Quantitative Aptitude - Arithmetic Ability Questions

Q:

The two roots of an quadratic equation are given as x = 1/2 and x = -1/3. The equation can be written as

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

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Filed Under: Simplification
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Q:

If three successive discounts of 20%, 30% and 40% are given, then what will be the net discount (in percentage)?

A) 80 B) 87.6
C) 90 D) 66.4
 
Answer & Explanation Answer: D) 66.4

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Filed Under: Percentage
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Q:

The sum of the lengths of the edges of a cube is equal to four times the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

A) 27/16 units B) 10.5 units
C) 9/4 units D) 27 units
 
Answer & Explanation Answer: A) 27/16 units

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Filed Under: Volume and Surface Area
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Q:

Points P and Q lie on side AB and AC of triangle ABC respectively such that segment PQ is parallel to side BC. If the ratio of AP:PB is 1:4 and area of Δ APQ is 4 sq cm, what is the area of trapezium PQCB?

A) 60 sq cm B) 16 sq cm
C) 96 sq cm D) 21 sq cm
 
Answer & Explanation Answer: C) 96 sq cm

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Filed Under: Volume and Surface Area
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Q:

If the line DE is drawn parallel to the base BC of a triangle ABC by intersecting the other two sides, then which of the following is the CORRECT equation for this case.

A) AB/DB=AC/EC B) AD/AB=DB/EC
C) AD/DB=EC/AE D) AD/DB=AE/EC
 
Answer & Explanation Answer: D) AD/DB=AE/EC

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Q:

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?

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

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Filed Under: Numbers
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Q:

The angle of elevation of the top of a tower at a distance of 25 m from its foot is 60 deg. The approximate height of the tower is

A) 20.3 m B) 15.3 m
C) 36.3 m D) 43.3 m
 
Answer & Explanation Answer: D) 43.3 m

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Filed Under: Height and Distance
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Q:

In the following question, select the odd word pair from the given alternatives.

A) Red – Stop B) Green – Go
C) Pink – Red D) Yellow – Wait
 
Answer & Explanation Answer: C) Pink – Red

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Filed Under: Odd Man Out
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