Question Detail

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
$\begin{aligned} a^2 - b^2 = (a - b)(a + b) \end{aligned}$

1. What will be vulgar fraction of 0.0056

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

Answer: Option C

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

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

3. What decimal of an hour is a second

.0028
.0027
.0026
.0025

Answer: Option B

Explanation:

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

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:

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