CAT Questions

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Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

Therefore, last two digits of 2151415 is 51.

Oligarchy is a form of government in which the power rests with the small group of people.

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

The partition of the Indian subcontinent into India and Pakistan after World War-II along the ''Radcliffe line'' following the Indian Independence Act of 1947 was based on religion conflicts.

Pakistan was a Muslim-majority country, while India's population consisted mostly of Hindus. Originally, Pakistan was divided into two regions, East Pakistan and West Pakistan. However, East Pakistan won its independence in 1971, and is now called Bangladesh.

Internet is not an operating system.