Question Detail

The least perfect square, which is divisible by each of 21, 36 and 66 is

213414
213424
213434
213444

Answer: Option D

Explanation:

L.C.M. of 21, 36, 66 = 2772

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444

1. The cube root of .000216 is

0.6
0.006
0.06
.0006

Answer: Option C

2. What is the square root of 0.16

0.4
0.04
0.004
4

Answer: Option A

Explanation:

as .4 * .4 = 0.16

3. Evaluate \begin{aligned}
\sqrt{1471369}
\end{aligned}

1213
1223
1233
1243

Answer: Option A

4. if a = 0.1039, then the value of
\begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}

12.039
1.2039
11.039
1.1039

Answer: Option D

Explanation:

Tip: Please check the question carefully before answering. As 3a is not under the root we can convert it into a formula , lets evaluate now :

\begin{aligned}
= \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}

\begin{aligned}
= \sqrt{(1)^2 + (2a)^2 - 2x1x2a} + 3a \end{aligned}

\begin{aligned}
= \sqrt{(1-2a)^2} + 3a \end{aligned}

\begin{aligned}
= (1-2a) + 3a \end{aligned}

\begin{aligned}
= (1-2a) + 3a \end{aligned}

\begin{aligned}
= 1 + a = 1 + 0.1039 = 1.1039 \end{aligned}

5. 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.

Question Detail

The least perfect square, which is divisible by each of 21, 36 and 66 is

1. The cube root of .000216 is

2. What is the square root of 0.16

3. Evaluate \begin{aligned} \sqrt{1471369} \end{aligned}

4. if a = 0.1039, then the value of \begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}

5. Evaluate \begin{aligned} \sqrt{0.00059049} \end{aligned}

3. Evaluate \begin{aligned}
\sqrt{1471369}
\end{aligned}

4. if a = 0.1039, then the value of
\begin{aligned} \sqrt{4a^2 - 4a + 1} + 3a \end{aligned}

5. Evaluate
\begin{aligned}
\sqrt{0.00059049}
\end{aligned}