Quantitative Aptitude - Arithmetic Ability Questions

Q:

A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is

A) 4250 B) 4000
C) 8005 D) 8000
 
Answer & Explanation Answer: D) 8000

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Q:

In a triangle the length of the side opposite the angle which measures 30 degree is 12 cm, what is the length of the side opposite to the angle which measures 60 degree?

A) 9 cm B) 12√3 cm
C) (15√3)/2 cm D) (9√3)/2 cm
 
Answer & Explanation Answer: B) 12√3 cm

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Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I< Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

Quantity I= 20% - 10% - (20*10/100) % = +8%

Quantity II= 30% - 20% - (30*20/100)% = +4%

Hence Quantity I > Quantity II

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Q:

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

A) 1077.31 B) 905.14
C) 966.07 D) 1007.24
 
Answer & Explanation Answer: B) 905.14

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Q:

A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What is his average before the 17th match?

A) 58 B) 60.5
C) 63 D) 55.5
 
Answer & Explanation Answer: D) 55.5

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Q:

If the expression px3  2x2  qx + 18 is completely divisible by (x2  9), then what is the ratio between p and q respectively?

A) 1:9 B) 1:3
C) 3:1 D) 9:1
 
Answer & Explanation Answer: A) 1:9

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Q:

At 20% discount the selling price of an article is Rs 2400, what is the selling price (in Rs) if the discount is 32.5%?

A) 2125 B) 2225
C) 2025 D) 2325
 
Answer & Explanation Answer: C) 2025

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Q:

Two baskets together have 640 oranges. If (1/5)th of the oranges in the first basket be taken to the second basket. The number of oranges in the first basket is

A) 800 B) 600
C) 400 D) 300
 
Answer & Explanation Answer: C) 400

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