Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

Point A (4 , 2) divides segment BC in the ratio 2:5. Co-ordinates of B are (2 , 6) and C are (7 , y). What is the value of y?

A) 8 B) -8
C) 6 D) -6
 
Answer & Explanation Answer: B) -8

Explanation:
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Q:

P, Q and R together can make a table in 40 minutes. P and Q together can make it in 60 minutes. How much time (in minutes) will R alone take to make the table?

A) 100 B) 120
C) 90 D) 150
 
Answer & Explanation Answer: B) 120

Explanation:
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Filed Under: Time and Work
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Q:

X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

A) 40/9 B) 9/40
C) 44/9 D) 9/44
 
Answer & Explanation Answer: A) 40/9

Explanation:
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Q:

If 5+x+5-x5+x-5-x = 3,then what is the value of x ?

A) 5/2 B) 25/3
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:
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Q:

Selling price of an article is Rs 494 and discount of 5% is offered. What is the marked price (in Rs)?

A) 524.5 B) 587
C) 520 D) 540
 
Answer & Explanation Answer: C) 520

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Q:

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

A) 144 sq. cms B) 288√3 sq. cms
C) 144√3 sq. cms D) 288sq.cms
 
Answer & Explanation Answer: C) 144√3 sq. cms

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Q:

In an army selection process, the ratio of selected to unselected candidates was 4:1. If 90 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A) 1650 B) 3300
C) 825 D) 4950
 
Answer & Explanation Answer: A) 1650

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