Aptitude and Reasoning Questions

Q:

If (tanA ­- tanB)/(1 + tanAtanB) = x, then the value of x is

A) tan(A -­ B) B) tan(A + B)
C) cot(A ­- B) D) cot(A + B)
 
Answer & Explanation Answer: A) tan(A -­ B)

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Filed Under: Simplification
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Q:

What is the value of {sin (90 – x) cos [π – (x – y)]} + {cos (90 – x) sin [π – (y – x)]}?

A) -cos y B) -sin y
C) cos x D) tan y
 
Answer & Explanation Answer: A) -cos y

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Q:

If  2x+14x = 1, then the value of  x2+164x2 is

A) 0 B) 1
C) 1/4 D) 2
 
Answer & Explanation Answer: A) 0

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Q:

If √[(1 - cosA)/2] = x, then the value of x is

A) cos(A/2) B) tan(A/2)
C) sin(A/2) D) cot(A/2)
 
Answer & Explanation Answer: C) sin(A/2)

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Q:

Consider the given statement/s to be true and decide which of the given conclusions/assumptions can definitely be drawn from the given statement.

Statement 1: When water is cooled, it turns into ice.
Statement 2: When water is heated, it turns into steam.

Conclusion I: Water is a solid.
Conclusion II: Water is a gas.

A) Only Conclusion I follows B) Only Conclusion II follows
C) Both I and II follow D) Neither I nor II follows
 
Answer & Explanation Answer: D) Neither I nor II follows

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Filed Under: Statement and Conclusions
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Q:

The total surface area of a hemisphere is 462 sq cm, what is its curved surface area? (Take π = 22/7)

A) 616 sq cms B) 154 sq cms
C) 308 sq cms D) 462 sq cms
 
Answer & Explanation Answer: C) 308 sq cms

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Filed Under: Volume and Surface Area
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Q:

What is the reflection of the point (-4, 3) in the line x = -2?

A) (-4 , -7) B) (4 , 3)
C) (0 , 3) D) (-4 , 7)
 
Answer & Explanation Answer: C) (0 , 3)

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Filed Under: Volume and Surface Area
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Q:

In a certain language KINDLE is coded as ELDNIK, how is IMPOSING coded in that code?

A) GNIOSPMI B) GNSIOPMI
C) GNISPOMI D) GNISOPMI
 
Answer & Explanation Answer: D) GNISOPMI

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Filed Under: Coding and Decoding
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