Quantitative Aptitude - Arithmetic Ability Questions

Q:

If α and β are roots of the equation 3x2  13x + 14 = 0, then what is the value of (α/β) + (β/α)?

A) 65/28 B) 53/14
C) 9 D) 85/42
 
Answer & Explanation Answer: D) 85/42

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Q:

What is the value of tan 7π/6?

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

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Q:

Select the odd word from the given alternatives.

A) Batsman B) Umpire
C) Bowler D) Wicket-keeper
 
Answer & Explanation Answer: B) Umpire

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Q:

The point Q(a,b) is first reflected in y­axis to Q1 and Q1 is reflected in x­axis to (­6,2). The co­ordinates of point Q are

A) (-­6,­2) B) (2,­-6)
C) (6,­-2) D) (­-2,6)
 
Answer & Explanation Answer: C) (6,­-2)

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Q:

Point P is the midpoint of segment AB. Co-ordinates of P are (5,-4) and A are (7,0). What will be the co-ordinates of point B?

A) (3, -8) B) (-3, -8)
C) (3, 8) D) (-3, 8)
 
Answer & Explanation Answer: A) (3, -8)

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Q:

ABC is right angled at B. If mA = 30°, then find the value of (sinC + 1/3).

A) 4/3 B) (√3+1)/2
C) (√3+2)/√3 D) (3√3+2)/6
 
Answer & Explanation Answer: D) (3√3+2)/6

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Q:

The average marks in science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?

A) 68.5 B) 69
C) 69.5 D) 70
 
Answer & Explanation Answer: B) 69

Explanation:

Difference of marks = 72 + 61 –48 –65 = 20∴Correct average marks = 68 +20/20= 69

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Q:

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

A) 25 B) 30
C) 20 D) 23
 
Answer & Explanation Answer: A) 25

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