Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 29)
29.
A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?
100
104
108
None of these
Answer: Option
Explanation:

Since each pole at the corner of the plot is common to its two sides, so we have :

Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.

Discussion:
12 comments Page 1 of 2.

Unknown said:   5 years ago
For those who are asking why 4 is subtracted.

Answer:
27 poles on each side.
It means 4 poles were commonly shared by all sides.
By multiplying *4 we are considering those commonly shared poles also. So we are removing 4 poles.

It is like saying a car has 8 wheels instead of 4.
By considering the front and back sides also.
i.e.,
right side = 2 wheels.
Left side = 2 wheels.
Front side =2 wheels.
Backside = 2 wheels.
(2)

Shibaemon said:   6 years ago
For those asking why 104, here's a simple visualization. See how they share a common fence.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 26 **
3 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 25 |
4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 24 |
5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 23 |
23 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5 |
24 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 4 |
25 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 3 |
26 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 **
27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

Remember, the fence we are talking about here is NOT the FLAT kind of fence.

Let's take 2 sides, let's say Top and Bottom. Both have 27 fence poles.

Then let's take Left and Right sides. They only have 25 fence poles remaining (still 27 per side but we won't count the other 2 because we already had them accounted in Top and Bottom sides).

That's (27*2)+(25*2) = 104.
or (25*4)+4 common corner = 104.
(1)

Aditya said:   6 years ago
@Prashnu @Soya.

They have mentioned that the poles are along the side of the square. They haven't mentioned that there is a pole common to adjacent sides of a square. Why can't we assume that there are 27 poles on one side of a square and no common pole on the corner, then the answer would have been 27*4=108?

That's the reason we are asking that why are the 4 poles subtracted?

Muskan said:   6 years ago
Why is 4 subtracted? Explain it?
(1)

Soya said:   6 years ago
27 pole in each side means, the poles in the corner is common for two sides. Thus we subtracted the poles in the corner, i.e, 4 poles.
(1)

Lakshminnarasimha said:   7 years ago
Total 27 poles.

25 poles are 4 sides=25*4=100.
corner side= 2*2=4,
So, Total =104.

Annie said:   7 years ago
Why 4 is subtracted? Please explain it.

Pranshu yadav said:   8 years ago
We have a square plot in each side there are 27 poles. So, 4 poles are common in each side :

(27 * 4)-4 =108-4 = 104 poles.
Therefore 104 poles are together used.

Kurp said:   8 years ago
I don't understand why 4 was subtracted at all. Please anyone explain it.

Kurp said:   8 years ago
@Roop.

Why would it be 25 if it clearly states 27?


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