AIEEE Questions

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A sample of matter must be copper if each atom in the sample has 29 protons.

$$\begin{gathered} Given x × y = x + y + xy \\ Here x = 6 , y = 24 \\ Then, \\ x × y = 6 + 24 + 6x24 \\ 6 x 24 = 30 + 144 \\ = 30 + 12 \\ = 42. \end{gathered}$$

Divisibility rule for 24 is the number should be divisible by 3 and 8. As we know that 24 = 3 x 8

Now, 

Divisibility rule for 3 :

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

Divisibility rule for 8 :

The last three digits of a number should be divisible by 8.

Hence, check for the given options,

A) 37804 => 804 is not divible by 8.

C) 36718 => 718 is not divible by 8.

D) 53810 => 810 is not divible by 8.

B) 2015736 => 736 is divisble by 8 and sum 2 + 0 + 1 + 5 + 7 + 3 + 6 = 24 which is divisible by 3.

Hence, 2015736 is divisible by 24.

The act of formally approving something is known as Ratification.

Pinctada vulgaris is a bivalve from which pearl is obtained.

Kathak, Nauntanki, Jhora and Kajri are the important dances of Uttar Pradesh.

Top five most popular games world wide are :

Game name              -      Estimated  fans     -    Popular Regions

1. Soccer / Football      -      3.5 Billion    -     Europe, Africa, Asia, America

2. Cricket                    -      2.5 Billion     -    Asia, Australia, UK

3. Basketball               -      2.2 Billion     -    US, Canada, China and Philippines

4. Field Hockey           -       2 Billion       -     Europe, Africa, Asia, Australia

5. Tennis                    -       1 Billion       -     Europe, Americas, and Asia.

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.