Test: Patterns - 2 - Class 5 MCQ

Consider the question figure, where the design in each part will be obtained by rotating the previous design by 90 degrees in the clockwise direction.

So, the missing part will be option (b).

Hence, the complete figure is:

The closest square number above 136 is 144, which is 12 squared (12 x 12). The difference between 144 and 136 is 8. Therefore, you need to add 8 to make 136 a square number.

Each part of the square box contains a triangle inscribed in the circle in the given figure. Also, the triangle in the next circle is the vertical image of the previous one.

Similarly, in the second row, the triangle in the missing part will be an image of the previous one.

Thus, the missing part is option (a).

The next triangular number after 28 can be found using the formula for triangular numbers: n(n + 1) / 2.

• Triangular numbers are formed by adding consecutive whole numbers.
• The 7th triangular number is 28, so the next is the 8th.
• Calculate using 8(8 + 1) / 2:
• 8 × 9 / 2 = 36
• Therefore, the next triangular number is 36.

In the given figure, we can observe that the sum of the four numbers is equal to the number written in the middle of the shape.

That means,

11 + 22 + 33 + 44 = 110

16 + 24 + 32 + 40 = 112

? + 23 + 34 + 12 = 114

? = 114 – 23 – 34 – 12 = 45

Therefore, the missing number is 45.