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

  • 2
  • 3
  • 4
  • 5

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

Similar Questions :

1. What will be vulgar fraction of 0.0056

  • 7/1150
  • 7/1175
  • 7/1250
  • 7/1275

Answer: Option C

2. Evaluate
6202.5 + 620.25 + 62.025 + 6.2025 + .62025

  • 6791.59775
  • 6891.59775
  • 6891.59675
  • 5891.59775

Answer: Option B

Explanation:

Just we need to take care to put decimal under decimal, rest add in a simple way

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. Arrange the fractions in ascending order

  • 5/8 < 7/12 < 3/4< 13/16
  • 5/8 < 7/12 < 13/16 < 3/4
  • 5/8 < 3/4< 13/16 < 7/12
  • 7/12 < 5/8 < 3/4< 13/16

Answer: Option D

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4< 13/16

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}

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