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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Which of the following statement(s) is/are CORRECT?

 

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

 

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

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Q:

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

 

A) -c2/ab B) -c2/bc
C) -c3/ba D) -c/a
 
Answer & Explanation Answer: A) -c2/ab

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Q:

Given that (a2 + b2) = 60, then find the value of (a + b)2 + (a - b)2 ?

 

A) 90 B) 120
C) 140 D) 150
 
Answer & Explanation Answer: B) 120

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Q:

If 7x + 9y3x - 4y = 198, then the value of x/y is

 

A) 148/1 B) 1/148
C) 145/1 D) 1/145
 
Answer & Explanation Answer: A) 148/1

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Q:

If p + 1p = 10, then the value of p4 + 1p4.

 

A) 52 B) 60
C) 62 D) 65
 
Answer & Explanation Answer: C) 62

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Q:

If z = 6 - 2√3, then find the value of (z - 1z)2.

 

A) 102 - 4634 B) 102 - 4632
C) 102 - 46324 D) 12 - 46324
 
Answer & Explanation Answer: C) 102 - 46324

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Q:

What is the positive square root of [25 + 4√39]?

 

A) √13 + 2√3   B) √13 + 3√2  
C) √11 + 2√3 D) 11 + 3√2  
 
Answer & Explanation Answer: A) √13 + 2√3  

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Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

 

A) 3√3/2   B) 1+√3  
C) (2√2+1)/2   D) (3√3+1)/6
 
Answer & Explanation Answer: A) 3√3/2  

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