AIEEE Questions

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In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. 

Now x^2 + x^2 = 2x^2

Hence, x-squared plus x-squared is equal to 2 times x squared.

Here given the required digit number is 4 digit.

It must be divisible by 5. Hence, the unit's digit in the required 4 digit number must be 0 or 5. But here only 5 is available.

x x x 5

The remaining places can be filled by remaining digits as 5 x 4 x 3 ways.

Hence, number 4-digit numbers can be formed are 5 x 4 x 3 = 20 x 3 = 60.

A solution is a homogeneous type of mixture of two or more substances.

A solution has two parts::

1. A solute and

2. A solvent.

The solute is the substance that dissolves, and the solvent is the majority of the solution.

Ans. 
Distance covered by 1st train in 4 hours = 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station A = 8*120 = 960 km

Das Kapital, one of the major works of the 19th-century. Economist and philosopher Karl Marx (1818–83), wrote, in which he expounded his theory of the capitalist system, its dynamism, and its tendencies toward self-destruction.