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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (cosD - 1/√2).

 

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

Explanation:
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Q:

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

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

Explanation:

Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.

Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.

P(E) = n(E) / n(S)

      = 4/8= 1/2

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Q:

If a = 5 + 22 & b = 5 - 22, then find the value of a2 - b2.

 

A) 2 B) 4
C) 2√2 D) 4√2
 
Answer & Explanation Answer: D) 4√2

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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:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13 B) 1/13
C) 1/26 D) 1/52
 
Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

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Q:

The ratio of the areas of a square and a regular hexagon, both inscribed in a circle is?

 

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

Explanation:
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Q:

If a2 + 1a2 = 3, then a3 + 1a3 = ?

 

A) 3√5 B) 2√5
C) 2√3 D) 3√3
 
Answer & Explanation Answer: B) 2√5

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Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 1.04 B) 2.04
C) 3.04 D) 4.04
 
Answer & Explanation Answer: D) 4.04

Explanation:

100 cm is read as 102 cm. 

A1 = (100*100)Sq.cm 

A2 = (102*102)Sq.cm

(A2 - A1) = 1022-1002 = (102 + 100) x (102 - 100) = 404 sq.cm.

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