Question

Rajeev and Sanjeev were feeling bored during the lockdown. They both created a number game.

Sanjeev prepared nine equilateral triangles and numbered them from 1 to 9. The numbers written

on the triangles also rep

resented length of each side of the triangle (in cm).

Sanjeev arranged them in the form of a circle. He asked Rajeev to remove alternate triangles

starting from number 1, going clockwise, until only one triangle remained.

Question 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?

a) 4

b) 2

c) 8

d) 6

Question 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?

Triangle no.-

a) 1

b) 3

c) 7

d) 6​

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

Learn More:

Rajeev continues in the same manner,

https://brainly.in/question/26113528

https://brainly.in/question/25994081

Answer 2

Answer:

ans is option c) 7

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