Quantitative Aptitude - Arithmetic Ability Questions

Q:

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.

A) 30° B) 120°
C) 200° D) 300°
 
Answer & Explanation Answer: A) 30°

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Q:

What is the value of sin 75°+ sin 15°?

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

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Q:

What will be the roots of the quadratic equation x2 - 25x + 156 = 0?

A) 12, 13 B) 25, 1
C) 9, 16 D) 31, 6
 
Answer & Explanation Answer: A) 12, 13

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Q:

What is the value of 23+5252-23 ?

A) 9 B) 49
C) 561 D) 571
 
Answer & Explanation Answer: C) 561

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Q:

What is the value of (sin60° + 2/√3) ?

A) (2√3+1)/√3 B) 7/2√3
C) 3 D) 2+√3
 
Answer & Explanation Answer: B) 7/2√3

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Q:

The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60°. The height of the tower in meters is

A) √3 B) 5√3
C) 10√3 D) 20√3
 
Answer & Explanation Answer: C) 10√3

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Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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Q:

The slopes of two lines are 1/√3 and √3. What is the angle between these two lines?

A) 15° B) 45°
C) 60° D) 30°
 
Answer & Explanation Answer: D) 30°

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