Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a + b = 8 and ab =15, then a3 + b3 is

A) 224 B) 244
C) 152 D) 128
 
Answer & Explanation Answer: C) 152

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Q:

The point P(a,b) is first reflected in origin to P1 and P1 is reflected in y-­axis to (6,­-5). The co-­ordinates of point P are

A) (­-6,­-5) B) (6,5)
C) (­6,-5) D) (-6,­5)
 
Answer & Explanation Answer: B) (6,5)

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Q:

What is the value of √2 Sec 45° + (1/√3)Tan 30°?

A) (1 + √3)/2 B) (1 + 3√2)/√3
C) 7/3 D) (3 + 2√2)/3√2
 
Answer & Explanation Answer: C) 7/3

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Q:

Reflection of the point (4,­6) in the origin is

A) (4,6) B) (­-4,­-6)
C) (­-4,6) D) (4,­-6)
 
Answer & Explanation Answer: C) (­-4,6)

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Q:

30% discount is offered on an item. By applying a promo code the customer wins 10% cash back. What is the effective discount?

A) 40.7 percent B) 40 percent
C) 37 percent D) 13 percent
 
Answer & Explanation Answer: C) 37 percent

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Q:

In the following question, select the odd number group from the given alternatives.

A) (143, 64) B) (232, 49)
C) (719, 289) D) (462, 169)
 
Answer & Explanation Answer: D) (462, 169)

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Q:

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

A) 60 B) 54
C) 48 D) 72
 
Answer & Explanation Answer: A) 60

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Q:

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

A) 3x -­ 2y = 14 B) 3x -­ 2y = 2
C) 3x + 2y = 14 D) 3x + 2y = 2
 
Answer & Explanation Answer: A) 3x -­ 2y = 14

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