33
Q:

The cube root of .000216 is:

A) .6 B) .06
C) 77 D) 87

Answer:   B) .06



Explanation:

{\color{Blue}(.000216) ^{\frac{1}{3}}=\left ( \frac{216}{10^{6}} \right )^{\frac{1}{3}}} {\color{Blue} =\left [ \frac{6\times 6\times 6}{10^{2}\times 10^{2}\times 10^{2}} \right ]^{\frac{1}{3}}} {\color{Blue} =\left [ \frac{6}{10^{2}} \right ]} {\color{Blue} =0.06}

Q:

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

A) 5.65 B) 2.7
C) 3.5 D) 6.66
 
Answer & Explanation Answer: C) 3.5

Explanation:

Let the number is = x

(89)2 + x2 = 16202

x2 = 8281

x = 91

=> (1/26) of 91 = 3.5

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6 62
Q:

What should come in place of x in the following equation?

 

A) 13 B) 12
C) 17 D) 16
 
Answer & Explanation Answer: B) 12

Explanation:

Then x2 = 

   = 

   = Sqrt of 82 x 62 x 32

   = 8 x 6 x 3

   x2  = 144.

 x =  = 12.

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5 114
Q:

Find the value of  ?

A) 0 B) 1
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

Explanation:

Given   

 

= 3.

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4 287
Q:

If  then find the value of  ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given that 

So x - 2 = 

Now cubing on both sides, we get

=> 

=> .

Therefore,  = 2.

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5 311
Q:

A) 3/4 B) 4/3
C) 3/5 D) 5/3
 
Answer & Explanation Answer: B) 4/3

Explanation:

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3 780