Teachoo MCQ Test

Assertion Reasoning Quiz

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 648
Question 1 of 7
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Question 1 of 7
Assertion (A): In the Mesopotamian sexagesimal (base-60) system, the decimal number \(72\) is mathematically represented by drawing exactly 72 identical 1-wedge symbols () in a single cluster.

Reason (R): Although the Mesopotamian system is base-60 globally across its positional places, it uses base-10 sub-groupings (1s and 10s) internally within each position to keep the symbol count manageable.
Select one option. Answers are shown after the test.
Question 2 of 7
Assertion (A): When executing the addition algorithm for \(375\) and \(46\) in the modern Hindu number system, evaluating the units (\(5 + 6 = 11\)) forces the user to write \(1\) in the units place and mechanically carry over a \(1\) to the tens place.

Reason (R): Because the Hindu number system operates strictly on a base-10 positional architecture, any accumulation of \(10\) units in one positional slot must instantly be regrouped and shifted as a single unit into the next higher multiplier position.
Select one option. Answers are shown after the test.
Question 3 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.
Question 4 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 5 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.
Select one option. Answers are shown after the test.
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.

Select one option. Answers are shown after the test.
Question 7 of 7
Assertion (A): When writing the decimal number \(22\) in the Chinese rod numeral system, a scribe must place two horizontal rods (Heng) in the tens position, and two vertical rods (Zong) in the units position.

Reason (R): Alternating between vertical (Zong) and horizontal (Heng) orientations for adjacent place values mechanically prevents identical rods from visually merging and creating ambiguity.
Select one option. Answers are shown after the test.