Aptitude and Reasoning Questions

Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

 

A) (4-√3)/2   B) √2-√3  
C) -√3/2 D) (√6-1)/√3
 
Answer & Explanation Answer: B) √2-√3  

Explanation:
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Q:

If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?

A) 500 B) 1000
C) 1500 D) 2000
 
Answer & Explanation Answer: B) 1000

Explanation:

Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.

Then, 2x + 3y = 3500 ...(i)

and 3x + 2y = 4000 .....(ii)

solving (i) and (ii) we get x = 1000, y = 500 

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Q:

Find the Odd One Out?

3 24 186 1008 5040 20160

A) 24 B) 20160
C) 186 D) 5040
 
Answer & Explanation Answer: C) 186

Explanation:

The given number series is 3  24  186  1008  5040  20160

Here  the given series follows a pattern that,

3

3 x 8 = 24

24 x 7 = 168 not 186

168 x 6 = 1008

1008 x 5 =  5040

5040 x 4 = 20160

 

Hence the Odd One in the number series is 186.

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Q:

DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

 

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

Explanation:
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Q:

12 people at a party shake hands once with everyone else in the room.How many handshakes took place?

A) 72 B) 66
C) 76 D) 64
 
Answer & Explanation Answer: B) 66

Explanation:

There are 12 people, so this is our n value.

 

So, 12C21= 66

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Q:

The age of a man is 4 times of his son. Five years ago, the man was nine times old as his son was at that time. The present age of man is?

Answer

Let the son's age be x years and the father's age be 4x years 



       5x = 40


        x = 8


\inline \therefore present age of the father = \inline 4x = \inline 4\times 8 = 32 years

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Subject: Problems on Ages

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Q:

Sinθ Cos(90 - θ) + Cosθ Sin(90 - θ) = 

 

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

Explanation:
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Q:

If the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word ‘SACHIN’ appears at serial number :

A) 601 B) 600
C) 603 D) 602
 
Answer & Explanation Answer: A) 601

Explanation:

If the word started with the letter A then the remaining 5 positions can be filled in  5! Ways.

 

If it started with c then the remaining 5 positions can be filled in 5! Ways.Similarly if it started with H,I,N the remaining 5 positions can be filled in 5! Ways.

 

If it started with S then the remaining position can be filled with A,C,H,I,N in alphabetical order as on dictionary.

 

The required word SACHIN can be obtained after the 5X5!=600 Ways i.e. SACHIN is the 601th letter.

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