CBSE Class 6 Maths Chapter 3: Number Play — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 3: Number Play from the NCERT Class 6 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): A palindrome reads the same from left to right and right to left.
Reason (R): Its digit sequence is symmetric under reversal.
Reason (R): Its digit sequence is symmetric under reversal.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Reversal symmetry defines a palindrome.
2
Assertion (A): A palindrome reads the same from left to right and right to left.
Reason (R): The number 12321 has five digits.
Reason (R): The number 12321 has five digits.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): A palindrome reads the same from left to right and right to left.
Reason (R): Every palindrome must have an even number of digits.
Reason (R): Every palindrome must have an even number of digits.
Answer: (c)
A is true, but R is false. Palindromes may have odd digit counts.
4
Assertion (A): The number 1234 is a palindrome.
Reason (R): Its digit sequence is symmetric under reversal.
Reason (R): Its digit sequence is symmetric under reversal.
Answer: (d)
A is false, but R is true. 1234 reverses to 4321.
5
Assertion (A): The Kaprekar routine repeatedly rearranges digits and subtracts the smaller number from the larger.
Reason (R): The same deterministic operation is applied at each step.
Reason (R): The same deterministic operation is applied at each step.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Repeated application explains the generated chain.
6
Assertion (A): The Kaprekar routine repeatedly rearranges digits and subtracts the smaller number from the larger.
Reason (R): Estimation gives an approximate value.
Reason (R): Estimation gives an approximate value.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): The Kaprekar routine repeatedly rearranges digits and subtracts the smaller number from the larger.
Reason (R): The two rearranged numbers are added.
Reason (R): The two rearranged numbers are added.
Answer: (c)
A is true, but R is false. The routine uses subtraction, not addition.
8
Assertion (A): The routine never uses the digits of the current number.
Reason (R): The same deterministic operation is applied at each step.
Reason (R): The same deterministic operation is applied at each step.
Answer: (d)
A is false, but R is true. Its steps are entirely based on the current digits.
9
Assertion (A): Rounding can provide a quick estimate of a sum.
Reason (R): Nearby convenient numbers are easier to add mentally.
Reason (R): Nearby convenient numbers are easier to add mentally.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Convenient approximations enable mental calculation.
10
Assertion (A): Rounding can provide a quick estimate of a sum.
Reason (R): A calendar organises days into weeks and months.
Reason (R): A calendar organises days into weeks and months.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): Rounding can provide a quick estimate of a sum.
Reason (R): An estimate must always equal the exact answer.
Reason (R): An estimate must always equal the exact answer.
Answer: (c)
A is true, but R is false. Estimates may differ slightly from exact values.
12
Assertion (A): Rounding makes every calculation exact.
Reason (R): Nearby convenient numbers are easier to add mentally.
Reason (R): Nearby convenient numbers are easier to add mentally.
Answer: (d)
A is false, but R is true. Rounding is approximate, not automatically exact.
13
Assertion (A): Patterns on a number line can be produced by equal jumps.
Reason (R): A fixed jump corresponds to repeatedly adding the same number.
Reason (R): A fixed jump corresponds to repeatedly adding the same number.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Repeated addition creates an arithmetic pattern.
14
Assertion (A): Patterns on a number line can be produced by equal jumps.
Reason (R): Clock arithmetic repeats after a fixed cycle.
Reason (R): Clock arithmetic repeats after a fixed cycle.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): Patterns on a number line can be produced by equal jumps.
Reason (R): Equal jumps produce random unrelated endpoints.
Reason (R): Equal jumps produce random unrelated endpoints.
Answer: (c)
A is true, but R is false. The endpoints follow a regular rule.
16
Assertion (A): A jump of 5 always lands on an odd number.
Reason (R): A fixed jump corresponds to repeatedly adding the same number.
Reason (R): A fixed jump corresponds to repeatedly adding the same number.
Answer: (d)
A is false, but R is true. Parity depends on the starting point and number of jumps.
17
Assertion (A): The Collatz rule is a conjectural pattern rather than a proved theorem for all positive integers.
Reason (R): Extensive testing is not the same as a proof for infinitely many cases.
Reason (R): Extensive testing is not the same as a proof for infinitely many cases.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The gap between evidence and proof explains its status.
18
Assertion (A): The Collatz rule is a conjectural pattern rather than a proved theorem for all positive integers.
Reason (R): Winning strategies can be analysed mathematically.
Reason (R): Winning strategies can be analysed mathematically.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): The Collatz rule is a conjectural pattern rather than a proved theorem for all positive integers.
Reason (R): Checking many examples proves the conjecture completely.
Reason (R): Checking many examples proves the conjecture completely.
Answer: (c)
A is true, but R is false. Finite testing cannot prove an infinite universal claim.
20
Assertion (A): The Collatz claim has already been proved for every integer.
Reason (R): Extensive testing is not the same as a proof for infinitely many cases.
Reason (R): Extensive testing is not the same as a proof for infinitely many cases.
Answer: (d)
A is false, but R is true. The problem remains unproved in the chapter's discussion.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 3 Number Play?
This chapter covers all key topics from Number Play as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Number Play online for free?
Yes, complete Assertion & Reason for Number Play is available free at eBookPublisher. Study online directly — no download needed.
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