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 represented 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.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?

Triangle no.-

a) 4

b) 2

c) 8

d) 5

Question 4:

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

pattern?

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Question 5:

The area of an equilateral triangle is found using √

$\sqrt{3 \div 4} (side)2$


.Are the areas of the triangles numbered 3, 4 and 6, 8 in proportion? Justify your answer.

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Answer 1

Answer:

To show the same time together the difference between two watches must be 12 h.

Now, since they create 3 min difference in 1 h.

So, they will create 12 h difference in

3

1

×

24

12×60

=10 days later.

Answer 2

Answer:

5 and question 5)-yes their proportion are same