Official Quant thread for CAT 2013

@rkshtsurana said:
@saurav205 ,@scrabblerans is rt(3/2) + 1..analyse as 3 unit sphers and the 4th one on top of it..thn their centres as terahedron..find height..and circumsphere..thn its radius..thda jyada hi high hgya yr..mjhe bhi nhi hua tha
Haan maine wohi kiya...tetrahedron ko analyse karne mein (circumradius) wat lag gayi but...

Bus when typing the answer missed the rt3...answer to mera same hi hai...after cancelling... :)

regards
scrabbler

@iLoveTorres said:
5?
@saurav205 said:
73 hai kya??
answer is 5... @viewpt bhai chk kar lena jab time mile...

e(76) = 36
so 93^72%76=1
or 93^2*93^70%76=1
or 61*x%76 = 1
so x = 5...
@scrabbler The crew of an 8 member rowing team is to be chosen from 12 men of which 3 must row on one side only and 2 must row on the other side only. Find the no. of ways of arranging the crew with 4 members on each side? cant this be solved as:- 7!/2!*1! * (4!)^2
@Logrhythm said:

93^70 % 76 find karke dekho...

61 ?

@rkshtsurana said:
@saurav205 ,@scrabblerans is rt(3/2) + 1..analyse as 3 unit sphers and the 4th one on top of it..thn their centres as terahedron..find height..and circumsphere..thn its radius..thda jyada hi high hgya yr..mjhe bhi nhi hua tha
I guess the 4th sphere which is on top of the other 3 will go in the depression that is present...thoda height mein offset nai aayega kya??
correct me if I am wrong about the depression thing...cause when i visualize the entire setting toh depression toh dikhta hai...
@Logrhythm said:
answer is 5... @viewpt bhai chk kar lena jab time mile...e(76) = 36so 93^72%76=1or 93^2*93^70%76=1or 61*x%76 = 1so x = 5...
yea has made a mistake...had taken the power as 80
so got 93^8/76 ka remainder
@ani6 said:
@scrabblerThe crew of an 8 member rowing team is to be chosen from 12 men of which 3 must row on one side only and 2 must row on the other side only. Find the no. of ways of arranging the crew with 4 members on each side? cant this be solved as:- 7!/2!*1! * (4!)^2
No...because then you are assuming all the 3+2 = 5 are selected


What I mean is, suppose we have Lefties, Righties and Neutrals. L, R and N for short.

We have 3 L, 2 R and 7 N.

Now what you are doing is :
Left side: LLLN
Right Side : RRNN

But it could also be something like:
Left side: LNNN
Right Side : RNNN

I just need to choose 4 people who can row Leftie and 4 who can row Rightie...so the ambidextrous all rounders can replace the one-sided folks...

Toh we will get lots of cases (I guess this is that Arun Sharma problem, I seem to remember 7 cases banake kiya tha kabhi to )

regards
scrabbler

@saurav205 said:
I guess the 4th sphere which is on top of the other 3 will go in the depression that is present...thoda height mein offset nai aayega kya??correct me if I am wrong about the depression thing...cause when i visualize the entire setting toh depression toh dikhta hai...
When I was visualising it depression ho raha tha :(

regards
scrabbler

@scrabbler thanks
@scrabbler thanks
@scrabbler said:
When I was visualising it depression ho raha tha regardsscrabbler
Mocking me???

Depression aayega ya nai yeh bata pahle?
P.S. : No pun intended...
@saurav205 said:
Mocking me???Depression aayega ya nai yeh bata pahle?P.S. : No pun intended...
Aayega, zaroor aayega....not mocking, seriously the figure had me fazed for a moment there...

regards
scrabbler

Volume of a right circular cylinder is 16 cubic meter. Find the dimension(r and h) that uses min material.

@maroof10 said:
Volume of a right circular cylinder is 16 cubic meter. Find the dimension(r and h) that uses min material.
I assume you mean hollow cylinder? Else all possible will use same amount of material...since volume to fixed hai...

regards
scrabbler

@scrabbler cylinder is closed at both end
@maroof10 said:
Volume of a right circular cylinder is 16 cubic meter. Find the dimension(r and h) that uses min material.
hollow cylinder??
@saurav205 closed at both end

No of integral sols of |x-3| + |y-5| =11

@amresh_maverick 265
Rohan writes all three-digit numbers of base 6, one below the other in an order. Find the number of times the digit '1' is used by Rohan.