Aptitude and Reasoning Questions

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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0 46313
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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7 46234
Q:

Which of the following statements is/are true?

I.  1112+1734-515-2110 = 43920II. 91078>111127>121219III. 149151>153155>157159

A) Only I B) Only II
C) Only III D) None is true.
 
Answer & Explanation Answer: A) Only I

Explanation:
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0 46210
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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92 46168
Q:

Calculate the value of x if 1 - x289 = 1517

 

A) 64 B) 44
C) 36 D) 54
 
Answer & Explanation Answer: A) 64

Explanation:
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0 46121
Q:

If  1515151515....... and x > 0, then find the value of x2 + 4.

 

A) 125 B) 179
C) 200 D) 229
 
Answer & Explanation Answer: D) 229

Explanation:
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0 46015
Q:

Solve the following:

 

11 + sinθ + 11 - sinθ = ?

 

A) 2cos2θ B) 1
C) 0 D) 2sec2θ
 
Answer & Explanation Answer: D) 2sec2θ

Explanation:
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0 46010
Q:

The ratio of the present ages of P and Q is 3 : 4. Five years ago, the ratio of their ages was 5 : 7. Find their present ages.

Answer

As the ratio of their present ages is 3 : 4 , let their present ages be 3X and 4X.


So, 5 years ago, as the ratio of their ages was 5 : 7, we can write  (3x-5) : (4x-5) = 5 : 7. Solving, we get X = 10. Hence, their present ages are 3X = 30 and 4X = 40

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Subject: Problems on Ages

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