Aptitude and Reasoning Questions

Q:

If sum of the roots of a quadratic equation is ­-7 and product of the roots is 12. Find the quadratic equation.

A) x2 + 7x + 12 = 0 B) x2 -­ 7x + 12 = 0
C) x2 -­ 7x -­ 12 = 0 D) x2 + 7x -­ 12 = 0
 
Answer & Explanation Answer: A) x2 + 7x + 12 = 0

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Q:

What is the value of Sin 30° - Cosec 45°?

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

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Q:

A 8 cm long perpendicular is drawn from the centre of a circle to a 12 cm long chord. The diameter of the circle is

A) 10 cm B) 12 cm
C) 16 cm D) 20 cm  
 
Answer & Explanation Answer: D) 20 cm  

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Q:

What is the value of sec -2π/3 ?

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

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Q:

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
6, 18, 54, ? , 486, 1458

A) 164 B) 160
C) 168 D) 162
 
Answer & Explanation Answer: D) 162

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Q:

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

A) 17 B) 15
C) 19 D) 13
 
Answer & Explanation Answer: C) 19

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Q:

Each of the questions below consists of a question and two statements numbered, I and II given below it. You have to decide whether the data given in the statements are sufficient to answer the question. Read both statements and choose the most appropriate option. Among M, N, D, P and K, who earns more than only the least earner among them?

I. N earns more than M and P but less than only D.
II. M earns more than P who earns more than K.

 

A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C) The data either in statement I alone or in statement II alone are sufficient to answer the question. D) If the data in statement I and II together are not sufficient to answer the question.
 
Answer & Explanation Answer:

Explanation:

From I and II: D > N > M > P > K.

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Q:

A certain sum of money becomes 4 times of itself in 30 years at a rate of simple interest. In how many years it will become double of itself at the same rate of simple interest?

A) 20 B) 15
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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