Question Detail

Evaluate
$\begin{aligned} \sqrt{0.00059049} \end{aligned}$

0.00243
0.0243
0.243
2.43

Answer: Option B

Explanation:

Very obvious tip here is, after squre root the terms after decimal will be half (that is just a trick), works awesome at many questions like this.

1. What is the smallest number by which 3600 be divided to make it a perfect cube.

Answer: Option A

Explanation:

$\begin{aligned} 3600 = 2^3 \times 5^2 \times 3^2 \times 2 \end{aligned}$
To make it a perfect cube it must be divided by
$\begin{aligned} 5^2 \times 3^2 \times 2 = 450 \end{aligned}$

2. Find the value of x
$\begin{aligned} \frac{2707}{\sqrt{x}} = 27.07 \end{aligned}$

1000
10000
10000000
None of above

Answer: Option B

Explanation:

$\begin{aligned} = \frac{2707}{27.07} = \sqrt{x} \end{aligned}$

$\begin{aligned} => \frac{2707 \times 100}{2707} = \sqrt{x} \end{aligned}$

$\begin{aligned} => 100 = \sqrt{x} \end{aligned}$

$\begin{aligned} => x = 100^2 = 10000 \end{aligned}$

3. $\begin{aligned} \sqrt{\frac{32.4}{x}} = 2 \end{aligned}$

Answer: Option B

4. Evaluate
$\begin{aligned} \sqrt{53824} \end{aligned}$

Answer: Option B

5. Evaluate
$\begin{aligned} \sqrt{1\frac{9}{16}} \end{aligned}$

$\begin{aligned} 1\frac{1}{6} \end{aligned}$
$\begin{aligned} 1\frac{1}{5} \end{aligned}$
$\begin{aligned} 1\frac{1}{4} \end{aligned}$
$\begin{aligned} 1\frac{1}{3} \end{aligned}$

Answer: Option C

Explanation:

$\begin{aligned} = \sqrt{\frac{25}{16}} \end{aligned}$

$\begin{aligned} = \frac{\sqrt{25}}{\sqrt{16}} \end{aligned}$

$\begin{aligned} = \frac{5}{4} \end{aligned}$

$\begin{aligned} = 1\frac{1}{4} \end{aligned}$