GATE Questions

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Let length and breadth of rectangle be L cm
and B cm respectively So, ATQ
Area1= (L-6)×B
But this is square, so L-6=B
Area1= (L-6) × (L-6)
Case 2, Area2= L × (B+6),
L=B+6
So, Area2= L × L,
Given, Area2-Area1= 252(L)2-(L-6)2=252
Solving this, L= 24
B= 18
Perimeter= 2(L+B)= 2(24+18)= 84 cm

Dates.

These are found in calendar as date and are tasty fruits that are full of energy.

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.

Let p be the required number of days.

From the given data,

12 x 14 = 12 x 5 + (12+3) x p 

12 x 14 = 12[5 + 3p]

14 = 5 + 3p

3p = 9

p = 3 days.

Hence, more 3 days all of them take to complete the remaining work.

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.

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by C.In - S.In = PR100n

Here n = 2 years, R = 20%, C.I - S.I = 56

$$\begin{gathered} 56 = P201002 \\ => P = 56 x 52 \\ => P = 56 x 25 \\ => P = Rs. 1400 \end{gathered}$$

The four bonds of carbon tetrachloride (CCl4) are polar, but the molecule is nonpolar because the bond polarity is cancelled by the symmetric tetrahedral shape. Hence, making the net dipole as zero and molecule as non-polar.

When other atoms substitute for some of the Cl atoms, the symmetry is broken and the molecule becomes polar.

A respirometer is a device used to measure the rate of respiration of a living organism by measuring its rate of exchange of oxygen and/or carbon dioxide.