Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (tan60 + 1/3) ?

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

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Q:

If 9x = 24311, then what is the value of x?

A) 5/11 B) 5/22
C) 5/7 D) 5/33
 
Answer & Explanation Answer: B) 5/22

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Q:

If the difference between the roots of the equation Ax2  Bx + C = 0 is 4, then which of the following is TRUE?

A) B2 – 16A2 = 4AC + 4B2 B) B2 – 10A2 = 4AC + 6A2
C) B2 – 8A2 = 4AC + 10A2 D) B2 – 16A2 = 4AC + 8B2
 
Answer & Explanation Answer: B) B2 – 10A2 = 4AC + 6A2

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Q:

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

A) 31276 B) 36194
C) 25182 D) 33264
 
Answer & Explanation Answer: D) 33264

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Q:

How many three digit whole numbers are there between 75 and 405?

A) 305 B) 307
C) 304 D) 306
 
Answer & Explanation Answer: A) 305

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Q:

The square root of 3249 is

A) 63 B) 59
C) 57 D) 67
 
Answer & Explanation Answer: C) 57

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Q:

Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, thenwhat is the area of the bigger circle which is not enclosed by the two smaller circles (in sq.cm)?

A) 154 B) 256
C) 308 D) 616
 
Answer & Explanation Answer: C) 308

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Q:

Three sides of a triangle are 5 cm, 9 cm and x cm. The minimum integral value of x is

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: D) 5

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