Official Quants Group|CAT:2019|MBA:2020-2022

We know that angle BAC and angle BCA is 45.

You can think of 2 sectors now = 2*(45/360)*pie*r^2 where r=4

= 4*pie

Now these 2 sectors contain 2 unshaded parts and shaded part twice,

So

4*pie = unshaded area + 2*shaded area

ie 4*pie =( unshaded area + shaded area) + shaded area

ie, 4*pie =area of triangle + shaded area 

4*pie =1/2 * 4 * 4 + shaded area 

shaded area = 4*pie - 8

Got it?

@mayur_arora Yes bro, got it.

Thanks a lot bro

24?

If the sum of scores of A and B is an even no. Then there can be 2 cases 1.A and B both have a even score 2.A and B both have an odd score the total no. Of scores that A can get are 36 , just write them and check how many of them are unique/non repeating(Score of A=Score on Dice 1* Score on Dice 2).It came out to be 24 in this case.Got it?

@mayur_arora Sir

@Amarrajput17 

@mayur_arora sir, please help

@DreamerIIMC Let's consider N^2

Number of factors of a perfect square is odd 

And we know that odd+odd = 34 

Hence we are sure that N is also a perfect square as it has odd number of factors.

Now we know that N<150, Hence only possible values are 1,4,9,16,25,36,49,64,81,100,121,144

You have 12 numbers to check, do that manually. :D

The only values of N which would satisfy would be 36 and 100. 

All the best champ.

@mayur_arora Congratulations bro, All the very best bro

@DreamerIIMC Thanks dude!!

Seems nobody solving posted questions

@DreamerIIMC Yes sir!!!!!!!!!!

@Amarrajput17

@Amarrajput17

Pic is not clear bro