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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

Similar Questions :

1. \begin{aligned}
(\frac{\sqrt{625}}{11} \times \frac{14}{\sqrt{25}} \times \frac{11}{\sqrt{196}})
\end{aligned}

  • 15
  • 7
  • 5
  • 9

Answer: Option C

Explanation:

\begin{aligned}
= (\frac{25}{11} \times \frac{14}{5} \times \frac{11}{14})
\end{aligned}

\begin{aligned}
= 5
\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. The largest four digit number which is a perfect cube, is:

  • 7000
  • 8000
  • 9261
  • 9999

Answer: Option C

Explanation:

21*21*21 = 9261

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

  • 8
  • 8.1
  • 9
  • 9.1

Answer: Option B

5. What is the square root of 0.16

  • 0.4
  • 0.04
  • 0.004
  • 4

Answer: Option A

Explanation:

as .4 * .4 = 0.16

Read more from - Square Root and Cube Root Questions Answers
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