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\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Chapter assessment

A. Choose the correct option.
1. The square of 4 × 25 is

(a) 100 (b) 10 (c) –10 (d) 50
2
2
2. (2535) – (2534) is equal to
(a) 5069 (b) 8839 (c) 1 (d) 6423690
3. The smallest number, which when added to the difference of the squares of 17 and 13 gives a perfect
square, is
(a) 1 (b) 2 (c) 4 (d) 5
4. Which of the following is not a perfect square?

(a) 196 (b) 625 (c) 1225 (d) 404
1 1
5. + =
16 25
7 7 9 7
(a) (b) (c) (d)
10 12 20 9
B. Assertion and reason Type questions.

In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose
the correct option.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): Between 60 and 70, the perfect square number is 65.
reason (r): A perfect square is a number that can be expressed as the product of an integer by itself.
2. Assertion (A): The number of zeros in the square of the number 9000 is 6.
reason (r): The number of zeros at the end of a square of a number is twice the number of zeros
at the end of the number.
2
2
3. Assertion (A): The number of natural numbers between 6 and 7 are 12.
reason (r): Natural numbers are positive integers that start from 1 and ends at infinity.
2
4. Assertion (A): 7 = 24 + 25
reason (r): The square of an odd number can be expressed as the sum of two consecutive natural
numbers.

C. Fill in the blanks.
1. The square of an even number is always ............... .
2. A number ending in 2, 3, 7 or 8 is never a ............... .

3. 49 + 36 + 16 − 9 = ............... .
4. The sum of the first n odd natural numbers is ............... .

5. The Pythagorean triplet is 2m, ..............., ............... .

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