Aptitude and Reasoning Questions

Q:

A solid right circular cone of radius 4 cm and height 7 cm is put inside a cylindrical vessel of radius 5 cm and height 8 cm. How much water in cubic cm will be required to fill the cylindrical vessel completely?

A) 1022.48 cubic cms B) 1533.72 cubic cms
C) 511.24 cubic cms D) 255.62 cubic cms
 
Answer & Explanation Answer: C) 511.24 cubic cms

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Q:

A root of equation ax2 + bx + c = 0 (where a, b and c are rational numbers) is 5 + 3√3. What is the value of (a2 + b2 + c2)/(a + b + c)?

A) 35/3 B) 37/3
C) – 105/11 D) – 105/13
 
Answer & Explanation Answer: C) – 105/11

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Q:

If x = 313- 3-13, then 3x2 + 9x is equal to

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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Q:

Which of the following numbers is completely divisible by 99?

A) 57717 B) 57627
C) 55162 D) 56982
 
Answer & Explanation Answer: A) 57717

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Q:

If (36 - 16x) - (4x - 8) = 4, then the value of x is

A) 4 B) 2
C) 6 D) 3
 
Answer & Explanation Answer: B) 2

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Q:

If the shopkeeper sells an item at Rs 1600 which is marked as Rs 2000, then what is the discount he is offering?

A) 25 percent B) 20 percent
C) 30 percent D) 10 percent
 
Answer & Explanation Answer: B) 20 percent

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Q:

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

A) 3.5 B)  7
C) 10.5 D) 14
 
Answer & Explanation Answer: D) 14

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Filed Under: Volume and Surface Area
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Q:

Which of the following is correct?

A) (6x + y)(x - 6y) = 6x^2+ 35xy - 6y^2 B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2
C) (6x + y)(x - 6y) = 6x^2- 37xy - 6y^2 D) (6x + y)(x - 6y) = 6x^2+ 37xy - 6y^2
 
Answer & Explanation Answer: B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2

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