Aptitude and Reasoning Questions

Q:

The inner circumference of a circular race track, 14m wide is 440m. Find the radius of the outer circle.

A) 84m B) 24m
C) 44m D) 54m
 
Answer & Explanation Answer: A) 84m

Explanation:

let inner radius be r meters. 

2πr=440r=440×744=70mradius of outer circle =70+14m  

 

Therefore, Radius of outer circle = 70 + 14 = 84m

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Q:

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A) 14:9 B) 13:12
C) 16:5 D) 17:13
 
Answer & Explanation Answer: C) 16:5

Explanation:

Area of a square SxS = 1024 => S = 32 cm
Length of the rectangle = 32x2 cm = 64 cm
Breadth of the rectangle = 32 - 12 = 20 cm
Required ratio = 64 : 20 = 16 : 5

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Q:

Let A(O,-1), B(0,3) and C(2,1) be three points. Let   1 be the area of the triangle ABC and 2 be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A, B and C such that 1=1 ,2=x Find the value of x .

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

Explanation:
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5 1227
Q:

The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm^2. If the shorts side is halved and the longer side is double, the new hypotenuse becomes

 

A) √245 cm B) √255 cm
C) √265 cm D) √275 cm
 
Answer & Explanation Answer: C) √265 cm

Explanation:
Hypotenuse = 10cm
Let the other 2 perpendicular sides be a and b
Area ½ a*b = 24
So a*b = 48 cm^2
Also using Pythagoras
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Q:

Find the area (in sq units) enclosed by y = 0, x+6=0 and 2x-3y=6.

A) 9 B) 16
C) 20 D) 27
 
Answer & Explanation Answer: D) 27

Explanation:
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Q:

Choose the most appropriate answer:A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 Km/h and the speed of the current is 3 Km/h, the distance between A and B is

A) 9 km B) 10 km
C) 11 km D) 12 km
 
Answer & Explanation Answer: D) 12 km

Explanation:

Speed of boat in still water = 9 km/hr

Speed of current = 3km/hr

Downstream speed = 9+3 = 12 km/hr

Upstream speed = 9-3 =6 km/hr

Let the distance between A to B be x km.

x/6 + x/12 = 3x + 2x = 36
3x = 36
x = 12 km

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Filed Under: Boats and Streams
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5 1204
Q:

If a boat goes a certain distance at 30 km/hr and comes back the same distance at 60 km/hr. What is the average speed (in km/hr) for the total journey?

A) 45 B) 50
C) 40 D) 35
 
Answer & Explanation Answer: C) 40

Explanation:
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Q:

If a boat goes a certain distance at 30 km/h and comes back the same distance at 20 km/hr, what is the average speed (in km/hr) for the total journey?

A) 25 B) 24.5
C) 24 D) 25.5
 
Answer & Explanation Answer: C) 24

Explanation:
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