Arithmetic Operations Questions and Answers

Q: In the equation, H3 − H2 + 81 − 62 − 44 − H9 = −103 which digit does the symbol H stand for?

H stands for 7.H3, H2 and H9 are two-digit numbers with tens digit H, so they are \(10H + 3\), \(10H + 2\) and \(10H + 9\).\[ \begin{aligned} (10H + 3) - (10H + 2) + 81 - 62 \\ - 44 - (10H + 9) &= -103 \\ -33 - 10H &= -103 \Rightarrow H = 7 \end{aligned} \]Check: \(73 - 72 + 81 - 62 - 44 - 79 = -103\). With H = 4, 5 or 9 the left side is −73, −83 or −123.

Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of this cloth ?

He can make 300 pieces.Each metre of cloth gives 8 pieces, so the number of pieces is\[ 37.5 \times 8 = 300 \]The other options would need different amounts of cloth: 360 pieces need 45 m, 400 pieces need 50 m and 450 pieces need 56.25 m.

Q: Arrange in ascending order 3/4, 5/6, 2/3, 7/8.

The ascending order is 2/3, 3/4, 5/6, 7/8.Convert to a common denominator, 24:\[ \begin{aligned} \frac{2}{3} &= \frac{16}{24},\ \frac{3}{4} = \frac{18}{24} \\ \frac{5}{6} &= \frac{20}{24},\ \frac{7}{8} = \frac{21}{24} \end{aligned} \]Shortcut: each fraction is 1 minus a unit fraction (\(1 - \frac{1}{3}\), \(1 - \frac{1}{4}\), and so on), and the bigger the denominator, the smaller the gap from 1. The other options misplace 3/4 or 5/6, putting a larger fraction before a smaller one.

Q: Which is the correct order to show units from largest to smallest ?

The correct order is Litre, decilitre, millilitre.A decilitre is one tenth of a litre, and a millilitre is one thousandth of a litre, so from largest to smallest the units run litre (1 L), decilitre (0.1 L), millilitre (0.001 L).The other orders put the millilitre above the decilitre or the litre below one of them, which reverses the prefixes deci (one tenth) and milli (one thousandth).The prefix deci- means one tenth and milli- one thousandth, so 1 litre = 10 decilitres = 1000 millilitres.

Important Instructions

141.

In the equation, H3 − H2 + 81 − 62 − 44 − H9 = −103 which digit does the symbol H stand for?

Exam Year(s)

Haryana Civil Services - 2026, HPSC - 2026,

Answer: B

H stands for 7.

H3, H2 and H9 are two-digit numbers with tens digit H, so they are \(10H + 3\), \(10H + 2\) and \(10H + 9\).

\[ \begin{aligned} (10H + 3) - (10H + 2) + 81 - 62 \\ - 44 - (10H + 9) &= -103 \\ -33 - 10H &= -103 \Rightarrow H = 7 \end{aligned} \]

Check: \(73 - 72 + 81 - 62 - 44 - 79 = -103\). With H = 4, 5 or 9 the left side is −73, −83 or −123.

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142.

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of this cloth ?

A.300
B.360
C.400
D.450

Exam Year(s)

MPPSC State Service - 2022, MPPSC Forest Service - 2022,

Answer: A

He can make 300 pieces.

Each metre of cloth gives 8 pieces, so the number of pieces is

\[ 37.5 \times 8 = 300 \]

The other options would need different amounts of cloth: 360 pieces need 45 m, 400 pieces need 50 m and 450 pieces need 56.25 m.

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143.

Arrange in ascending order 3/4, 5/6, 2/3, 7/8.

A.2/3, 3/4, 5/6, 7/8
B.3/4, 2/3, 5/6, 7/8
C.2/3, 5/6, 3/4, 7/8
D.3/4, 5/6, 2/3, 7/8

Exam Year(s)

Tripura Public Service Commission - 2026,

Answer: A

The ascending order is 2/3, 3/4, 5/6, 7/8.

Convert to a common denominator, 24:

\[ \begin{aligned} \frac{2}{3} &= \frac{16}{24},\ \frac{3}{4} = \frac{18}{24} \\ \frac{5}{6} &= \frac{20}{24},\ \frac{7}{8} = \frac{21}{24} \end{aligned} \]

Shortcut: each fraction is 1 minus a unit fraction (\(1 - \frac{1}{3}\), \(1 - \frac{1}{4}\), and so on), and the bigger the denominator, the smaller the gap from 1. The other options misplace 3/4 or 5/6, putting a larger fraction before a smaller one.

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144.

Which is the correct order to show units from largest to smallest ?

A.Millilitres, decilitre, litre
B.Litre, decilitre, millilitre
C.Decilitre, millilitre, litre
D.Litre, millilitre, decilitre

Exam Year(s)

Tripura Public Service Commission - 2019,

Answer: B

The correct order is Litre, decilitre, millilitre.

A decilitre is one tenth of a litre, and a millilitre is one thousandth of a litre, so from largest to smallest the units run litre (1 L), decilitre (0.1 L), millilitre (0.001 L).

The other orders put the millilitre above the decilitre or the litre below one of them, which reverses the prefixes deci (one tenth) and milli (one thousandth).

The prefix deci- means one tenth and milli- one thousandth, so 1 litre = 10 decilitres = 1000 millilitres.

Discuss in Forum

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Tags: Arithmetic Operations Questions and Answers || Arithmetic Operations MCQs || Basic Arithmetic Quantitative Aptitude || Arithmetic Problems GK || Quantitative Aptitude Arithmetic

Arithmetic Operations Questions and Answers

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Topics

Other Subjects

Tags: Arithmetic Operations Questions and Answers || Arithmetic Operations MCQs || Basic Arithmetic Quantitative Aptitude || Arithmetic Problems GK || Quantitative Aptitude Arithmetic

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