Mathematics

Grade-4-

Easy

Question

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

- The next shape is a circle
- The 15
^{th} shape in the pattern is a circle
- The triangle is the 1
^{st}, 4^{th}, 7^{th,} etc., shape
- All the above

^{th}shape in the pattern is a circle^{st}, 4^{th}, 7^{th,}etc., shapeHint:

### 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 15^{th} 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, 15^{t}^{h} shape is circle.

This option is right.

Option C : The triangle is 1^{st} ,4^{th}, 7^{th} etc., shape.

From the figure, we can see triangle is at 1^{st }, 4^{th}, 7^{th }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.