Question Detail

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33}) = ?
\end{aligned}

\begin{aligned} 0.048\overline{01} \end{aligned}
\begin{aligned} 4.8\overline{01} \end{aligned}
\begin{aligned} 48.\overline{01} \end{aligned}
\begin{aligned} 0.48\overline{01} \end{aligned}

Answer: Option D

Explanation:

\begin{aligned}
(0.34\overline{67} + 0.13\overline{33})\end{aligned}
\begin{aligned} =
\frac{3467-34}{9900} + \frac{1333-13}{9900}
\end{aligned}
\begin{aligned}
= \frac{3433 + 1320}{9900}
= \frac{4753}{9900}
\end{aligned}
\begin{aligned}
= \frac{4801 - 48}{9900}
= 0.48\overline{01}
\end{aligned}

1. 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}

2. 0.5 * 0.002 = ?

0.0001
0.01
0.1
0.001

Answer: Option D

3. 0.7683 + 0.369 + 0.05 + 0.8 = ?

1.9873
0.9873
1.8873
1.9872

Answer: Option A

4. 15.06 * 0.0001 = ?

15060000
0.001506
0.01506
0.1506

Answer: Option B

Explanation:

Clearly after decimal 6 digits should be there.

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}