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All questions of Patterns for Class 5 Exam

What is the sum of 1 + 2 + 1 in the pattern of adding up and down sequences?
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'B'. Can you explain this answer?

Maulik Singh answered
Understanding the Sequence
To solve the expression 1 + 2 + 1, we need to recognize the pattern in the sequence of numbers provided. The numbers are arranged in a manner that resembles an up-and-down pattern.
Breaking Down the Pattern
- The first number is 1.
- The second number increases to 2 (up).
- The third number decreases back to 1 (down).
Calculating the Sum
Now, let's add these numbers together:
- Start with 1.
- Add 2:
- 1 + 2 = 3.
- Finally, add the last 1:
- 3 + 1 = 4.
So, the total sum of 1 + 2 + 1 is 4.
Conclusion
The correct answer is option 'B', which is 4. This showcases how understanding patterns in sequences can help simplify calculations and identify the right answers easily.

What is the next number in the triangular number sequence: 1, 3, 6, 10, ___?
  • a)
    13
  • b)
    14
  • c)
    15
  • d)
    16
Correct answer is option 'C'. Can you explain this answer?

Triangular numbers are formed by adding consecutive numbers. After 10, the next triangular number is 10 + 5 = 15.

What is the branch of mathematics that studies number patterns called?
  • a)
    Geometry
  • b)
    Algebra
  • c)
    Number Theory
  • d)
    Calculus
Correct answer is option 'C'. Can you explain this answer?

Rahul Kumar answered
Number theory is the branch of mathematics that studies patterns and properties of numbers, including number sequences like counting numbers, odd numbers, and triangular numbers.

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