Quantitative Aptitude - Arithmetic Ability Questions

Q:

2 ­- (cosA + sinA)2 is equal to

A) (cosecA -­ sinA)2 B) cosA ­- sinA
C) cosecA ­- sinA D) (cosA -­ sinA)2
 
Answer & Explanation Answer: D) (cosA -­ sinA)2

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Q:

The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

A) -3 B) -2
C) 4 D) 5
 
Answer & Explanation Answer: A) -3

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

A) 297/425 B) 304/425
C) 87/425 D) 416/425
 
Answer & Explanation Answer: A) 297/425

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Q:

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

A) 50√3 metre B) 45√3 metre
C) 43√3 metre D) 47√3 metre
 
Answer & Explanation Answer: C) 43√3 metre

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Q:

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75
C) 4.5 D) 3.45
 
Answer & Explanation Answer: B) 3.75

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Q:

If x + 1x = 3, then x18 + x12 + x6 + 1 value is

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

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Q:

Find the odd word/letters/number from the given alternatives.

A) CBED B) JILK
C) TSVU D) VZXY
 
Answer & Explanation Answer: D) VZXY

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Q:

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?

A) x - y = -5 B) x - y = -1
C) x + y = -5 D) x + y = -1
 
Answer & Explanation Answer: D) x + y = -1

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