangles are posssible??=43

Is this solution Helpfull? Yes (1) | No (2)  

PURBASHA ROY  (8 years ago)

Here we know,
3 matchsticks form 1 triangle
5 matchsticks form 2 triangle
7 matchsticks form 3 triangle

In this way, the matchsticks and the triangles both follow different A.P. series.
We have total 87 matchsticks
Now if 87 is the = [(87-3)/2]+1
= 43 th term of the A.P. series of matchsticks.

Now, the 43 th term of the A.P. series of triangle is 43.
So, answer is,
we can form 43 triangles.

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NARSINGH  (8 years ago)

by arranging in rectangular manner how to form triangle? will u please explain.

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jasveer   (11 years ago)

but we have to form rectangle not triangle SWAPNIL DESHMUKH

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rakhi katiyar  (11 years ago)

@ swapnil plz explain me..why r u used 2n+1 formula

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preethi  (9 years ago)

how all others are formed by using 2 sticks?

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kuldeep kumar  (8 years ago)

2n + 1 = k
Here n = triangles, k = sticks
2n+1 = 87
n = 43
so ans is 43 triangles.

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neeraj  (7 years ago)

First form the first triangle by using 3 sticks then, use one of the three sides of first triangle as the first side of second triangle.. Add two extra sticks to it... I hope i m clear..

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