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Q:

The following Bar-diagram shows total number of males and females in 5 different organisations. Study it carefully to answer the questions.

What is the difference between the total number of females and the total number of males from all the organisations together?

A) 2005 B) 2050
C) 2500 D) 2055
 
Answer & Explanation Answer: C) 2500

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Q:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

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Q:

A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

A) 7 km/hr B) 11 km/ hr
C) 26 km/hr. D) 33 km/hr
 
Answer & Explanation Answer: D) 33 km/hr

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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 cosθ = x2-y2x2+y2, then the value of cotθ is

A) 2xyx2-y2 B) 2xyx2+y2
C) x2+y22xy D) x2-y22xy
 
Answer & Explanation Answer: D) x2-y22xy

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Q:

If cosx.cosy + sinx.siny = -1 then cosx + cosy is

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

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Q:

If sin P + cosec P = 2, then the value of sin7P + cosec7P is

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

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Q:

If secA + tanA = a, then the value of cosA is

A) a2+12a B) 2aa2+1
C) a2-12a D) 2aa2-1
 
Answer & Explanation Answer: B) 2aa2+1

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