CMAT 2021 Slot 2

Angle exceeds by 45-18 =27
so value will be $$\frac{27}{360}\times\ 144,000$$= 10,800 billion$

Total angle of USA and France =81
Total angle of Japan, China, Russia and Hongkong =122.4
Now therefore total exports of USA and France as a percentage of the total exports of Japan, China, Russia and Hongkong:$$\frac{81}{122.4}\times\ 100=66.1764$$

Let $$x+4=y$$
So, the expression $$\frac{3\ \left(x+6\right)\left(x+12\right)}{2\left(x+4\right)}$$ equals $$\frac{3*(y+2)(y+8)}{2*y}$$
This equals $$\frac{3}{2} \times (y+16/y+10)$$
The minimum value of $$y+16/y$$ is 8 when $$y$$ equals 4
So, the minimum value of the expression is 3/2*18 = 27

The question appeared in CMAT 2021 Slot 2 and the question is incorrect . Marks were awarded to students.

The series is an infinite Geometric progression with first term as $$2\sqrt{\ 2}$$ and common ratio $$\sqrt{\ \frac{2}{3}}$$
Now we know that sum of an infinite geometric progression = $$\frac{a}{1-r}$$ where r is the common ratio and a is first term
so we get sum =$$\frac{2\sqrt{\ 2}}{1-\sqrt{\ \frac{2}{3}}}$$
                      =$$=\ \frac{2\sqrt{\ 6}}{\sqrt{\ 3}-\sqrt{\ 2}}$$
Rationalizing the denominator
we get :$$=\frac{2\sqrt{\ 6}\left(\sqrt{\ 3}+\sqrt{\ 2}\right)}{3-2}$$
= $$2\sqrt{\ 6}\left(\sqrt{\ 3}+\sqrt{\ 2}\right)$$

First letter is coded with the 2nd to the right of it in alphabet series 
2nd letter is coded with immediate previous letter
3rd letter with immediate previous letter
4th letter is coded with 2nd to the right of it in alphabet series
so KLMN will be coded as MKLP

P$Q means P is the father of Q 
Now Q#R will mean Q is mother of R
So we can say R's mother's father is P
So R is either Grand daughter or Grand son of P
Now R@S means R is brother of S so R is a male so R is grandson of P

Take 1st letter of all terms we get a series 
F,I,L,O,R we get next as U
Taking 2nd letter of all terms we again get a series with a pattern :
A,C,E,G,I so next will be K
so we get answer as UKR

We have The slip fielder can catch a ball, only if the batsman is brought to the front foot and he tries to hit the ball
Now going through options
A cannot be inferred
option can be termed as negation of statement and can be inferred

A chick is young chicken so we get piglet which is a young pig