Aptitude and Reasoning Questions

Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

 

A) (2√2+√3)/2 B) 5/6
C) (1+2√3)/2 D) (√2+1)/√2
 
Answer & Explanation Answer: A) (2√2+√3)/2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

1 48381
Q:

Find the odd word / letter / number from the given alternative

 

A) Rival B) Opponent
C) Foe D) Ally
 
Answer & Explanation Answer: D) Ally

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

0 48374
Q:

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A) 6 min.to empty B) 6 min.to fill
C) 9 min.to empty D) 9 min.to fill
 
Answer & Explanation Answer: A) 6 min.to empty

Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.

 

part to be emptied = 2/5

 

part emptied by (A+B) in 1 minute=16-110=115

 

115:25::1:x

 

25*15=6mins

 

so, the tank will be emptied in 6 min

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Filed Under: Pipes and Cistern

87 48289
Q:

Select the missing word pair based on the given related pair.

Buy : Bought ::  ____

A) Tore : Tear B) Ran : Run
C) Sang : Sing D) Shut : Shut
 
Answer & Explanation Answer: D) Shut : Shut

Explanation:
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Filed Under: Analogy
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3 48275
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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0 48242
Q:

Select the related word from the given alternatives.

Pencil : Lead :: Pen : ?

A) Ball B) Write
C) Blue D) Ink
 
Answer & Explanation Answer: D) Ink

Explanation:
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Filed Under: Analogy
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0 48204
Q:

If the value of θ = 30°, then the value of tan2θ + cot2θ.

 

A) 1/3 B) 4/3
C) 9/3 D) 10/3
 
Answer & Explanation Answer: D) 10/3

Explanation:
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1 48201
Q:

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A) 136/345 B) 17/87
C) 316/435 D) 158/435
 
Answer & Explanation Answer: C) 316/435

Explanation:

ns=C230

 

 Let A be the event of getting two oranges and 

 

 B be the event of getting two non-defective fruits.

 

 and AB be the event of getting two non-defective oranges

 

  PA=C220C230, PB=C222C230 and PAB=C215C230

 

 PAB=PA+PB-PAB

 

C220C230+C222C230-C215C230=316435

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Filed Under: Probability

109 48193