Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

A) 11.76 cm B) 17.64 cm
C) 23.52 cm D) 5.88 cm
 
Answer & Explanation Answer: D) 5.88 cm

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Q:

What is the slope of the line perpendicular to the line passing through the points (­-4,5) and (3,­-2)?

A) 2 B) 3/7
C) -3/7 D) 1
 
Answer & Explanation Answer: D) 1

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Q:

Find the sum of the measures all the interior angles of a polygon having 12 sides.

A) 1800° B) 2520°
C) 2880° D) 3240°
 
Answer & Explanation Answer: A) 1800°

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Q:

Pipes A, B and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hrs, respectively, the third can drain the cistern, when filled, in 6 hrs. If all the three pipes are opened simultaneously when the cistern is half-full, how many hours will be needed to fill the cistern?

A) 30/11 B) 60/11
C) 120/11 D) 90/11
 
Answer & Explanation Answer: A) 30/11

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Q:

ΔDEF is right angled at E. If m∠F = 30 deg, then find the value of (sinD - 1/3).

A) -1/2√3   B) (3√3-2)/6  
C) (√2-√3)/√6   D) (2√2-1)/√2
 
Answer & Explanation Answer: B) (3√3-2)/6  

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Q:

If the equations 6x - 5y + 11 = 0 and 15x +  ky - 9 = 0 have no solution, then the value of k is:

 

A) -18 B) 12.5
C) -12.5 D) 18
 
Answer & Explanation Answer: C) -12.5

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Q:

Calculate the difference between the square of the largest and smallest two-digit prime numbers.

A) 9298 B) 9892
C) 9292 D) 9288
 
Answer & Explanation Answer: D) 9288

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Q:

The point equidistant from the sides of a triangle is called

A) Circumcenter B) Incentre
C) Orthocentre D) Centroid
 
Answer & Explanation Answer: B) Incentre

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