10 Question MCQ (including Assertion)

Question 1 of 10

A rational number has a terminating decimal whose last non-zero digit is in the fourth decimal place. Which form must it have?

A \(\frac{p}{10}\) B \(\frac{p}{10^{2}}\) C \(\frac{p}{10^{3}}\) D \(\frac{p}{10^{4}}\), where \(p\) is not divisible by 10

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Question 2 of 10

Higher-order reasoning
Assertion (A): \(\sqrt{18}\) is irrational.
Reason (R): \(\sqrt{18}=3\sqrt{2}\), and the product of a non-zero rational number with an irrational number is irrational.

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

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Question 3 of 10

Evaluate \(|-\frac{22}{5}|\).

A \(-\frac{22}{5}\) B \(\frac{22}{5}\) C 0 D \(\frac{5}{22}\)

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Question 4 of 10

A digital device stores only terminating decimals. Which fraction can be stored exactly without an endlessly repeating block?

A \(\frac{4}{15}\) B \(\frac{7}{20}\) C \(\frac{5}{21}\) D \(\frac{11}{18}\)

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Question 5 of 10

Which set is represented by \(Z\)?

A Only positive counting numbers B Positive and negative fractions only C Negative integers, zero, and positive integers D Only irrational numbers

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Question 6 of 10

An early herder places one pebble in a pot for every animal that leaves the settlement. In the evening, one pebble is removed for every animal that returns. If 3 pebbles remain, what does this indicate?

A Three extra animals returned. B Three animals are missing. C The herd size increased by three. D No conclusion can be drawn.

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Question 7 of 10

Which statement correctly describes the Lebombo Bone?

A It contains 29 deliberately carved notches and is about 35,000 years old. B It contains the decimal digits from 0 to 9. C It was written by Brahmagupta in 628 CE. D It contains only the prime numbers between 10 and 20.

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Question 8 of 10

Higher-order reasoning
Assertion (A): Every non-terminating decimal is irrational.
Reason (R): Some non-terminating decimals repeat a fixed block and therefore represent rational numbers.

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

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Question 9 of 10

Let \(a\) and \(b\) be non-zero rational numbers such that \(a+\frac{1}{b}=0\). What can be concluded about \(ab\)?

A \(ab\) is positive. B \(ab\) is negative. C \(ab=0\). D No conclusion can be drawn.

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Question 10 of 10

The repeating block \(142857\), obtained from \(\frac{1}{7}\), is cyclic. What is \(142857\times 4\)?

A 428571 B 571428 C 714285 D 857142

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10 Question MCQ (including Assertion)