Square Roots and Cube Roots Questions

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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26 17880
Q:

The cube root of .000216 is:

A) .6 B) .06
C) 77 D) 87
 
Answer & Explanation Answer: B) .06

Explanation:

.00021613=21610613=6*6*6102*102*10213=6102=0.06

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80 17070
Q:

What should come in place of both the question marks in the equation

?128=162?

 

 

 

A) 12 B) 14
C) 144 D) 196
 
Answer & Explanation Answer: A) 12

Explanation:

Let x128=162x

 

Then, x2=128×162 =64×2×18×9=82×62×32 = 8×6×3 =144

 

x=12

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27 15409
Q:

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

 x128 = 162x

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

Explanation:

x128 = 162x

 

Then x2 = 162x128

  

   = Sqrt of 82 x 62 x 32

 

   = 8 x 6 x 3

 

   x2  = 144.

 

 x  = 12.

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11 11041
Q:

If 0.00000676=0.0026 then 6760000 is:

A) 2.6 B) 26
C) 260 D) 2600
 
Answer & Explanation Answer: D) 2600

Explanation:

6760000=0.00000676×102= 0.00000676 ×102 = 0.0026×106 = 2600

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48 8997
Q:

The value of  10+25+108+154+225is:

A) 4 B) 6
C) 8 D) 10
 
Answer & Explanation Answer: A) 4

Explanation:

10+25+108+154+22510+25+108+154+1510+25+108+1310+25+1110+616=4

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37 8069
Q:

If 35+125=17.88, then what will be the value of 80+65 =?

A) 13.41 B) 20.46
C) 21.66 D) 22.35
 
Answer & Explanation Answer: D) 22.35

Explanation:

35+125=17.88 35+55=17.88

5=2.235

 

80+65=45+65=105=10×2.235=22.35

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17 7934
Q:

If 18225=135, then the value of 182.25 +1.8225+0.018225+0.00018225  is:

A) 1.49985 B) 14.9985
C) 149.985 D) 1499.85
 
Answer & Explanation Answer: B) 14.9985

Explanation:

Given exp = 18225102+18225104+18225106+18225108

 

               = 1822510+18225102+18225103+18225104

 

               = 13510+135100+1351000+13510000

 

               = 13.5+1.35+0.135+0.0135=14.9985

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31 7125