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Value of
\begin{aligned}
0.5\overline{6}
\end{aligned}

  • \begin{aligned} \frac{51}{99} \end{aligned}
  • \begin{aligned} \frac{51}{90} \end{aligned}
  • \begin{aligned} \frac{51}{9} \end{aligned}
  • \begin{aligned} \frac{510}{99} \end{aligned}

Answer: Option B

Explanation:

\begin{aligned}
0.5\overline{6} = \frac {56 - 5}{90} = \frac {51}{90}
\end{aligned}

Similar Questions :

1. What decimal of an hour is a second

  • .0028
  • .0027
  • .0026
  • .0025

Answer: Option B

Explanation:

1/(60*60) = 1/3600 = .0027

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. Which is smallest

  • 13/16
  • 15/19
  • 17/21
  • 7/8

Answer: Option B

4. Arrange fractions in descending order

  • 9/11 > 8/9 > 3/5 > 4/7
  • 9/11 > 8/9 > 4/7 > 3/5
  • 8/9 > 9/11 > 3/5 > 4/7
  • 9/11 >3/5 > 8/9 > 4/7

Answer: Option C

Explanation:

9/11 = .818 , 8/9 = .88 , 3/5 = .6, 4/7 = .571

So order is 8/9 > 9/11 > 3/5 > 4/7

5. 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)

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