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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What is the total length intercepted between both the axes by the line 8x+4y=40?

 

A) 5   B)  10  
C)  15   D)  20
 
Answer & Explanation Answer: C)  15  

Explanation:
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Q:

Find the odd statement : Two lines are perpendicular to each other if they are,

 

A) Adjacent sides of a rectangle B) Diagonals of a rhombus
C) Hypotenuse and one side of a right-angle triangle D) Adjacent sides of a square
 
Answer & Explanation Answer: C) Hypotenuse and one side of a right-angle triangle

Explanation:
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0 14972
Q:

If repetition of the digits is allowed, then the number of even natural numbers having three digits is :

A) 550 B) 450
C) 500 D) 540
 
Answer & Explanation Answer: B) 450

Explanation:

In a 3 digit number one’s place can be filled in 5 different ways with (0,2,4,6,8)

10’s place can be filled in 10 different ways

100’s place can be filled in 9 different ways

There fore total number of ways = 5X10X9 = 450

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Filed Under: Permutations and Combinations

10 14943
Q:

Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in 

A) 14.4 sec B) 15.5 sec
C) 18.8 sec D) 20.2 sec
 
Answer & Explanation Answer: A) 14.4 sec

Explanation:

Let the length of the train be L metres

 

Speed of first train = 360018xL m/hour

 

Speed of secxond train = 360012xL m/hour

 

When running in opposite directions, relative speed = 200 L + 300 L m/hour

 

Distance to be covered = L + L = 2L metre

 

Time taken = 2L500Lx3600 sec

 

                 =14.4 sec

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Filed Under: Problems on Trains
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25 14937
Q:

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be: 

A) 450 B) 600
C) 300 D) 100
 
Answer & Explanation Answer: D) 100

Explanation:

Passing marks are 0.6x 

 

so 0.3x + 30 = 0.6x   => x = 100

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Filed Under: Percentage
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21 14915
Q:

The least number that must be subtracted from 7577 to get a perfect square is

 

A) 7 B) 6
C) 5 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Problems on Numbers
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Q:

2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plots is 96 sq.m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction?

A) 20 B) 30
C) 40 D) data is inadequate
 
Answer & Explanation Answer: D) data is inadequate

Explanation:

Given lb =96

Area of pathway = [(l-4)(b-4)-lb] = 16-4(l+b)

Which cannot be determined. so, data is inadequate.

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Q:

A man walking at the speed of 4 kmph crosses a square field diagonally in 3 meters.The area of the field is

A) 10000 B) 20000
C) 30000 D) 40000
 
Answer & Explanation Answer: B) 20000

Explanation:

speed of the man = 4 x (5/18) m/sec = 10/9 m/sec

time taken = 3 x 60 sec = 180 sec

length of diagonal = speed x  time = (10/9) x 180 = 200m

Area of the field = (1/2) x (dioagonal)²

= (1/2) x 200 x 200 sq.m = 20000sq.m

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