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Question (21)

QN0018620

In a base-5 system, how many digits are available?

(A) 4
(B) 5
(C) 6
(D) 10

Correct Answer: B

Explanation:

Digits are 0,1,2,3,4.

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Question (22)

QN0018621

Which digits are allowed in a base-5 system?

(A) 0–4
(B) 1–5
(C) 0–5
(D) 1–4

Correct Answer: A

Explanation:

Digits less than 5 are used.

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Question (23)

QN0018622

Which of the following is NOT a valid base-5 numeral?

(A) 324₅
(B) 401₅
(C) 543₅
(D) 112₅

Correct Answer: C

Explanation:

Digit 5 is not allowed in base 5.

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Question (24)

QN0018623

In a base-8 system, the highest single digit is:

(A) 7
(B) 8
(C) 9
(D) 6

Correct Answer: A

Explanation:

Digits range from 0 to 7.

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Question (25)

QN0018624

Which digits are allowed in an octal (base-8) system?

(A) 0–7
(B) 1–8
(C) 0–8
(D) 0–9

Correct Answer: A

Explanation:

Octal uses digits 0 to 7.

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Question (26)

QN0018625

What is the decimal value of 31₈?

(A) 23
(B) 24
(C) 25
(D) 26

Correct Answer: C

Explanation:

3×8 + 1 = 25.

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Question (27)

QN0018626

Which base-8 numeral represents decimal 16?

(A) 18₈
(B) 20₈
(C) 22₈
(D) 24₈

Correct Answer: B

Explanation:

20₈ = 2×8 = 16.

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Question (28)

QN0018627

What is the value of 100₅ in decimal form?

(A) 20
(B) 25
(C) 50
(D) 100

Correct Answer: B

Explanation:

100₅ = 1×25 = 25.

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Question (29)

QN0018628

Which decimal number is represented by 24₅?

(A) 12
(B) 13
(C) 14
(D) 15

Correct Answer: C

Explanation:

2×5 + 4 = 14.

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Question (30)

QN0018629

What is the decimal value of 132₅?

(A) 37
(B) 38
(C) 42
(D) 47

Correct Answer: C

Explanation:

1×25 + 3×5 + 2 = 42.

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