AIEEE Questions

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Required number of 5 digit numbers can be formed by using the digits 1, 0, 2, 3, 5, 6 which are between 50000 and 60000 without repeating the digits are 

5 x 4 x 3 x 2 x 1 = 120.

The International Day of Happiness (known as Happiness Day) is celebrated throughout the world on the 20th of March. The International Day of Happiness was founded on June 28, 2012, by the United Nations General Assembly when all 193 member states unanimously adopted UN resolution 66/281.

It was celebrated for the first time in 2013.

Bogibeel bridge ( 4940 m ) is a combined road and rail bridge over the Brahmaputra river in the north eastern Indian state of Assam between Dhemaji district and Dibrugarh district.

NH - 44 covering Srinagar to Kanyakumari is the longest National Highway in India by the NHDP. It covers a distance of 3,745 Kms. It was previously known as NH - 7.

Replication of the DNA does not occur during Mitosis.

Colloids include gels, sols, and emulsions; the particles do not settle, and cannot be separated out by ordinary filtering or centrifuging like those in a suspension.

These Colloid substances consists of ultramicroscopic particles of one substance dispersed through another substance from which we cannot separate them.

Sugar water is not a colloid and it is a solution in which we can separate them.

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.

Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.

Therefore the given statement that 'Every rational number is an integer' is FALSE.