Analyst Questions

If the Multiples for two or more numbers which are Common, then those Multiples are said to be Common Multiples. 

For Example :

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...

Multiples of 5 are 5, 10, 15, 20, 25, 30,...

Here common multiples of 3 & 5 upto 30 are 15, 30.

Here in the given options, Gold is a malleable substance.

Malleable substance means a metal or a material able to be hammered or pressed into shape without breaking or cracking. i.e, tensile.

To find the sum of first 10 prime numbers

First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Hence, The sum of the first 10 prime numbers is

(2+3+5+7+11+13+17+19+23+29) = 129 (ODD Number).

We know the Mathematical rules that

$$\begin{gathered} ++ = + \\ +- = - \\ -+ = - \\ -- = + \end{gathered}$$

23 chromosomes are in a human gamete.

Human somatic cells have 46 chromosomes(23 pairs) but a gamete(germ cell) gets half the amount, i.e. 23 chromosomes, (one from each pair). There will be half the number of chromosomes an organism has in its somatic cells (all other body cells except gametes).

For example in humans, the somatic cells contain 46 chromosomes which are the diploid number (2n) and each sperm and egg has 23 chromosomes where one of them is the sex chromosome.

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

Answer 1)  

1/3 x (54 x 150 + 60 x 300 + 36 x 450)

= 1/3 x 42300

= 14100.

Answer 2)

Required ratio of chairs = 64 x 450 + 56 x 50036 x 450 + 44 x 500

= 56800/38200

= 284/191.

Answer 3)

Required number of chairs =  35 x 12100 x 50000
= 3600.