Mathematics
Grade-4-
Easy

Question

Nancy is making a repeating pattern for the rule "Triangle, Square, Pentagon, and Hexagon."

Which shape will be in the 49th shape in the pattern?

  1. Triangle    
  2. Square    
  3. Pentagon    
  4. Hexagon    

Hint:

We are given a repeating pattern of four shapes made by Nancy. The four shapes are triangle, square, pentagon and hexagon. The rule to write shapes is “Triangle, Square, Pentagon and Hexagon ”. We are asked to find the shape at 49th place.

The correct answer is: Triangle


    The given pattern in words is Triangle, Square, Pentagon and Hexagon, Triangle, Square, Pentagon

    We are asked to find the shape at the 49th place.
    The rule used to write the pattern is “ Triangle, Square, Pentagon and Hexagon”.
    Four shapes are repeating. And, the fourth shape is a hexagon.
    So, all multiples of four have hexagon in their position.
    We have to find the shape at 49th place. It is not a multiple of 4.
    The number closest to 49 which is a multiple of 4 is 48. So, at 48th position there will be a hexagon.
    49 is one place after 48. The shape which will come one place after hexagon is a triangle.
    So, the shape at the 49th place is a triangle.

    While solving such questions, we have to be careful about the order of the sequence.

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