Question Detail

792.02 + 101.32 - 206.76

676.58
687.58
686.58
586.58

Answer: Option C

1. Which is in ascending order

1/3, 2/5, 3/5, 6/7
2/5, 1/3, 3/5, 6/7
1/3, 2/5, 6/7, 3/5
3/5, 6/7, 1/3, 2/5

Answer: Option A

2. 792.02 + 101.32 - 206.76

676.58
687.58
686.58
586.58

Answer: Option C

3. Correct expression of \begin{aligned}
6.\overline{46}
\end{aligned} is

\begin{aligned} \frac{640}{99} \end{aligned}
\begin{aligned} \frac{640}{90} \end{aligned}
\begin{aligned} \frac{64000}{99} \end{aligned}
\begin{aligned} \frac{640}{9} \end{aligned}

Answer: Option A

Explanation:

\begin{aligned}
6.\overline{46} = 6 + 0.\overline{46}
= 6 + \frac{46}{99}
= 6\frac{46}{99} = \frac{640}{99}
\end{aligned}

4. What will be the value of
\begin{aligned}
25.732^2 - 15.732^2
\end{aligned}

214.64
314.64
414.64
412.64

Answer: Option C

Explanation:

Can be easily solved with following formula
\begin{aligned}
a^2 - b^2 = (a - b)(a + b)
\end{aligned}

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}

113
1.13
11.3
113

Answer: Option C

Explanation:

\begin{aligned}
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
\end{aligned}

\begin{aligned}
= \frac{10.3^3 + 1^3}
{10.3^2 + 1^2 - 10.3 \times 1}
\end{aligned}

\begin{aligned}
= (a+b) = (10.3+1) = 11.3
\end{aligned}

Question Detail

792.02 + 101.32 - 206.76

1. Which is in ascending order

2. 792.02 + 101.32 - 206.76

3. Correct expression of \begin{aligned} 6.\overline{46} \end{aligned} is

4. What will be the value of \begin{aligned} 25.732^2 - 15.732^2 \end{aligned}

5. Evaluate \begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1} \end{aligned}

3. Correct expression of \begin{aligned}
6.\overline{46}
\end{aligned} is

4. What will be the value of
\begin{aligned}
25.732^2 - 15.732^2
\end{aligned}

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}