CBSE Class 7 Maths Chapter 6: Number Play — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 6: Number Play from the NCERT Class 7 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): The parity of an integer tells whether it is even or odd.
Reason (R): Every integer is exactly one of even or odd.
Reason (R): Every integer is exactly one of even or odd.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Divisibility by 2 gives the classification.
2
Assertion (A): The sum of two odd integers is even.
Reason (R): The product of two odd integers is odd.
Reason (R): The product of two odd integers is odd.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the product property does not explain the sum.
3
Assertion (A): The sum of an even and an odd integer is odd.
Reason (R): It is always even.
Reason (R): It is always even.
Answer: (c)
A is true, but R is false. Adding an odd number changes even parity to odd.
4
Assertion (A): The product of an even and any integer is odd.
Reason (R): The product retains a factor of 2.
Reason (R): The product retains a factor of 2.
Answer: (d)
A is false, but R is true. The product is even.
5
Assertion (A): The Virahanka-Fibonacci sequence forms each new term by adding the previous two.
Reason (R): This recurrence creates the sequence after starting values are fixed.
Reason (R): This recurrence creates the sequence after starting values are fixed.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The rule determines every later term.
6
Assertion (A): The sequence 1, 1, 2, 3, 5 follows the Virahanka-Fibonacci rule.
Reason (R): The next term is 8.
Reason (R): The next term is 8.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the next value does not explain all earlier terms.
7
Assertion (A): The term after 5 and 8 in the Virahanka-Fibonacci sequence is 13.
Reason (R): The previous two terms are multiplied.
Reason (R): The previous two terms are multiplied.
Answer: (c)
A is true, but R is false. They are added.
8
Assertion (A): Every term in the Virahanka-Fibonacci sequence is even.
Reason (R): The sequence contains both odd and even terms.
Reason (R): The sequence contains both odd and even terms.
Answer: (d)
A is false, but R is true. Parity varies periodically.
9
Assertion (A): A two-digit number with digits a and b equals 10a + b.
Reason (R): Place value assigns ten times the tens digit plus the units digit.
Reason (R): Place value assigns ten times the tens digit plus the units digit.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The expression follows decimal notation.
10
Assertion (A): Reversing 10a + b gives 10b + a.
Reason (R): Their difference is divisible by 9.
Reason (R): Their difference is divisible by 9.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the difference fact is a consequence rather than the representation.
11
Assertion (A): The sum of a two-digit number and its reversal is always divisible by 11.
Reason (R): It is always divisible by 9.
Reason (R): It is always divisible by 9.
Answer: (c)
A is true, but R is false. The sum is 11(a+b).
12
Assertion (A): The difference of a two-digit number and its reversal is never divisible by 9.
Reason (R): The difference equals 9(a - b).
Reason (R): The difference equals 9(a - b).
Answer: (d)
A is false, but R is true. It is always a multiple of 9.
13
Assertion (A): Grid patterns can be studied using row, column and diagonal sums.
Reason (R): Systematic organisation can reveal invariants not obvious from isolated entries.
Reason (R): Systematic organisation can reveal invariants not obvious from isolated entries.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Repeated totals expose structure.
14
Assertion (A): A counterexample disproves a claim stated for all numbers.
Reason (R): The product of two odd integers is odd.
Reason (R): The product of two odd integers is odd.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the parity fact does not explain the logic of counterexamples.
15
Assertion (A): Testing examples alone does not prove a pattern for every integer.
Reason (R): Five successful examples prove a universal claim.
Reason (R): Five successful examples prove a universal claim.
Answer: (c)
A is true, but R is false. A general argument is still required.
16
Assertion (A): A digit variable can take the value 14 in a decimal numeral.
Reason (R): A single decimal digit must be from 0 to 9.
Reason (R): A single decimal digit must be from 0 to 9.
Answer: (d)
A is false, but R is true. Fourteen requires two digits.
17
Assertion (A): Odd and even patterns can simplify predictions about sums.
Reason (R): Parity rules work without calculating the full numbers.
Reason (R): Parity rules work without calculating the full numbers.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Only remainders modulo 2 matter.
18
Assertion (A): The parity pattern odd, odd, even repeats in parts of the Fibonacci sequence.
Reason (R): Parity can be analysed by reducing the recurrence modulo 2.
Reason (R): Parity can be analysed by reducing the recurrence modulo 2.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the method is broader than one observed cycle.
19
Assertion (A): If a+b is even, a and b can both be odd.
Reason (R): An even sum forces both addends to be even.
Reason (R): An even sum forces both addends to be even.
Answer: (c)
A is true, but R is false. Odd plus odd is also even.
20
Assertion (A): If ab is odd, one of a and b may be even.
Reason (R): A product is odd only when both factors are odd.
Reason (R): A product is odd only when both factors are odd.
Answer: (d)
A is false, but R is true. Any even factor would make the product even.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 6 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 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 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 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Number Play online for free?
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