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.

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.

Discuss in Forum

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.

Discuss in Forum

Loading…

Topics

Other Subjects

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