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All questions of Shapes and Patterns for Class 3 Exam

What is rule of the pattern below?
2, 5, 11, 23, 47.........
  • a)
    Multiply the number by 2 and add 1
  • b)
    Add 3
  • c)
    Multiply by 2
  • d)
    Add 6
Correct answer is option 'A'. Can you explain this answer?

Manoj Yadav answered
Understanding the Pattern
To find the rule in the sequence 2, 5, 11, 23, 47, we need to analyze how each number relates to the next.
Step-by-Step Analysis
- From 2 to 5:
- Operation: Multiply by 2 and add 1
- Calculation: 2 * 2 + 1 = 5
- From 5 to 11:
- Operation: Multiply by 2 and add 1
- Calculation: 5 * 2 + 1 = 11
- From 11 to 23:
- Operation: Multiply by 2 and add 1
- Calculation: 11 * 2 + 1 = 23
- From 23 to 47:
- Operation: Multiply by 2 and add 1
- Calculation: 23 * 2 + 1 = 47
Identifying the Rule
- The consistent operation throughout the sequence is to multiply the previous number by 2 and then add 1.
Conclusion
Thus, the correct answer is option 'A': Multiply the number by 2 and add 1. Each number in the sequence follows this rule, leading to the next number in the pattern.

What comes next in the pattern?
32, 30, 28, 26...........
  • a)
    25
  • b)
    24
  • c)
    22
  • d)
    23
Correct answer is option 'B'. Can you explain this answer?

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

What comes next in the sequence?
ADG, HKN, ORU..........
  • a)
    VYB
  • b)
    VWY
  • c)
    WYZ
  • d)
    WZB
Correct answer is option 'A'. Can you explain this answer?

Anjali Gupta answered
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.

Which figure is different from the rest?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Pranav Singh answered
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.

How many edges does the following figure have?
  • a)
    12
  • b)
    8
  • c)
    6
  • d)
    4
Correct answer is option 'B'. Can you explain this answer?

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

Look at the pairs of shapes. Which shows a pair of rectangle?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Anjali Gupta answered
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.

What comes next in the pattern? 
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?

Pranav Singh answered
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.

Which of the following figure contains exactly three circles?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Yashina Kapoor answered
Option C. The figure contains exactly three circles.
One big circle as face. Two small circles as eyes.

What are the next two terms in the pattern?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

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

What shape are the faces of a cube?
  • a)
    circle
  • b)
    triangle
  • c)
    square 
  • d)
    pentagon
Correct answer is option 'C'. Can you explain this answer?

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

Which of the following is the BEST example of a sphere?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Rhea Reddy answered
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.

What comes next in the pattern?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Pranav Singh answered
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.

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