## Lakshya Education MCQs

Question:

By what least number 675 be multiplied to  obtain a number which is a perfect cube ?

Options:
 A. 4 B. 5 C. 6 D. 7

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## More Questions on This Topic :

Question 1.

Evaluate     $$\sqrt[3]{\sqrt{0.000064}}$$  = ?

Options:
1.    0.2
2.    0.02
3.    0.002
4.    0.0002
Question 2.

1. A General wishes to draw up his 36581 soldiers in the form of a solid square. After arranging them , he found that some of them are left over . How many are left ?

Options:
1.    90
2.    100
3.    110
4.    120
Question 3.

If  $$If 5 + 2âˆš3 = a + bâˆš3 , then find the value of a and b .$$  =   a +  b√3   , then find the value of  a and b .

Options:
1.    a = – 6 ,  b = – 11
2.    a = – 11 ,  b = – 6
3.    a = – 6 ,  b = 11
4.    a = 11 ,  b = – 6
Question 4.

The cube root of .000216 is:

Options:
1.    .6
2.    .06
3.    77
4.    87

(.000216)1/3 = $$\left(\frac{216}{10^{6}}\right)^{\frac{1}{3}}$$

= $$\left(\frac{6\times6\times6}{10^{2}\times10^{2}\times10^{2}}\right)^{\frac{1}{3}}$$

=$$\frac{6}{10^{2}}$$

= $$\frac{6}{100}$$

=0.06

Question 5.

What should come in place of both x in the equation $$\frac{x}{128} = \frac{162}{x}.$$

Options:
1.    12
2.    14
3.    144
4.    196

$$Let\frac{x}{128} = \frac{162}{x}$$

Then x2 = 128 x 162

= 64 x 2 x 18 x 9

= 82 x 62 x 32

= 8 x 6 x 3

= 144.

Therefore  x = 144 = 12.

Question 6.

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

Options:
1.    213444
2.    214344
3.    214434
4.    231444