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Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$$\begin{gathered} ⇒x + 32 - x - 32 = 396 \\ ⇒ x2 + 9 + 6x - x2 + 6x - 9 = 396 \\ ⇒ 12x = 396 \\ ⇒ x = 33 \end{gathered}$$

Hence, the smallest odd number is 33 - 4 = 29.

Durand Cup is associated with the game of Football.

The Durand Football Tournament or Durand Cup is a football competition in India which was first held in 1888. This competition was named after its founder, Sir Mortimer Durand from Simla.

Eugenics is the study of altering human beings by changing their genetic components.

It is the study of the agencies under social control that may improve or impair the racial qualities of future generations either physically or mentally.

"Cuba" is the name of the country which was commonly known as the "Sugar Bowl of the World".

It is called by this name because formerly it was the largest producer of Sugar, but now Brazil is currently the largest producer of Sugar.

It is an island country in the Caribbean and is officially called as the Republic of Cuba.

Initial quantity of copper =80100 x 50 = 40 g 

And that of Bronze = 50 - 40 = 10 g

Let 'p' gm of copper is added to the mixture

=> 50 + p x 90100 = 40 + p

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, 50 gms of copper is added to the mixture, so that the copper is increased to 90%.

Google has launched new online security campaign #SecurityCheckKiya in India to promote security awareness among general public. The purpose of the campaign is to protect young and first-time web users from account hijacking, safeguard Android devices from malicious apps and secure all their personal data if they lose their device.

The Length of the Day is determined in Astronomical Units.

The length of a day corresponds to the time the Earth takes to turn around on its axis, which is approximately 24 hours. But it's not exactly 24 hours. 

This phenomenon is due to tides raised by the Moon which slow Earth's rotation. Because of the way the second is defined, the mean length of a day is now about 86 400.002 seconds, and is increasing by about 1.7 milliseconds per century.

It won't requires that much solving.

Here given the increase in weekly collection by Rs. 1,05,000

That is this increase denotes for all 7 days.

=> Gross Collection increase per day = Rs. 1,05,0007 = Rs. 15,000

Hence, the gross collection increase per day = Rs. 15,000.