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Assertion Reasoning Quiz

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 672
Question 1 of 7
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Question 1 of 7
Assertion (A): If the Chinese rod numeral for \(61\) was written strictly with vertical rods in both positions (6 vertical next to 1 vertical) without any horizontal alternation, it could easily be misread mathematically as the number \(7\).

Reason (R): The Chinese rod numeral system initially relied on a blank physical space, rather than a dedicated drawn symbol, to represent a zero in a skipped place value.
Select one option. Answers are shown after the test.
Question 2 of 7
Assertion (A): The Hindu-Arabic numeral \(2999\) is correctly translated into the Roman numeral system as \(MMCMXCIX\).

Reason (R): The Roman numeral system uses strict mathematical place value to dynamically determine the varying multiplier of each symbol like C, X, and I based on its location in a sequence.
Select one option. Answers are shown after the test.
Question 3 of 7
Exact Egyptian landmark symbols from the textbook

Assertion:

Using the Egyptian symbols above, seven \(10^4\)-symbols, seven \(10^2\)-symbols and seven unit symbols represent 70707.


Reason:

After complete regrouping in the Egyptian system, no landmark symbol needs to occur 10 or more times.

Select one option. Answers are shown after the test.
Question 4 of 7
Exact Zong and Heng rod numeral chart from the textbook

Assertion:

If 41 were written using only Zong rods without clear spacing, its numeral could be misread.


Reason:

The Chinese rod-numeral system is a decimal system.

Select one option. Answers are shown after the test.
Question 5 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.
Select one option. Answers are shown after the test.
Question 6 of 7

Assertion:

On the decimal abacus described in the chapter, combining 2907 and 43 gives 2950.


Reason:

The 7 ones and 3 ones are exchanged for one ten, after which the tens place contains five tens.

Select one option. Answers are shown after the test.
Question 7 of 7
Assertion (A): In a hypothetical base-5 positional number system using Hindu-Arabic digits, the decimal number \(25\) is written precisely as \(100_5\).

Reason (R): The landmark numbers representing the positional values in a base-5 system follow the sequence \(5^0, 5^1, 5^2\) (i.e., \(1, 5, 25\)).
Select one option. Answers are shown after the test.