Test: Shapes & Spatial Understanding - 3 - CTET & State TET MCQ

 (2 x 2) + 1 = 5
(5 x 2) + 1 = 11
(11 x 2) + 1 = 23
(23 x 2) + 1 = 47

The list of the number will be 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64........

The 1st term has 1 dot inside the rectangle. The 2nd term has 2 (1 + 1) dots inside the rectangle. The 3rd term has 3(2 + 1) dots inside the rectangle. The 4th term has 4(3 + 1) dots inside the rectangle. The 5th term has 5(4 + 1) dots inside the rectangle.

The difference between two terms is 2 in decrease order.
32 - 2 = 30
30 - 2 = 28
28 - 2 = 26
26 - 2 = 24

Within each term each letter skips 2 alphabets to reach next; the next term starts with the letter following the last alphabet in the term before.

The rule of the pattern is to add 4
34 + 4 = 38
38 + 4 = 42
42 + 4 = 46
46 + 4 = 50
50 + 4 = 54

Figure A is a square divided in 4 parts. Figure B is a circle divided in 2 parts. Figure C is a pentagon divided in 3 parts. Figure b is a hexagon divided in 6 parts. Hence, Figures A. B and D have even number of parts, but Figure C has odd number of parts and hence C is different from the rest.

The first term has 1 square. The 2nd term has 3 (1 + 2) squares. The 3rd term has 5 (3 + 2) squares. The 4th term has 7 (5 + 2) squares. The 5th term will have 9 (7 + 2) squares.

The point is moving clockwise at a distance equal to half the length of side from the point in the previous term.

Option D shows a pair of a rectangle because :
⇒ The figures has four sides.
⇒ Opposite sides are parallel, congruent and equal.
⇒ And all four angles are 90^∘
⇒ So, option D justify the all properties of rectangle and other options don't then option D is a right option.

By observing the figure it can be clearly said that the following figure have 8 edges.

Only 'D' is closed figure.

Each face of a cube is shaped like a square. The sides of each face are called edges. A cube has 12 edges.

Cube has 6 faces

A sphere is a geometrical object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space.
Examples of sphere include: Ball. Planets. Moon.

Option C. The figure contains exactly three circles.

All other are made up of lines.

The dotted line  divides the figure of option D in  2 equal parts, while the other options are not divided symmetrically
∴ Correct answer is option D.

It has three sides.