10 Question MCQ (including Assertion)

Question 1 of 10

Which of the following numbers is irrational?

A \(0.3333…\) B \(0.1234512345…\) C \(1.01001000100001…\) D \(2.47000…\)

Select one option. Answers are shown after the test.

Question 2 of 10

The set of Integers is denoted by the symbol \(Z\). This comes from the German word 'Zahlen', which means:

A Integers B Zeros C Numbers D Debts

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Question 3 of 10

Which statement about \(0.\overset{―}{9}\) is correct?

A It is less than 1 by an infinitely small amount. B It is irrational. C It is exactly equal to 1. D It is equal to \(\frac{9}{10}\).

Select one option. Answers are shown after the test.

Question 4 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.

Select one option. Answers are shown after the test.

Question 5 of 10

The temperature in Ladakh is \(4^{∘}\text{C}\) at noon and falls by \(15^{∘}\text{C}\) by midnight. What is the midnight temperature?

A \(19^{∘}\text{C}\) B \(11^{∘}\text{C}\) C \(-11^{∘}\text{C}\) D \(-19^{∘}\text{C}\)

Select one option. Answers are shown after the test.

Question 6 of 10

If \(\frac{x}{3}+\frac{x}{5}=\frac{16}{15}\), then \(x=\)

A \(\frac{1}{2}\) B 1 C 2 D \(\frac{5}{2}\)

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Question 7 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 \(\frac{11}{18}\)

Select one option. Answers are shown after the test.

Question 8 of 10

Higher-order reasoning
Assertion (A): The decimal expansion of \(\frac{15}{24}\) is non-terminating and repeating.
Reason (R): The denominator \(24\) contains the prime factor \(3\).

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.

Select one option. Answers are shown after the test.

Question 9 of 10

According to Brahmagupta's definition, zero can be obtained as

A \(a+a\) B \(a-a\) C \(a\times a\) D \(a÷a\)

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Question 10 of 10

Higher-order reasoning
Assertion (A): The sum of a rational number and an irrational number is always irrational.
Reason (R): If their sum were rational, subtracting the rational addend would force the irrational addend to be rational.

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.

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)