Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of Sin 30- √2 Cos 30

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

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Q:

Out of two numbers, 65% of the smaller number is equal to 45% of the larger number. If the sum of the numbers is 2574, then what is the value of larger number?.

 

A) 1521   B) 1471  
C) 1641   D) 1419
 
Answer & Explanation Answer: A) 1521  

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Q:

If sinC + sinD =X, then the value of X is?

A) 2cos[(C+D)/2]sin[(C-D)/2] B) 2sin[(C+D)/2]cos[(C-D)/2]
C) 2cos[(C+D)/2]cos[(C-D)/2] D) 2sin[(C+D)/2]sin[(D-C)/2]
 
Answer & Explanation Answer: B) 2sin[(C+D)/2]cos[(C-D)/2]

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Q:

Marked price of an item is Rs 900. On purchase of 2 items discount is 16%, on purchase of 5 items discount is 44%. Raksha buys 7 items, what is the effective discount?

A) 10 percent B) 16 percent
C) 36 percent D) 9.6 percent
 
Answer & Explanation Answer: C) 36 percent

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Q:

If 2x+ 4(x - 3) < -2 - x < 2x - 1, then find the value of x.

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

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Q:

The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

A) 6x2y - 8xy2 + 15y2z B) 6x2y + 8xy2 - 15y2z
C) 6x2y + 8xy2 - 15y2z - 20xyz D) 6x2y - 8xy2 + 15y2z + 20xyz
 
Answer & Explanation Answer: B) 6x2y + 8xy2 - 15y2z

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Q:

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

A) 3x -­ 2y = 14 B) 3x -­ 2y = 2
C) 3x + 2y = 14 D) 3x + 2y = 2
 
Answer & Explanation Answer: A) 3x -­ 2y = 14

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Q:

Simplify (b2x 3a2z4 ) × (b2x 4a4z3 )/(a3b2z4 )

A) b2x7a3z3 B) b3x7a3 z3
C) b2x5a3 z3 D) b2x7a3z2
 
Answer & Explanation Answer: A) b2x7a3z3

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