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Question Detail
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}
1. 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
2. Simplify
\begin{aligned}
\frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} } \div 5.25
\end{aligned}
- \begin{aligned} \frac{3}{5} \end{aligned}
- \begin{aligned} \frac{3}{6} \end{aligned}
- \begin{aligned} \frac{3}{7} \end{aligned}
- \begin{aligned} \frac{3}{8} \end{aligned}
Answer: Option C
Explanation:
\begin{aligned}
\frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} }\div 5.25
\end{aligned}
\begin{aligned}
= \frac{\frac{7}{2}\times {\frac{2}{5}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{15}{4}}}\div 5.25
\end{aligned}
\begin{aligned}
= \frac{\frac{21}{10}}
{\frac{7}{2} \times { \frac{4}{15}}}\div {\frac{525}{100}}
\end{aligned}
\begin{aligned}
= \frac{21}{10}\times{\frac{15}{14}}\times\frac{100}{525}
= \frac{6}{14}
= \frac{3}{7}
\end{aligned}
3. 5.8 * 2.5 + 0.6 * 6.75 + 139.25= ?
- 157.60
- 147.80
- 147.60
- 157.80
Answer: Option D
4. What fraction of \begin{aligned} \frac{4}{7}\end{aligned} should be added to itself to become \begin{aligned} 1\frac{1}{14} \end{aligned}
- \begin{aligned} \frac{7}{8} \end{aligned}
- \begin{aligned} \frac{7}{9} \end{aligned}
- \begin{aligned} \frac{7}{10} \end{aligned}
- \begin{aligned} \frac{7}{11} \end{aligned}
Answer: Option A
Explanation:
\begin{aligned}
=> \frac{4}{7}x + \frac{4}{7} = \frac{15}{4}
\end{aligned}
\begin{aligned}
= \frac{4}{7}x = \frac{15}{4} - \frac{4}{7}
\end{aligned}
\begin{aligned}
= \frac{4}{7}x = \frac{7}{14}
\end{aligned}
\begin{aligned}
= x = \frac{1}{2}\times \frac{7}{4} = \frac{7}{8}
\end{aligned}
5. 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
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