@Seshank @Sanjay_s @anon83175304_lavesh @sonu_shaw @manan_uppadhyay @bubai_maity @Harish_R @Navjeet_Kohli @Utkarsh_Yadav @Pranay_Singh

Sorry i m bio studentâ€¦

No worries! Thanksâ€¦

bro the first question use standard limits bro if you donâ€™t get it then ill send you the solution

Perfecto!

2nd oneâ€¦any idea?

try kartha hun a bit held up now will try later

Sureâ€¦anytime! Thanks

Check the qn pls. I mean r=1 to r=_

Even I thought the same thingâ€¦maybe itâ€™s just hit and trial after thisđź‘‡

@Ankit_Kumar â€¦ Which option do you think is correctâ€¦?

Bhai koi bhi option match nhi kar RHA hđź¤”

For first i assumed x number of fours , y number of sixes and z number of dot balls

X+y+z=20 and 4x+6y=100

Solving we get y=10+2z and i just put random values for z until x,y,z doesnt exceed 20. Any other methods to solve this Q apart this?

For second please provide a short approach too ,

@manan_uppadhyay @LaveshGupta @Rudra_d @Aastik_Guru @Aswin24 @Cooljet123

EDIT: only ellipse one is left. The one thats not blurred. Please try.

@AshWin

For the first question: I didnâ€™t calculate but you may try this method. Since you found two equations you may add them to get one equation.

I took infinite series because there are no restrictions on the number of sixes, fours or dot balls.

For question 47 , i did this but getting wrong answer , please tell me my mistake

@Cooljet123 @LaveshGupta @Rudra_d

Edit: Doubt Solved.

There is , they have to be less than 20

Ok then restrict the terms. Sorry I didnâ€™t notice.

Bro! A coincidence ! I was solving the same paper in morning and doing the rest now and correctly you asked these!

Anyone please tell Q47 first , what mistake did i did there.

I may have done something wrong in area equations.