Official Quant thread for CAT 2013

MBA CAT 2024
28425
@albiesriram said:
Numbers are of the form = 2n+1

Each row contains equivalent numbers ....2 in 2nd row, 3 in 3rd row...
so by the time 80th row we would have had = 1+2+3+4...80 = 80*81/2 = 3240 numbers..

and the last number would be the 3240th term =>

number = 2n+1 = 2*(3240-1) +1 = 6479 ( since for the first term, n=0 and henceforth)

p.s: just incase you don't find the pattern of the last digits alone 😃
28426
@psk.becks said:
@techgeek2050Ramesh bought a total of 6 fruits (apples and oranges) from the market. He found that he required one orange less to extract the same quantity of juice as extracted from apples. If Ramesh had used the same number of apples and oranges to make the blend, then which of the following correctly represents the percentage of apple juice in the blend?
a total of 6 fruits
3 apple 3 orange
let 3 apples gives 3 unit of juice
so 2 oranges give 3 units which means 1 orange gives 1.5
so total juice 3+3*1.5=7.5
ratio of apple juice = 3*100/7.5 = 40%
28427
@kunjesh said:
Q) what is the reminder when 56! is divided by 57?
Zero
28428
@abhishek.2011 said:
for first m =1
no :(
28429
@albiesriram said:
for second i am getting this equation in mind, appologies going home from office
x^2 + 4x +5
as lhs is always positive coz d0
so none
still if wrong spare me doing without pen
28430
@albiesriram said:
sorry as u asked sum so m = 1 and 1/4 so sum 5/4
28431
@albiesriram

Q-1) The equation becomes => 8m^3 -10m^2 + 2m = 0

=> 2m(4m^2-5m+1) = 0

=> sum of roots = 0 + 5/4 = 5/4


28432
@abhishek.2011 said:
a total of 6 fruits3 apple 3 orangelet 3 apples gives 3 unit of juiceso 2 oranges give 3 units which means 1 orange gives 1.5so total juice 3+3*1.5=7.5ratio of apple juice = 3*100/7.5 = 40%
it is asked if he had used the same number of apples and oranges then the %age of apple juice in the blend is to be found. But initially i guess he didn't use equal number of apples and oranges.

28433
@techgeek2050 said:
it is asked if he had used the same number of apples and oranges then the %age of apple juice in the blend is to be found. But initially i guess he didn't use equal number of apples and oranges.
bhai this one is this years xat question i did it right there in the exam this is the same logic i used in the exam hall
28434
@techgeek2050 said:
it is asked if he had used the same number of apples and oranges then the %age of apple juice in the blend is to be found. But initially i guess he didn't use equal number of apples and oranges.
That's why I am still unsure whether I was right on that day or not! :splat: Mystery beckons it seems!
28435
@abhishek.2011 said:

yeah, ok. oa is d btw. u can try when u find time .
28436
@abhishek.2011 said:
bhai this one is this years xat question i did it right there in the exam this is the same logic i used in the exam hall
haan bhai i know , this was in xat this year. But i dunno the oa. @ScareCrow28 bhai got a different answer so i had some confusion. the language of the question can be interpreted in two ways i think.


28437
@albiesriram said:
yeah, ok. oa is d btw. u can try when u find time .
which oa are u talking about ??
28438
@techgeek2050 said:
haan bhai i know , this was in xat this year. But i dunno the oa. @ScareCrow28 bhai got a different answer so i had some confusion. the language of the question can be interpreted in two ways i think.
bhai i am sure answer is 40%
me and my frnd were arguing on this one after exam he marked it as 33.33% and i marked it 40%.after test funda key the answer came out as 40%, so i guess according to my memory(if u think it is atleast reliable) it is 40% 😛
28439
@albiesriram

Q-2)

only 2 cases possible,

Case 1) both positive and (x+1)/(x+2) >= (x+3)

=> x^2 + 4x+5

Case 2) 0

=> x >-1 and x>-7/3 => x>-1

but for 0 x is (-3,1) even the RHS is negative

so for all values of x>1 the exp is valid (LHS is negative and RHS positive )

i.e none of the options satisfy 😃
28440
@abhishek.2011 said:
bhai i am sure answer is 40%me and my frnd were arguing on this one after exam he marked it as 33.33% and i marked it 40%.after test funda key the answer came out as 40%, so i guess according to my memory(if u think it is atleast reliable) it is 40%
But, diff answers are possible, you have to agree! ?? Language is ambiguous, isn't it?
28441
@abhishek.2011 said:
bhai i am sure answer is 40%me and my frnd were arguing on this one after exam he marked it as 33.33% and i marked it 40%.after test funda key the answer came out as 40%, so i guess according to my memory(if u think it is atleast reliable) it is 40%
bhai 40% is not in the options.
Then u must have marked "none of these."

28442
@ScareCrow28 said:
But, diff answers are possible, you have to agree! ?? Language is ambiguous, isn't it?
ya bro language is ambiguous
28443
@abhishek.2011 Your answer was 40% ?? Then you must have marked none of these??
28444
6 Bangles each of 4cm in diameter,what is the minimum diameter of plate required so that each bangles are kept without overlapping(bangles touching each other)?

p.s:don't have oa.answer with a solution shall be appreciated.