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)

1. 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

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

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

3. 15.06 * 0.0001 = ?

15060000
0.001506
0.01506
0.1506

Answer: Option B

Explanation:

Clearly after decimal 6 digits should be there.

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

$\begin{aligned} 0.048\overline{01} \end{aligned}$
$\begin{aligned} 4.8\overline{01} \end{aligned}$
$\begin{aligned} 48.\overline{01} \end{aligned}$
$\begin{aligned} 0.48\overline{01} \end{aligned}$

Answer: Option D

Explanation:

$\begin{aligned} (0.34\overline{67} + 0.13\overline{33})\end{aligned}$
$\begin{aligned} = \frac{3467-34}{9900} + \frac{1333-13}{9900} \end{aligned}$
$\begin{aligned} = \frac{3433 + 1320}{9900} = \frac{4753}{9900} \end{aligned}$
$\begin{aligned} = \frac{4801 - 48}{9900} = 0.48\overline{01} \end{aligned}$