EWT | Academic Question

Questions
Question (1)
QN0029313
The symbols used to represent numbers in a written number system are called:
  • (A) Digits only
  • (B) Numerals
  • (C) Landmarks
  • (D) Counters

Correct Answer: B
Explanation:

Numerals are the written symbols used to represent numbers in a number system.

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Question (2)
QN0029314
A trader writes the Roman numeral MCDXLV on a box. What Hindu-Arabic numeral does it represent?
  • (A) 1435
  • (B) 1445
  • (C) 1455
  • (D) 1545

Correct Answer: B
Explanation:

M = 1000, CD = 400, XL = 40 and V = 5. Therefore, the value is 1445.

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Question (3)
QN0029315
Which of the following best explains why tally marks become inconvenient for very large numbers?
  • (A) They require different symbols for each number.
  • (B) They require one mark for each object counted.
  • (C) They cannot represent even numbers.
  • (D) They have no order.

Correct Answer: B
Explanation:

Tally marks require one separate mark for every object, making them lengthy for large numbers.

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Question (4)
QN0029316
The Roman numeral CMXLVIII represents:
  • (A) 938
  • (B) 948
  • (C) 958
  • (D) 968

Correct Answer: B
Explanation:

CM = 900, XL = 40 and VIII = 8. Hence, the number is 948.

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Question (5)
QN0029317
Which feature made the Egyptian number system more efficient than simple tally marks?
  • (A) Use of fractions
  • (B) Use of landmark numbers
  • (C) Use of zero
  • (D) Place value

Correct Answer: B
Explanation:

Egyptians used landmark numbers like 1, 10, 100 and 1000 to represent large numbers efficiently.

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Question (6)
QN0029318
In a base-5 number system, the landmark numbers are 1, 5, 25, 125, 625, …. Which landmark number comes next?
  • (A) 1250
  • (B) 2500
  • (C) 3125
  • (D) 6250

Correct Answer: C
Explanation:

Each landmark number is obtained by multiplying the previous one by 5. Thus, 625 × 5 = 3125.

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Question (7)
QN0029319
Which of the following is NOT a characteristic of a positional number system?
  • (A) Position determines value.
  • (B) The same symbol may have different values at different places.
  • (C) Every number requires a new symbol.
  • (D) Place value is used.

Correct Answer: C
Explanation:

A positional number system uses a limited set of symbols repeatedly according to their positions.

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Question (8)
QN0029320
The Roman numeral CDXCVI represents:
  • (A) 494
  • (B) 496
  • (C) 506
  • (D) 596

Correct Answer: B
Explanation:

CD = 400, XC = 90 and VI = 6. Therefore, the value is 496.

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Question (9)
QN0029321
Which civilization independently developed a place value system using a shell symbol for zero?
  • (A) Romans
  • (B) Egyptians
  • (C) Mayans
  • (D) Greeks

Correct Answer: C
Explanation:

The Mayan civilization used a shell-shaped symbol as the placeholder for zero.

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Question (10)
QN0029322
In a base-7 system, the fourth landmark number is:
  • (A) 49
  • (B) 2401
  • (C) 343
  • (D) 729

Correct Answer: C
Explanation:

Landmark numbers are 7⁰ = 1, 7¹ = 7, 7² = 49 and 7³ = 343.

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