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Question Detail
Simplify
\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}
- 2
- 2.3
- 2.6
- 5
Answer: Option A
Explanation:
By taking LCM we get
=\begin{aligned} \frac{28+14+7+4+2+1}{28}
= \frac{56}{28} = 2\end{aligned}
1. 3640 ÷ 14*16 + 340 = ?
- 3500
- 4500
- 1500
- 2500
Answer: Option B
2. 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}
3. How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long
- 30
- 40
- 50
- 60
Answer: Option C
Explanation:
We need so simple divide 42.5/0.85,
=(4250/85) = 50
4. In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.
- 8
- 10
- 12
- 14
Answer: Option C
Explanation:
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
5. 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}
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