Quantitative Aptitude - Arithmetic Ability Questions

Q:

Determine the value of x+yx+2y when 2x+yx+4y = 3.

 

A) 3/5 B) 7/10
C) 4/5 D) 9/10
 
Answer & Explanation Answer: D) 9/10

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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97 45168
Q:

If x = 0.139, then what is the value of  4x2 + 4x + 1 ?

 

A) 1.39 B) 1.278
C) 2.139 D) 1.69
 
Answer & Explanation Answer: B) 1.278

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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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90 45123
Q:

For how many positive integers 'n', n3 - 8n2 + 20n - 13 is a prime?

 

A) 3 B) 2
C) 5 D) 7
 
Answer & Explanation Answer: A) 3

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2 45106
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 45105
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:

Find the range of the data 9, 5, 9, 3, 4, 7, 8, 4, 8, 9, 5, 9.

 

A) 3 B) 5
C) 6 D) 4
 
Answer & Explanation Answer: C) 6

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