Quantitative Aptitude - Arithmetic Ability Questions

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

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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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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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Filed Under: Percentage
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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:

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

A) 18 B) 24
C) 16 D) 32
 
Answer & Explanation Answer: D) 32

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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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Q:

Select the odd word from the given alternatives.

A) Apple B) Mango
C) Orange D) Almond
 
Answer & Explanation Answer: D) Almond

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Q:

A missile travels at 1260 km/h. How many metres does it travel in one second?

A) 322 metres B) 369 metres
C) 384 metres D) 350 metres
 
Answer & Explanation Answer: D) 350 metres

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