GATE Questions

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Given that x = 2+ 223 + 213

So x - 2 = 223 + 213

Now cubing on both sides, we get

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

Therefore, x3-6x2+6x = -6 + 8 = 2

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Factors of 5 are 1, 5

Factors of 11 are 1, 11

Factors of 21 are 1, 3, 7, 21

Factors of 37 are 1, 37.

Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.

River.

It always runs  or flows but never walks.

It will sound like murmuring but never talks.

It has bed but never sleeps.

It has mouth but never eats.

The process of collecting, organizing and analyzing data is called Statistics.

Inquilab Zindabad means "Long live the revolution!". The slogan Inquilab Zindabad was given by Hasrat Mohani.

Rafael Nadal defeated Daniil Medvedev in the men's singles title at the 2019 US Open. It was Nadal's 19th Grand Slam singles title, and fourth US Open title.

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> 3 x 1258 x 125 = 3751000 = 0.375

1/10 as a Decimal :

1 divided into 10 parts of each 0.1.

Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.