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Question (21)

QN009299

The proof that π is irrational was given by:

(A) Hippasus
(B) Brahmagupta
(C) Johann Lambert
(D) Euclid

Correct Answer: C

Explanation:

Johann Lambert proved π is irrational.

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Question (22)

QN009300

Which of the following numbers is irrational?

(A) 0.4
(B) 5/8
(C) √32
(D) 9/11

Correct Answer: C

Explanation:

√32 = 4√2, which is irrational.

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Question (23)

QN009301

Evaluate: √225

(A) 13
(B) 14
(C) 15
(D) 16

Correct Answer: C

Explanation:

√225 = 15

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Question (24)

QN009302

Which decimal is irrational?

(A) 0.9999…
(B) 0.252525…
(C) 0.70700700070000…
(D) 0.125

Correct Answer: C

Explanation:

It is non-terminating and non-repeating.

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Question (25)

QN009303

Which of the following is rational?

(A) √0.25
(B) √6
(C) π
(D) √15

Correct Answer: A

Explanation:

√0.25 = 0.5

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Question (26)

QN009304

Which irrational number is approximately equal to 1.732?

(A) √2
(B) √3
(C) √5
(D) √7

Correct Answer: B

Explanation:

√3 ≈ 1.732

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Question (27)

QN009305

Which of the following square roots is a rational number?

(A) √40
(B) √90
(C) √169
(D) √45

Correct Answer: C

Explanation:

√169 = 13

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Question (28)

QN009306

Which of the following statements is false?

(A) Every irrational number is non-terminating.
(B) Every irrational number is non-repeating.
(C) Every non-terminating decimal is irrational.
(D) Irrational numbers cannot be expressed as fractions.

Correct Answer: C

Explanation:

Some non-terminating decimals are repeating and rational.

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Question (29)

QN009307

Find the irrational number between 7 and 8.

(A) √45
(B) √50
(C) √60
(D) √81

Correct Answer: C

Explanation:

√60 ≈ 7.74

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Question (30)

QN009308

Which of the following is NOT a perfect square?

(A) 121
(B) 169
(C) 225
(D) 250

Correct Answer: D

Explanation:

250 is not a perfect square.

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Question (21)

The proof that π is irrational was given by:

Explanation:

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Question (22)

Which of the following numbers is irrational?

Explanation:

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Question (23)

Evaluate: √225

Explanation:

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Question (24)

Which decimal is irrational?

Explanation:

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Question (25)

Which of the following is rational?

Explanation:

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Question (26)

Which irrational number is approximately equal to 1.732?

Explanation:

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Question (27)

Which of the following square roots is a rational number?

Explanation:

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Question (28)

Which of the following statements is false?

Explanation:

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Question (29)

Find the irrational number between 7 and 8.

Explanation:

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Question (30)

Which of the following is NOT a perfect square?

Explanation:

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