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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Slope of the side DA of the rectangle ABCD is 5/3. What is the slope of the side AB?

A) 3/5 B)  -5/3
C) 5/3 D)  -3/5
 
Answer & Explanation Answer: D)  -3/5

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Q:

A retailer marks up his goods by 150% and offers 40% discount. What will be the selling price (in Rs) if the cost price is Rs 800?

A) 1200 B) 1500
C) 1000 D) 2000
 
Answer & Explanation Answer: A) 1200

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Q:

If A = 0.216 + 0.0080.36+0.04-0.12 & B = 0.729-0.0270.81+0.09+0.27, then what is the value of A2+B22 ?

A) 0.8 B) 1
C) 1.4 D) 2.2
 
Answer & Explanation Answer: B) 1

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Q:

A and B can together complete a task in 18 hours. After 6 hours A leaves. B takes 36 hours to finish rest of the task. How many hours would A have taken to do the task if he worked alone?

A) 54 B) 45
C) 21 D) 27
 
Answer & Explanation Answer: D) 27

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Q:

N is the smallest three digit prime number. When N is divided by 13, then what will be the remainder?

A) 8 B) 9
C) 7 D) 10
 
Answer & Explanation Answer: D) 10

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Q:

At what rate of compound interest per annum will a sum of Rs 20000 become Rs 23328 in 2 years?

A) 8 percent B) 16 percent
C) 24 percent D) 12 percent
 
Answer & Explanation Answer: A) 8 percent

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Q:

Value of (4a2+ 12ab + 9b2)/(2a + 3b) is

A) 2a - 3b B) 2a + 3b
C) 2a D) 3b
 
Answer & Explanation Answer: B) 2a + 3b

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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