11
Q:

If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?

A) 1 B) 2
C) 3 D) 4

Answer:   B) 2



Explanation:

Given that x = 2+ 223 + 213

 

So x - 2 = 223 + 213

 

Now cubing on both sides, we get

 

 

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

 

Therefore, x3-6x2+6x = -6 + 8 = 2

 

 

Subject: Square Roots and Cube Roots
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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Q:

Find the square root of 1471369.

 

A)  1213 B)  1223
C)  1203 D) 1233
 
Answer & Explanation Answer: A)  1213

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2 18256
Q:

Find the cube root of 287496

 

A) 64 B) 46
C) 56 D) 66
 
Answer & Explanation Answer: D) 66

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1 1484
Q:

Which of the following relation is CORRECT?

 

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: A) Only I

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0 2008
Q:

The square root of 5184 is

A) 76 B) 74
C) 72 D) 82
 
Answer & Explanation Answer: C) 72

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2 617
Q:

How many of the factors of 256 are perfect squares?

A) 6 B) 4
C) 3 D) 5
 
Answer & Explanation Answer: D) 5

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1 640
Q:

What is the square root of (√5 + 2)/(√5 – 2)?

 

A) √5 – √4   B) √5 + 2  
C) 5 + √2   D) 7
 
Answer & Explanation Answer: B) √5 + 2  

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1 1965
Q:

What is the square root of 6561?

A) 79 B) 89
C) 77 D) 81
 
Answer & Explanation Answer: D) 81

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3 653
Q:

The least number to be added to 435 to make it a perfect square is

A) 8 B) 4
C) 3 D) 6
 
Answer & Explanation Answer: D) 6

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3 754