Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos -225° = x, then the value of x is

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

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Q:

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

A) sinC ­-  sinD B) cosC + cosD
C) cosC -­ cosD D) sinC + sinD
 
Answer & Explanation Answer: D) sinC + sinD

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Q:

The length of the base of an isosceles triangle is 2x­2y+4z, and its perimeter is 4x­2y+6z. Then the length of each of the equal sides is

A) x+y B) x+y+z
C) 2(x+y) D) x+z
 
Answer & Explanation Answer: D) x+z

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Filed Under: Area
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Q:

The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in

A) 6 days B) 6 10/33 days
C) 7 10/33  days D) 8 days
 
Answer & Explanation Answer: B) 6 10/33 days

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Q:

In an isosceles triangle ABC, AB = AC, XY || BC. If A = 30, then BXY = 

A) 75° B) 30°
C) 150° D) 105°
 
Answer & Explanation Answer: D) 105°

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Filed Under: Volume and Surface Area
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Q:

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : √5 = 2.23 and π = 22/7 ]

A) 1.42 litres B) 1.53 litres
C) 1.71 litres D) 1.82 litres
 
Answer & Explanation Answer: B) 1.53 litres

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Q:

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

A) 105 years B) 110 years
C) 115 years D) 112 years
 
Answer & Explanation Answer: C) 115 years

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Q:

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?

A) 55 B) 60
C) 70 D) 90
 
Answer & Explanation Answer: C) 70

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