Question

ANSWER THE FOLLOWING QUESTIONS

Q 1 - The triangles which Rajeev removed in the first round are, in order, numbered 1, 3, 5, 7, 9,…
If Rajeev continues in the same manner, which numbered triangle will be left in the last?

Q 2 - In the second round, Sanjeev started counting with triangle numbered as 1 and eliminated every third triangle, until only one triangle remained. Which of the following triangle will be left in the end?

Q 3 - Rajeev added two more triangles in the circle and numbered these as triangle 10 and triangle 11. In this round, Rajeev started counting with triangle numbered as 1, but anticlockwise, and eliminated every fifth triangle, until only one triangle remained. Which triangle will be left in the end?

Q 4 - If there are 9 triangles, will the perimeters of the triangles follow any pattern? If so, write the pattern?

Q 5 - The area of an equilateral triangle is √3/4 (side)square.
Find the areas of the triangles numbered 3 and 4.
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Answer 1

Given : Sanjeev arranged 9 triangles in the form of a circle.

Rajeev  removed alternate triangles

The triangles which Rajeev removed in the first round are, in order, numbered 1, 3, 5, 7, 9,…

Rajeev continues in the same manner,

To Find : which numbered triangle will be left in the last?

a) 4

b) 2

c) 8

d) 6

Solution:

 1      2     3    4   5    6     7    8     9  

Removed         1, 3, 5, 7, 9,…  

then removed    4      8          

then removed    6  

2  numbered triangle will be left in the last

Sanjeev started counting with triangle numbered as 1 and eliminated every third triangle,

 1      2     3    4   5    6     7    8     9  

Removed         3,   6  ,  9

then removed    4     8          

then removed     5    2 

then removed      7

1 number  triangle left in last

Learn More:

Rajeev continues in the same manner,

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