Question Detail

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. 34.95 + 240.016 + 23.98 = ?

  • 288.946
  • 298.946
  • 198.946
  • 188.946

Answer: Option B

2. Which is in descending order

  • 11/17, 7/11, 8/15, 5/9
  • 11/17, 5/9, 7/11, 8/15
  • 5/9, 8/15, 11/17, 7/11
  • 11/17, 7/11, 5/9, 8/15

Answer: Option D

3. 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

4. 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}

5. What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6

  • 2/5
  • 3/5
  • 1/6
  • 1/7

Answer: Option C

Explanation:

2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/6 = .833

So biggest is 5/6 and smallest is 2/3

Their difference is 5/6 - 2/3 = 1/6

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