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Question Detail
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}
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} 2^5 \times 9^2 \end{aligned} has been written as 2596, what is the difference between actual value.
- 1
- 2
- 3
- 4
Answer: Option D
3. 5.8 * 2.5 + 0.6 * 6.75 + 139.25= ?
- 157.60
- 147.80
- 147.60
- 157.80
Answer: Option D
4. 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}
5. 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
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