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It means how many points lie inside the circle. Any shortcuts for this one?

Post 42096947970781
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Don't know how to convert the LHS in a series.Can anyone explain?

Post 42094893266491
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Please help!!

Post 42080085825007
2 comments
mayur_arora
@mayur_arora  ·  8,208 karma

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?

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DreamerIIMC
@DreamerIIMC  ·  1 karma

@mayur_arora Yes bro, got it.

Thanks a lot bro

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Post 42064832752172
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IIM_Groot
@IIM_Groot  ·  0 karma

24?

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IIM_Groot
@IIM_Groot  ·  0 karma

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?

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Post 42051476131620
2 comments
DreamerIIMC
@DreamerIIMC  ·  1 karma
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DreamerIIMC
@DreamerIIMC  ·  1 karma
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Please help!!

Post 42050994904809
2 comments
DreamerIIMC
@DreamerIIMC  ·  1 karma

@mayur_arora sir, please help

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mayur_arora
@mayur_arora  ·  8,208 karma

@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.

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Post 42050657732252
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DreamerIIMC
@DreamerIIMC  ·  1 karma

@mayur_arora Congratulations bro, All the very best bro

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mayur_arora
@mayur_arora  ·  8,208 karma

@DreamerIIMC Thanks dude!!

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Any serious cat aspirants over here?

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DreamerIIMC
@DreamerIIMC  ·  1 karma

Seems nobody solving posted questions

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mayur_arora
@mayur_arora  ·  8,208 karma

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

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Post 41996385739058
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DreamerIIMC
@DreamerIIMC  ·  1 karma
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Post 41986199422002
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DreamerIIMC
@DreamerIIMC  ·  1 karma
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Kunal23098
@Kunal23098  ·  1 karma

Pic is not clear bro

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