Quantitative Aptitude - Arithmetic Ability Questions

Q:

If [2(4x/5 - 3/4)]/3 - 5/3 = -1/6, then the value of x is?

A) 4/15 B) -15/4
C) -4/15 D) 15/4
 
Answer & Explanation Answer: D) 15/4

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Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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Q:

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

A) 48 B) 24
C) 36 D) 42
 
Answer & Explanation Answer: B) 24

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Q:

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

A) 1 B) sin ( A + B – C)
C) cos ( B + C – A) D) 0
 
Answer & Explanation Answer: D) 0

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Q:

ΔDEF is right angled at E. If secD = 25/7, then what is the value of cosecF ?

A) 7/25 B) 24/7
C) 25/7 D) 7/24
 
Answer & Explanation Answer: C) 25/7

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Q:

If the sum of the digits of any integer between 100 and 1000 is subtracted from the same integer , the resulting number is always divisibleby

A) 2 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: D) 9

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Q:

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

 

A) 280 km B) 105 km
C) 70 km D) 140 km
 
Answer & Explanation Answer: D) 140 km

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Q:

The reciprocal of the sum of the reciprocals of 3/8 and 8/11 is:

A) 97/24 B) 24/97
C) 88/97 D) 97/88
 
Answer & Explanation Answer: B) 24/97

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