GATE Questions

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Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

Therefore, s + b = 5000 ... eqn (1)

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

Or 150s + 250b = 10,50,000 ... eqn (2)

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

2000 small packets were sold.

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

*  The Gulf of Mexico, bordered by the United States, Mexico, and the island nation of Cuba, is the worlds largest gulf.

*  It has a coastline of about 5,000 kilometers (3,100 miles).

*  The Gulf of Mexico is connected to the Atlantic Ocean by the Straits of Florida, between Cuba and the U.S. state of Florida.

*  It is largely surrounded by the North American continent.

The Chemical name of Gold is Aurum with symbol Au with atomic number 79 and a group 11 element. In its purest form, it is a bright, slightly reddish yellow, dense, soft, malleable, and ductile metal.

Chemically, gold is a transition metal.

When the European union formed nations began to cooperate on law enforcement. The European Union is set up with the aim of ending the frequent and bloody wars between neighbours, which culminated in the Second World War.

As of 1950, the European Coal and Steel Community begins to unite European countries economically and politically in order to secure lasting peace. The six founding countries are Belgium, France, Germany, Italy, Luxembourg and the Netherlands. The 1950s are dominated by a cold war between east and west.

The historical roots of the European Union lie in the Second World War. Europeans are determined to prevent such killing and destruction from ever happening again.