Quantitative Aptitude - Arithmetic Ability Questions

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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98 45334
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:

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

216 45307
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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90 45237
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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0 45209
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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84 45187
Q:

If tan4θ + tan2θ = 2, then sec4θ - sec2θ = ?

 

A) 0 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:
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Q:

If 60% of a number is added to 60, then the result is equal to the number itself. What is the number?

 

A) 150   B) 120  
C) 100   D) 180  
 
Answer & Explanation Answer: A) 150  

Explanation:
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