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Question (1)

QN009279

Which of the following is an irrational number?

(A) 3/5
(B) 0.75
(C) √2
(D) –7

Correct Answer: C

Explanation:

√2 cannot be written in the form p/q.

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Question (2)

QN009280

An irrational number is a number that:

(A) Can be written as p/q
(B) Has a terminating decimal expansion
(C) Cannot be written as p/q where q ≠ 0
(D) Is always negative

Correct Answer: C

Explanation:

Irrational numbers cannot be expressed as p/q.

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Question (3)

QN009281

Which of the following decimal expansions represents an irrational number?

(A) 0.3333…
(B) 0.121212…
(C) 0.101001000100001…
(D) 0.625

Correct Answer: C

Explanation:

Non-terminating non-repeating decimals are irrational.

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Question (4)

QN009282

Which of the following numbers is rational?

(A) π
(B) √7
(C) √81
(D) √13

Correct Answer: C

Explanation:

√81 = 9, which is rational.

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Question (5)

QN009283

The decimal expansion of an irrational number is:

(A) Terminating
(B) Non-terminating and repeating
(C) Non-terminating and non-repeating
(D) Always finite

Correct Answer: C

Explanation:

Irrational numbers have non-terminating non-repeating decimals.

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Question (6)

QN009284

Which of the following is NOT irrational?

(A) √5
(B) √11
(C) √49
(D) π

Correct Answer: C

Explanation:

√49 = 7, which is rational.

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Question (7)

QN009285

The first known proof of irrationality was given for:

(A) π
(B) √2
(C) √7
(D) √11

Correct Answer: B

Explanation:

√2 was the first number proved irrational.

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Question (8)

QN009286

Which mathematician is associated with the proof of irrationality of √2?

(A) Brahmagupta
(B) Aryabhata
(C) Hippasus
(D) Euclid

Correct Answer: C

Explanation:

Hippasus is credited with the proof.

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Question (9)

QN009287

Evaluate: √144

(A) 10
(B) 11
(C) 12
(D) 14

Correct Answer: C

Explanation:

√144 = 12

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Question (10)

QN009288

Which of the following square roots is irrational?

(A) √64
(B) √100
(C) √121
(D) √18

Correct Answer: D

Explanation:

18 is not a perfect square.

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Question (1)

Which of the following is an irrational number?

Explanation:

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Question (2)

An irrational number is a number that:

Explanation:

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Question (3)

Which of the following decimal expansions represents an irrational number?

Explanation:

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Question (4)

Which of the following numbers is rational?

Explanation:

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Question (5)

The decimal expansion of an irrational number is:

Explanation:

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Question (6)

Which of the following is NOT irrational?

Explanation:

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Question (7)

The first known proof of irrationality was given for:

Explanation:

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Question (8)

Which mathematician is associated with the proof of irrationality of √2?

Explanation:

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Question (9)

Evaluate: √144

Explanation:

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Question (10)

Which of the following square roots is irrational?

Explanation:

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