Mathematics
Grade-4-
Easy

Question

Select the true statement/s for the repeating pattern. The rule is "Triangle, Square, Circle”:

  1. The next shape is a circle    
  2. The 15th shape in the pattern is a circle    
  3. The triangle is the 1st, 4th, 7th, etc., shape    
  4. All the above    

hintHint:

We are given a repeating pattern of three shapes. The three shapes are triangle, square and circle. The rule to write shapes is “Triangle, Square, Circle”. We are given four different options. We are asked to find the right option.

The correct answer is: All the above


    The given pattern in words is Triangle, Square, Circle, Triangle, Square, Circle, Triangle, Square
    There are 8 shapes in the above sequence.
    Rule : "Triangle, Square, Circle."
    Let’s check the options one by one.
    Option A : The next shape is circle.
    The last shape is Square. According to the rule, the shape after square should be circle. Next shape will be circle.
    So, the option is right.
    Option B : The 15th shape in the pattern is circle.
    The third shape of the rule is circle. And the number of shapes repeating are 3. So, every multiple of 3 will be circle.
    3 × 5 = 15
    15 is a multiple of 3. So, 15th shape is circle.
    This option is right.
    Option C : The triangle is 1st ,4th, 7th etc., shape.
    From the figure, we can see triangle is at 1st , 4th, 7th etc., places.
    This option is right.
    Option D : All of the above.
    As all the three options are right, we have to choose the option D.

    We have to be careful about the order of the shapes.

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