Official Quant thread for CAT 2013

@realslimshady said:
How long is the side of the largest equilateral triangle that can be inscribed in a square whose side has length 1?A. 1B. √5/2C. 3√5/4D. 2-√3E. √(8-4√3)Please show your approach.
Last one. How to show approach? Ganda figure banaya...

regards
scrabbler

@maroof10 said:
A bartender stole champagne frm a bottle that contained 50% of spirit and he replaced what he had stolen with champagne having 20% spirit. The bottle then contain only 25% spirit.How much of the bottle did he steal?1>80% 2>83.33% 3>85.71% 4>88.88%
5/6 ---> 83.33 % ?
@scrabbler
I expected you to answer this one as well. :P
Please if you can to photo click krk ya paint mein bnake share krdo.
Ya kuch idea dedo kya approach use ki hai, baaki main krk dekh lunga.
I'm just stuck, can't figure out a way to approach this question. I hate geometry :/
@scrabbler said:
Last one. How to show approach? Ganda figure banaya...regardsscrabbler
i guess this can be answered going by the options.. the diagonal of the square cant be the side of a equilateral triangle inscribed in a square so side
also side of 1 is very much possible
so the side has to be between 1 and 1.414 and the only option satisfying it is (B). is the answer correct?
@realslimshady said:
How long is the side of the largest equilateral triangle that can be inscribed in a square whose side has length 1?A. 1B. √5/2C. 3√5/4D. 2-√3E. √(8-4√3)Please show your approach.


solve it like this i guess....rest i am not sure...i am also way beyond redemption when it comes to geometry...
@bs0409 said:
OA-25.........a,b,c are positive real numbers and a^2+b^2+C^2=48find the maximum value of a+b+c???
(a^2 + b^2 + c^2)(1 + 1 + 1) >= (a + b + c)^2
(a + b + c)^2
a + b + c
If 1!2!3!4!5!....49! =180^k *m where k and m are natural numbers and m is not a multiple of 5. Find the value of k??
@realslimshady said:
@scrabblerI expected you to answer this one as well. Please if you can to photo click krk ya paint mein bnake share krdo.Ya kuch idea dedo kya approach use ki hai, baaki main krk dekh lunga.I'm just stuck, can't figure out a way to approach this question. I hate geometry :/
Try this. I am hopeless in paint 😛 Word zindabad!

regards
scrabbler

@iLoveTorres said:
ans 12?
@Logrhythm said:
48*3 >= (a+b+c)^2(a+b+c) =
@mailtoankit said:
(a^2 + b^2 + c^2)(1 + 1 + 1) >= (a + b + c)^2(a + b + c)^2 a + b + c

OA-12

A triangle is divided into four partsby two straight lines from two corners. the areas of three parts are 8 , 5 , 10..find the area of fourth part

@iLoveTorres
The correct answer is E.
I did like your approach, but not very precise when it comes to such calculation based options.

@Logrhythm @scrabbler
I am leaving this and starting a movie.
Will try this approach tomorrow, with a fresh mind.
Just another bad day. I seriously hate geometry

Thanks for your help though! 😁
@bs0409 said:
A triangle is divided into four partsby two straight lines from two corners. the areas of three parts are 8 , 5 , 10..find the area of fourth part
Not unique...Multiple possible solutions....depends which parts are 5, 8, and 10. Tried two combos, got answers 22 and 775/7 :P

regards
scrabbler

@bs0409 said:
OA-12A triangle is divided into four partsby two straight lines from two corners. the areas of three parts are 8 , 5 , 10..find the area of fourth part
7?
ram wrote first 50 natural numbers on a black board.Then he erased two numbers say
p and q ,and replaced them by a single number N,he performed this operation repeatedly
until a single number was left.For all odd values of n,in nth operation,he choose N to be
p+q+1,and for all even values of n he choose N to be p+q-1,find the final number which
remained


find the remainder when 6^65^56 is divided by 43.
@realslimshady said:
@iLoveTorresThe correct answer is E. I did like your approach, but not very precise when it comes to such calculation based options.
It works pretty often 😛 I also started with same approach but 2 answers matched 😛 So had to solve properly!

regards
scrabbler

@nole said:
ram wrote first 50 natural numbers on a black board.Then he erased two numbers sayp and q ,and replaced them by a single number N,he performed this operation repeatedlyuntil a single number was left.For all odd values of n,in nth operation,he choose N to bep+q+1,and for all even values of n he choose N to be p+q-1,find the final number whichremainedfind the remainder when 6^65^56 is divided by 43.
What is n?

regards
scrabbler

@scrabbler i think n is first 50 natural numbers.
@nole said:
@scrabbler i think n is first 50 natural numbers.
No, it must be something else, like maybe the step number or something, as it has both odd and even values. Just want to confirm since it is not clarified.

regards
scrabbler

@nole said:
ram wrote first 50 natural numbers on a black board.Then he erased two numbers sayp and q ,and replaced them by a single number N,he performed this operation repeatedlyuntil a single number was left.For all odd values of n,in nth operation,he choose N to bep+q+1,and for all even values of n he choose N to be p+q-1,find the final number whichremained

1276 I guess.

He will basically be adding all the numbers. Also it will take 49 operations, in 25 of which he is doing a +1 and 24 mein -1 so overall effect is just +1.

So summation(50) + 1 = 50 * 51 / 2 + 1 = 1276.

regards
scrabbler

@scrabbler said:
Last one. How to show approach? Ganda figure banaya...regardsscrabbler
sir, do ans aa rahe hai...rt(8+4rt3) and rt(8-4rt3)...to first one nahi hona chahiye??