10 Question MCQ (including Assertion)

Question 1 of 10

Find \(\frac{7}{12}+\frac{5}{8}\).

A \(\frac{12}{20}\) B \(\frac{29}{24}\) C \(\frac{11}{12}\) D \(\frac{35}{96}\)

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Question 2 of 10

Which of the following numbers is irrational?

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

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Question 3 of 10

A rational number exactly halfway between \(1\) and \(\frac{3}{2}\) is

A \(\frac{5}{4}\) B \(\frac{4}{5}\) C \(\frac{3}{4}\) D \(\frac{7}{4}\)

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Question 4 of 10

A rational number in lowest terms has denominator \(2^{3}\times 5\). Which statement is correct?

A Its decimal expansion terminates after exactly 1 decimal place. B Its decimal expansion terminates after exactly 2 decimal places. C Its decimal expansion terminates after exactly 3 decimal places. D Its decimal expansion is non-terminating and repeating.

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Question 5 of 10

A tailor has \(15\frac{3}{4}\) m of silk. Each kurta requires \(2\frac{1}{4}\) m. How many complete kurtas can be made?

A 6 B 7 C 8 D 9

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Question 6 of 10

Without performing long division, determine the nature of the decimal expansion of \(\frac{18}{125}\).

A Non-terminating and non-repeating B Non-terminating and repeating C Terminating after 2 decimal places D Terminating after 3 decimal places

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Question 7 of 10

Six rational numbers are required between 3 and 4. Which method guarantees six distinct rational numbers?

A Write them as \(\frac{3}{1}\) and \(\frac{4}{1}\). B Write them as \(\frac{21}{7}\) and \(\frac{28}{7}\), then choose \(\frac{22}{7},\frac{23}{7},…,\frac{27}{7}\). C Take only the midpoint repeatedly once. D Use the integers 3 and 4 themselves.

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Question 8 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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Question 9 of 10

The Ishango bone, found near the headwaters of the Nile River, contains specific groupings of tallies. Which of the following number sequences appears on it?

A 2, 4, 6, 8 B 11, 13, 17, 19 C 1, 10, 100, 1000 D 3, 6, 9, 12

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Question 10 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.

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10 Question MCQ (including Assertion)