Aptitude and Reasoning Questions

Q:

If 5(4 - x) - 4 > 5x -2 > 2x - 6, then the value of x is

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

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Q:

If cos -300° = x, then the value of x is

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

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Q:

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

 

Statements:
(I) All fans are cups.
(II) All cups are pillows.

 

Conclusion:
(I) All fans are pillows.
(II) All pillows are fans.

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

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 308 B) 108
C) 288 D) 240
 
Answer & Explanation Answer: A) 308

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Q:

If 5x + 4(1 -­ x) > 3x - ­4 > 5x/3 -­ x/3; then x can take which of the following values?

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

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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β) B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ D) h(cotα+cotβ)
 
Answer & Explanation Answer: D) h(cotα+cotβ)

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Q:

Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?

A) 6√3 B) 9√3/2
C) 3√3 D) 18
 
Answer & Explanation Answer: B) 9√3/2

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Q:

The side of an equilateral triangle is 8 cm. Find its area (in cm2).

A) 25√3 B) 16√2
C) 25√2 D) 16√3
 
Answer & Explanation Answer: D) 16√3

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