Aptitude and Reasoning Questions

Q:

What is the value of (4/3) cot2 (p/6) + 3 cos2 (150)  4 cosec2 45 + 8 sin (p/2)?

A) 25/4 B) 1
C) – 7/2 D) 13/2
 
Answer & Explanation Answer: A) 25/4

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Q:

ABC is a right angled triangle. ∠BAC = 90 deg and ∠ACB = 60 deg. What is the ratio of the circum radius of the triangle to the side AB?

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

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Q:

If α and β are the roots of equation x2   x + 1 = 0, then which equation will have roots α3 and β3?

A) x2 + 2x + 1 = 0 B) x2 – 2x – 1 = 0
C) x2 + 3x – 1 = 0 D) x2 – 3x + 1 = 0
 
Answer & Explanation Answer: A) x2 + 2x + 1 = 0

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Q:

If a mirror is placed on the line MN, then which is the right image of the given figure?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

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Q:

In a certain code language, '-' represents 'x', '÷' represents '+', '+' represents '÷' and 'x' represents '-'. Find out the answer to the following question.

 

7 x 10 ÷ 30 - 2 + 6 = ?

 

A) 33 B) 18
C) 7 D) 26
 
Answer & Explanation Answer: C) 7

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Q:

If α and β are the roots of the equation x2+ x  1 = 0, then what is the equation whose roots are α5 and β5?

A) x2 + 7x – 1 = 0 B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0 D) x2 + 11x – 1 = 0
 
Answer & Explanation Answer: D) x2 + 11x – 1 = 0

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Q:

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

A) 65° B) 130°
C) 115° D) 55°
 
Answer & Explanation Answer: C) 115°

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Q:

If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?

A) 9/4 B) 4/9
C) -9/4 D) -4/9
 
Answer & Explanation Answer: A) 9/4

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