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Simplify
\begin{aligned} 1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{5} \end{aligned}

  • \begin{aligned}10\frac{29}{60} \end{aligned}
  • \begin{aligned}8\frac{29}{60} \end{aligned}
  • \begin{aligned}6\frac{29}{60} \end{aligned}
  • \begin{aligned}4\frac{29}{60} \end{aligned}

Answer: Option A

Explanation:

\begin{aligned} = \frac{7}{4}+\frac{16}{3}+\frac{17}{5} \end{aligned}

\begin{aligned} = \frac{105+320+204}{60}
\end{aligned}
\begin{aligned} = \frac{629}{60}
\end{aligned}
\begin{aligned} = 10\frac{29}{60}
\end{aligned}

Similar Questions :

1. If p - q = 3 and
\begin{aligned} p^2 + q^2 = 29 \end{aligned}, find the value of pq.

  • 7
  • 8
  • 9
  • 10

Answer: Option D

Explanation:

We know
\begin{aligned} 2ab = (a^2 + b^2) - (a - b)^2 \end{aligned}

\begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}

\begin{aligned} =>pq = 10 \end{aligned}

2. Value of
\begin{aligned}
\frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}

\end{aligned}

  • \begin{aligned} \frac{6}{19} \end{aligned}
  • \begin{aligned} \frac{7}{19} \end{aligned}
  • \begin{aligned} \frac{8}{19} \end{aligned}
  • \begin{aligned} \frac{9}{19} \end{aligned}

Answer: Option C

Explanation:

\begin{aligned}
= \frac{1}{2+\frac{1}{2+\frac{1}{\frac{3}{2}}}}
\end{aligned}
\begin{aligned}
= \frac{1}{2+\frac{1}{2+\frac{2}{3}}}
\end{aligned}

\begin{aligned}
= \frac{1}{2+\frac{1}{\frac{8}{3}}}
\end{aligned}

\begin{aligned}
= \frac{1}{2+\frac{3}{8}}
\end{aligned}

\begin{aligned}
= \frac{1}{\frac{19}{8}}
\end{aligned}

\begin{aligned}
= \frac{8}{19}
\end{aligned}

3. If a - b = 3 and \begin{aligned} a^2 + b^2 = 29 \end{aligned}, then find the value of ab

  • 7
  • 8.5
  • 10
  • 12

Answer: Option C

Explanation:

Remember the formula, if not then cram it :)
\begin{aligned} 2ab = (a^2 + b^2)- (a-b)^2 \end{aligned}
=> 2ab = 29 - 9 = 20
=> ab = 10

4. \begin{aligned}
\frac{4+4 \times 18 -6 - 8}{123 \times 6 - 146 \times 5 }
\end{aligned}

  • 7.50
  • 7.75
  • 8
  • 8.05

Answer: Option B

Explanation:

\begin{aligned}
\frac{4+72-6-8}{738-730}
\end{aligned}
\begin{aligned}
= \frac{76-14}{8}
\end{aligned}
\begin{aligned}
= \frac{62}{8} = 7.75
\end{aligned}

5. 18800 / 470 / 20

  • 1
  • 2
  • 3
  • 4

Answer: Option B

Explanation:

18800 / 470 / 20 = (18800 / 470) / 20 = 40 / 20 = 2

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