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

  • 7000
  • 8000
  • 9261
  • 9999

Answer: Option C

Explanation:

21*21*21 = 9261

Similar Questions :

1. 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

2. 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.

3. 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}

4. The cube root of .000216 is

  • 0.6
  • 0.006
  • 0.06
  • .0006

Answer: Option C

5. Evaluate
\begin{aligned} \sqrt[3]{4\frac{12}{125}} \end{aligned}

  • \begin{aligned} 1\frac{2}{5} \end{aligned}
  • \begin{aligned} 1\frac{3}{5} \end{aligned}
  • \begin{aligned} 1\frac{4}{5} \end{aligned}
  • 1

Answer: Option B

Explanation:

\begin{aligned}
= \sqrt[3]{\frac{512}{125}} \end{aligned}
\begin{aligned}
= (\frac{8*8*8}{5*5*5})^{\frac{1}{3}} \end{aligned}

\begin{aligned} = \frac{8}{5} = 1\frac{3}{5} \end{aligned}

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