AIEEE Questions

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Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.

Let the number of males be 'M'
Let the number of females be 'F'
From the given conditions,
(F-15)=2M.....(i)
F=5(M-45).....(ii)
By solving the equations (1) & (2) we get M = 80
Then substitute M = 80 in (1)
F = 2M + 15
F = 2 x 80 + 15
=> F = 175
Therefore, number of males = 80 and females = 175 in the party.

 The formula to find the volume is given by just multiplying Length, Breadth and Height of that object. 

 Thus, V = L x B X H  

Volume Formulae :   

1. Volume of Cube of side 's' = s x s x s = s3  cubic units.   

2. Volume of Cylinder = πR2h cubic units.  

[Where R is Radius and h is height]

The distance around a shape or figure I called Perimeter. A perimeter is a path that surrounds a two-dimensional shape.

Improving muscular strength and endurance slows bone density loss.

We know that polar substances are soluble in polar solvents and non polar substances are soluble in non-polar solvents only. Here the hydrocarbons are non-polar molecular substances and water is a polar solvent. So water can't dissolve hydrocabons.

Hence, as hydrocarbons are non-polar substances, they are insoluble in water as it is a highly polar solvent. 

Ans. 
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days