Question Detail

792.02 + 101.32 - 206.76

676.58
687.58
686.58
586.58

Answer: Option C

1. If 144/0.144 = 14.4/x, then x = ?

0.144
0.0144
.00144
1.44

Answer: Option B

2. 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}

3. \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}

4. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

\begin{aligned} 3\frac{14}{99} \end{aligned}
\begin{aligned} \frac{14}{99} \end{aligned}
\begin{aligned} 3\frac{14}{90} \end{aligned}
\begin{aligned} 3\frac{1400}{99} \end{aligned}

Answer: Option A

Explanation:

when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

5. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

Answer: Option C

Explanation:

Use following formula to solve it quickly
\begin{aligned}
\frac{a^2-b^2}{a-b}=\frac{(a+b)(a-b)}{(a-b)} = (a+b)
\end{aligned}
= (2.39+1.61) = 4

Question Detail

792.02 + 101.32 - 206.76

1. If 144/0.144 = 14.4/x, then x = ?

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

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

4. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

5. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}

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Question Detail

792.02 + 101.32 - 206.76

1. If 144/0.144 = 14.4/x, then x = ?

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

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

4. Evaluate \begin{aligned} 3.\overline{14} \end{aligned}

5. Evaluate \begin{aligned} \frac{2.39^2 - 1.61^2}{2.39 - 1.61} \end{aligned}

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

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

4. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

5. Evaluate
\begin{aligned}
\frac{2.39^2 - 1.61^2}{2.39 - 1.61}
\end{aligned}