Analyst Questions

Mathematics is the theory of numbers and history is the theory of past events.

Hence Mathematics : Numbers :: History : Events.

$$\begin{gathered} 2211 x 75 x 112 \\ => 222 x 75 x 112 \end{gathered}$$

 Total number of prime factors is (22+5+2) = 29

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.

Thomas cup is associated with Badminton. It is a competition among teams representing member nations of the Badminton World Federation (BWF).

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability = 

$$\begin{gathered} 5C214C2 + 3C214C2 \\ = 1091 + 391 \\ = 1391 \\ = 17 \end{gathered}$$

Time taken by both Meghana and Ganesh to work together is given by =

t1 x t2

Where

$$\begin{gathered} t1 = 32 hrs \\ t2 = 12 12 hrs = 252 hrs \end{gathered}$$

Therefore, time took by both to work together = 

32 x 252 = 16 x 25 = 4 x 5 = 20 hrs

When a muscle is contracted and relaxed some amount of heat is released as a by product. 

We know the formula for calculating

The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time

Here P = 5000, r1 = 10, r2 = 20

Then $$\begin{gathered} C = 65001 + 101002 x 1 + 201002 - 1 \\ = 6500 x 18562500 \\ = 65 x 185625 \end{gathered}$$

C = Rs. 4826.