CBSE Class 7 Maths Chapter 12: Another Peek Beyond the Point — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 12: Another Peek Beyond the Point 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): Multiplying a decimal by 10 shifts its decimal point one place right.
Reason (R): Every digit's place value becomes ten times as large.
Reason (R): Every digit's place value becomes ten times as large.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. This produces the shift.
2
Assertion (A): Multiplying by 100 shifts two places right.
Reason (R): Dividing by 10 shifts one place left.
Reason (R): Dividing by 10 shifts one place left.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but division does not explain the two-place multiplication.
3
Assertion (A): Ignoring the decimal first gives 25 x 4 = 100.
Reason (R): The product 2.5 x 4 is 1.0.
Reason (R): The product 2.5 x 4 is 1.0.
Answer: (c)
A is true, but R is false. The correct placement gives 10.0.
4
Assertion (A): The product 0.3 x 0.2 is 0.6.
Reason (R): The product has two decimal places and equals 0.06.
Reason (R): The product has two decimal places and equals 0.06.
Answer: (d)
A is false, but R is true. Three tenths of two tenths is six hundredths.
5
Assertion (A): The decimal places in a product equal the total decimal places in the factors.
Reason (R): Whole-number multiplication is followed by correct place placement.
Reason (R): Whole-number multiplication is followed by correct place placement.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The scaling factors of ten determine the count.
6
Assertion (A): The product 1.2 x 0.5 is 0.6.
Reason (R): The product 0.4 x 0.4 is 0.16.
Reason (R): The product 0.4 x 0.4 is 0.16.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second does not explain the first.
7
Assertion (A): Multiplication by one tenth divides its magnitude by 10.
Reason (R): Multiplying a positive number by 0.1 makes it ten times larger.
Reason (R): Multiplying a positive number by 0.1 makes it ten times larger.
Answer: (c)
A is true, but R is false. It becomes smaller.
8
Assertion (A): The product of two positive decimals below 1 is greater than both.
Reason (R): Multiplication by a positive number below 1 reduces magnitude.
Reason (R): Multiplication by a positive number below 1 reduces magnitude.
Answer: (d)
A is false, but R is true. The product is smaller.
9
Assertion (A): Dividing a decimal by a whole number can be performed using place value.
Reason (R): The quotient distributes the amount into equal groups.
Reason (R): The quotient distributes the amount into equal groups.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Each place is divided with regrouping as needed.
10
Assertion (A): The quotient 4.8 divided by 2 is 2.4.
Reason (R): The quotient 3.9 divided by 100 is 0.039.
Reason (R): The quotient 3.9 divided by 100 is 0.039.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the power-of-ten division does not explain the first.
11
Assertion (A): Multiplying both dividend and divisor by 10 gives 56 divided by 7.
Reason (R): The quotient 5.6 divided by 0.7 is 0.8.
Reason (R): The quotient 5.6 divided by 0.7 is 0.8.
Answer: (c)
A is true, but R is false. The quotient is 8.
12
Assertion (A): Dividing by 0.1 makes a positive number ten times smaller.
Reason (R): Dividing by one tenth is multiplying by 10.
Reason (R): Dividing by one tenth is multiplying by 10.
Answer: (d)
A is false, but R is true. It becomes ten times larger.
13
Assertion (A): Multiplying dividend and divisor by the same nonzero power of 10 preserves a quotient.
Reason (R): It can turn a decimal divisor into a whole number.
Reason (R): It can turn a decimal divisor into a whole number.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Both quantities scale equally.
14
Assertion (A): The quotient 4.68 divided by 0.13 equals 36.
Reason (R): The product 0.25 x 8 equals 2.
Reason (R): The product 0.25 x 8 equals 2.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the product does not explain the quotient.
15
Assertion (A): The equivalent whole-number division is 24 divided by 6.
Reason (R): The value 2.4 divided by 0.6 is 0.4.
Reason (R): The value 2.4 divided by 0.6 is 0.4.
Answer: (c)
A is true, but R is false. The quotient is 4.
16
Assertion (A): A decimal quotient can never exceed the dividend.
Reason (R): Dividing by a positive decimal below 1 can increase the value.
Reason (R): Dividing by a positive decimal below 1 can increase the value.
Answer: (d)
A is false, but R is true. For example, 1 divided by 0.5 is 2.
17
Assertion (A): Estimating before decimal calculation helps detect misplaced decimal points.
Reason (R): An exact answer should have a reasonable magnitude near the estimate.
Reason (R): An exact answer should have a reasonable magnitude near the estimate.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. A factor-of-ten error then becomes visible.
18
Assertion (A): The decimals 2.250 and 2.25 are equal.
Reason (R): Trailing zeros after the decimal do not change value.
Reason (R): Trailing zeros after the decimal do not change value.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the general rule is more a property than a separate numerical explanation.
19
Assertion (A): Multiplying by a number greater than 1 increases a positive number.
Reason (R): The product 3.2 x 1.5 must be less than 3.2.
Reason (R): The product 3.2 x 1.5 must be less than 3.2.
Answer: (c)
A is true, but R is false. The product is 4.8.
20
Assertion (A): Division by zero is allowed for decimals.
Reason (R): No finite number multiplied by zero can recover a nonzero dividend.
Reason (R): No finite number multiplied by zero can recover a nonzero dividend.
Answer: (d)
A is false, but R is true. Division by zero is undefined.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 12 Another Peek Beyond the Point?
This chapter covers all key topics from Another Peek Beyond the Point 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.
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