GATE Questions

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Ideal Gas Law ::

The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles' Law, and Gay-Lussac's Law. It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas:

P1V1T1 = P2V2T2

Hence, the Boyle's law P1V1 = P2T2, relates to ideal gas equation.

A procedure or method called Checks and Balances stops one branch of government from becoming too powerful.

• In the United States, there are three branches of government: The Executive, Legislative, and Judicial.

• Each has its own responsibilities and at the same time they work together to make the country run smoothly and to assure that the rights of citizens are not ignored or disallowed.

• There is a clear separation of powers between them.

• Checks and Balances limit the power within each branch.

• Each branch can stop and/or override processes within other branches in manners that are outlined in federal laws, regulations, and the constitution.

• This way, their powers are balanced because the branches of government have the responsibility to check each other.

Buoyancy or Upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.

In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid.

The given equation is in Mixed fraction.

Now to solve this type of fractions,

$$\begin{gathered} 413 + 215 + 414 =? \\ ? = 4 + 2 + 4 + 13 + 15 + 14 \\ ? = 10 + 4760 \\ ? = 104760 \\ \end{gathered}$$

Compounding frequency :

The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year.

The greater the compounding frequency, the more often your interest is calculated and added back into your account.

No. of students will be 98 x 12 = 1176
let us consider n circles then 1 + 2 + 3 + ....+ n = 1176
n(n+1)/2 = 1176
n = 48 circles.

The given number series is 52, 56, 48, 64, 32, …

It follows a pattern that,

52

52 + 4 = 56

56 - 8 = 48

48 + 16 = 64

64 - 32 = 32

32 + 64 = 96

Therefore, the required next number in the given number series is 96.