Question Detail

Evaluate
\begin{aligned}
\sqrt{6084}
\end{aligned}

Answer: Option C

1. Evaluate
\begin{aligned}
\sqrt{6084}
\end{aligned}

Answer: Option C

2. 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

3. 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.

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. The largest four digit number which is a perfect cube, is:

7000
8000
9261
9999

Answer: Option C

Explanation:

21*21*21 = 9261

Question Detail

Evaluate \begin{aligned} \sqrt{6084} \end{aligned}

1. Evaluate \begin{aligned} \sqrt{6084} \end{aligned}

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

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

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

5. The largest four digit number which is a perfect cube, is:

Evaluate
\begin{aligned}
\sqrt{6084}
\end{aligned}

1. Evaluate
\begin{aligned}
\sqrt{6084}
\end{aligned}

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

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