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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)

Similar Questions :

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. 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)

3. 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

4. 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

5. 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

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