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Question (11)
QN0029323
Which statement correctly explains the need for a placeholder symbol?
  • (A) It increases the value of digits.
  • (B) It removes ambiguity in place value notation.
  • (C) It replaces numerals greater than 9.
  • (D) It helps in Roman numerals.

Correct Answer: B
Explanation:

A placeholder such as zero shows that no value exists at a particular place.

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Question (12)
QN0029324
The Roman numeral MMCMXLIV represents:
  • (A) 2934
  • (B) 2944
  • (C) 2954
  • (D) 2964

Correct Answer: B
Explanation:

MM = 2000, CM = 900, XL = 40 and IV = 4. Hence, the number is 2944.

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Question (13)
QN0029325
Which of the following is an advantage of choosing landmark numbers as powers of a base?
  • (A) It eliminates counting.
  • (B) It simplifies arithmetic operations.
  • (C) It removes the need for numerals.
  • (D) It avoids grouping.

Correct Answer: B
Explanation:

Landmark numbers that are powers of a base make arithmetic operations easier.

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Question (14)
QN0029326
Which pair correctly matches the civilization with its number system?
  • (A) Roman – Base 10
  • (B) Egyptian – Base 60
  • (C) Mesopotamian – Base 60
  • (D) Mayan – Base 5

Correct Answer: C
Explanation:

The Mesopotamian (Babylonian) number system used base 60.

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Question (15)
QN0029327
Which additional feature makes the Hindu number system more efficient than earlier systems?
  • (A) Use of tally marks
  • (B) Use of place value with zero
  • (C) Unlimited symbols
  • (D) Counting only by tens

Correct Answer: B
Explanation:

The Hindu number system combines place value with the digit zero for efficient representation and computation.

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Question (16)
QN0029328
Which of the following Roman numerals represents the greatest number?
  • (A) MCCXCIX
  • (B) MCCCIX
  • (C) MCCCLX
  • (D) MCCLXXXVIII

Correct Answer: C
Explanation:

Their values are 1299, 1309, 1360 and 1288 respectively. Hence, MCCCLX is the greatest.

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Question (17)
QN0029329
Which idea finally removed the need to invent infinitely many new symbols for larger numbers?
  • (A) Counting by twos
  • (B) Roman numerals
  • (C) Place value notation
  • (D) Tally marks

Correct Answer: C
Explanation:

Place value notation allows infinitely many numbers to be represented using a fixed set of symbols.

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Question (18)
QN0029330
The present-day system of measuring time (60 minutes in an hour) is based on the influence of which ancient civilization?
  • (A) Egyptian
  • (B) Roman
  • (C) Mesopotamian
  • (D) Chinese

Correct Answer: C
Explanation:

The Mesopotamian base-60 system influenced modern units of time.

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Question (19)
QN0029331
If XLIX is increased by LI, the resulting Roman numeral is:
  • (A) XCIX
  • (B) C
  • (C) CI
  • (D) CV

Correct Answer: B
Explanation:

XLIX = 49 and LI = 51. Their sum is 100, represented by C.

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Question (20)
QN0029332
Which sequence correctly shows the evolution of number representation?
  • (A) Place value → Landmark numbers → Tally marks → Base systems
  • (B) Tally marks → Landmark numbers → Base systems → Place value with zero
  • (C) Roman numerals → Hindu numerals → Tally marks → Zero
  • (D) Chinese numerals → Roman numerals → Egyptian numerals → Tally marks

Correct Answer: B
Explanation:

Number representation evolved from tally marks to landmark numbers, then base systems, and finally place value systems with zero.

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