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Maths A Story of Numbers Class 8 (Ganita Prakash) Assertion and Reason Questions

Assertion Reasoning Quiz · Class 8 · Maths · CBSE

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Chapter 3 Class 8 - A Story of Numbers (Ganita Prakash) | 7 questions | about 6 minutes

Practise A Story of Numbers Class 8 (Ganita Prakash) with Teachoo's Assertion Reasoning Quiz (Class 8 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
Assertion (A): A Mayan numeral constructed vertically with one dot in the top (third) position, a seashell in the middle (second) position, and one dot in the bottom (first) position evaluates to the decimal number \(401\).

Reason (R): Unlike a pure base-20 system, the Mayan number system uses \(360\) (instead of \(400\)) as its third landmark multiplier.
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Question 2 of 7
Assertion (A): When evaluating the raw expression \((1) \times 3600 + (70) \times 60 + 2\) in the Mesopotamian positional system, it must be forcefully regrouped to \((2) \times 3600 + (10) \times 60 + 2\) before it can be written down.

Reason (R): In a proper base-60 place value representation, no power of \(60\) is allowed to occur \(60\) or more times in a single positional slot; the excess must be carried over to the next higher power.
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Question 3 of 7
Assertion (A): In the vertically stacked Mayan number system, the decimal number \(20\) can be written safely and unambiguously as a single dot, with no other symbols drawn below it.

Reason (R): In any place value system, a visible placeholder symbol (such as a zero or seashell) must be placed in empty lower positions to explicitly force preceding symbols into higher positional multipliers.
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Question 4 of 7

Assertion:

The numerals 305 and 35 would remain unambiguously different even if the digit 0 were removed from the Hindu place-value system.


Reason:

In 305, zero records that there are no tens while preserving the hundreds and ones positions.

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Question 5 of 7

Assertion:

The decimal number 25 is written as \((31)_8\) and \((100)_5\).


Reason:

\(25=3\times8+1\) and \(25=1\times5^2+0\times5+0\).

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Question 6 of 7

Assertion:

The displayed positional arrangement represents 3605.


Reason:

The original Mesopotamians always wrote an explicit placeholder in every empty position, including at the end of a numeral.

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Question 7 of 7

Assertion:

In an extension of the Gumulgal system, ukasar-ukasar-urapon plus ukasar gives ukasar-ukasar-ukasar-urapon.


Reason:

Historically, the Gumulgal used the word ras for numbers greater than 6.

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