Question Detail
7500 + (1250 / 50)
- 7500
- 7525
- 7550
- 8000
Answer: Option B
Explanation:
As per BODMAS rule first we will solve the terms in the bracket then other.
= 7500 + (25) = 7525
1. 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}
2. 7500 + (1250 / 50)
- 7500
- 7525
- 7550
- 8000
Answer: Option B
Explanation:
As per BODMAS rule first we will solve the terms in the bracket then other.
= 7500 + (25) = 7525
3. 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}
4. 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}
5. \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}