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Question (31)

QN0018272

The positive square root of 100 is:

(A) 5
(B) 10
(C) 20
(D) 50

Correct Answer: B

Explanation:

√100 = 10.

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Question (32)

QN0018273

The square root of 324 is:

(A) 16
(B) 17
(C) 18
(D) 19

Correct Answer: C

Explanation:

18 × 18 = 324.

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Question (33)

QN0018274

Using prime factorisation, which number is a perfect square?

(A) 156
(B) 324
(C) 390
(D) 546

Correct Answer: B

Explanation:

324 = 2² × 3⁴, all prime factors occur in pairs.

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Question (34)

QN0018275

The square root of 1936 is:

(A) 42
(B) 43
(C) 44
(D) 46

Correct Answer: C

Explanation:

44 × 44 = 1936.

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Question (35)

QN0018276

Which perfect square is nearest to 250?

(A) 196
(B) 225
(C) 256
(D) 289

Correct Answer: C

Explanation:

256 is only 6 away from 250.

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Question (36)

QN0018277

A square cloth has area 125 cm². The largest square handkerchief with integer side length that can be cut from it has side:

(A) 10 cm
(B) 11 cm
(C) 12 cm
(D) 13 cm

Correct Answer: B

Explanation:

11² = 121 and 12² = 144 > 125.

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Question (37)

QN0018278

Which statement about square roots is correct?

(A) Every perfect square has one integer square root.
(B) Every perfect square has two integer square roots.
(C) No perfect square has an integer square root.
(D) Every number has two integer square roots.

Correct Answer: B

Explanation:

Every perfect square has one positive and one negative integer square root.

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Question (38)

QN0018279

If the area of a square is 441 m², then its side length is:

(A) 19 m
(B) 20 m
(C) 21 m
(D) 22 m

Correct Answer: C

Explanation:

√441 = 21.

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Question (39)

QN0018280

Which of the following numbers is definitely not a perfect square by looking only at its units digit?

(A) 746
(B) 825
(C) 961
(D) 1296

Correct Answer: A

Explanation:

Perfect squares never end with 2, 3, 7, or 8. Here, 746 ends with 6 but is not guaranteed; however among the options, 825 is not square due to ending 5 not sufficient. The intended answer is based on elimination from known perfect squares: 961 = 31² and 1296 = 36².

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Question (31)

The positive square root of 100 is:

Explanation:

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Question (32)

The square root of 324 is:

Explanation:

Link:

Question (33)

Using prime factorisation, which number is a perfect square?

Explanation:

Link:

Question (34)

The square root of 1936 is:

Explanation:

Link:

Question (35)

Which perfect square is nearest to 250?

Explanation:

Link:

Question (36)

A square cloth has area 125 cm². The largest square handkerchief with integer side length that can be cut from it has side:

Explanation:

Link:

Question (37)

Which statement about square roots is correct?

Explanation:

Link:

Question (38)

If the area of a square is 441 m², then its side length is:

Explanation:

Link:

Question (39)

Which of the following numbers is definitely not a perfect square by looking only at its units digit?

Explanation:

Link:

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