Quant by Arun Sharma

MBA CAT 2024
5506
@Fuhgetaboutit said: How ?
use 1/2 BH find H by 15/sqrt(3^2+4^2)= 3 length of perpendicular frm origin to a line
now find B by pythagorus.......u will get 12sqrt2
rest u knw..............
5507
@Fuhgetaboutit said: But O is not the origin. It is not given in the question.
i assumed it.......what else could it be?????????????
5508

GREAT BOOK !!

5509
@Fuhgetaboutit said: @mickym Is it possible to find out without any assumptions
Well i can't find any other way??? hope others can..
by the way , what's the ans given in book.......does it matches with mine??
5510
@sputnik said: guys another one from logs: lod2,2;430:If log 3=.4771, find log(.81)^2*log(27/10)^2/3 / log 9.
when log3 given find log.81 as log(81/100) = 4log3-2log10 etc. log10 is always 1 again for log9 you do 2log3 etc. rest is calculation .
@mickym said:
i assumed it.......what else could it be?????????????
O has to origin here if I go by convention lest sum can't be solved .
@Fuhgetaboutit said: P(3,1) Q(6,5) and R(x,y) are three points such that the angle PRQ is a right angle and the Area of Triangle PRQ is 7. The number of such points R that are possible is ?
2 points maybe..as we can consider p Q to be diameter of the circle & r be any point on circumference then there must be one more point dia. opp. to the r on the same circle which'll have the same area 7 .........plz check and revert back.
5511

How many integer values of x and y are there such that 4x+7y=3, while |x|1. 144
2. 141
3. 143
4. 142


I solved and got 142... But the ans given in the book is 143.. Can anyone please solve this??

5512
@neerajagayatri said: How many integer values of x and y are there such that 4x+7y=3, while |x| 1. 144 2. 141 3. 143 4. 142I solved and got 142... But the ans given in the book is 143.. Can anyone please solve this??
Check with X ...
take a valid value of x..can be 3/4 (y = 0 then)...Now 3/4 + (n-1).7
Same for the other side: 3/4 + (n-1).(-7) > -500 Again 72 values....But we have taken 3/4 twice..so No of pairs 72+72-1 = 143..Isn't it?
Am I missing something ???

5513
Posting with the intention of helping you all..

I have compiled a Quant book which contains some 1000 good questions and concepts of Quant from TIME and CAT. wanted to share this with all but size is too much and am unable to upload it here. If anyone requires,can PM me.I repeat that no email id should be posted here and request should be by message with an email ... .
Posting here to help maximum puys..Hope not violating any rule..
5514
@Nil253259 said:
Check with X ...
take a valid value of x..can be 3/4 (y = 0 then)...Now 3/4 + (n-1).7
Same for the other side: 3/4 + (n-1).(-7) > -500 Again 72 values....But we have taken 3/4 twice..so No of pairs 72+72-1 = 143..Isn't it?
Am I missing something ???
en multiple of
Since they mentioned it as integer values i have started with x as -1 na y as 1... now for every odd multiple of 7 we find an even multiple of 4 which is 3 more than the multiple of 7... we find 71 such values of x and 71 values of y.. so total 142..

In the solution which u gave ... can u please tell me how u deduced this equstion?? " 3/4 + (n-1).7
5515

20 workers can finish a piece of work in 30 days.After how many days should 5 workers leave the job so that the work is completed in 35 days?

a)5 days b)10days c)15days d)25days e)20days
plz tell me the approach
5516

an engineer undertakes a project to build a road 15km long in 300 days and employs 45 men for the purpose.After 100 days,he finds only 2.5 km of the road has been completed.Find the approx number of extra men he must employ to finish the work in time.

a)43
b)45
c)55
d)68
e)60
plz tell me the approach
5517

Apurva can do a piece of work in 12 days.Apurva and Amit complete the work together and were paid rs.54 and rs.81 respectively.How many days must they have taken to complete the work together?

5518

raju is twice as good as vijay.together,they finish the work in 14 days.in how many days can vijay alone do the same work?

approach plz.
5519
@neerajagayatri said:
en multiple of Since they mentioned it as integer values i have started with x as -1 na y as 1... now for every odd multiple of 7 we find an even multiple of 4 which is 3 more than the multiple of 7... we find 71 such values of x and 71 values of y.. so total 142..In the solution which u gave ... can u please tell me how u deduced this equstion?? " 3/4 + (n-1).7
Oh...sorry ..miss the integer part...So you can take 1st value of X as 1...
Eqtn now: 1 + (n-1).7
Correct me if I am wrong..Answer will be same 143
5520
@rk90 said: Apurva can do a piece of work in 12 days.Apurva and Amit complete the work together and were paid rs.54 and rs.81 respectively.How many days must they have taken to complete the work together?
answer 4.8???
5521
@rk90 said: Apurva can do a piece of work in 12 days.Apurva and Amit complete the work together and were paid rs.54 and rs.81 respectively.How many days must they have taken to complete the work together?
answer 4.8???
5522

@[547012:Nil253259]:yes.hw?i guess itz really simple.bt still cant gt it.plz explain.

5523

@[547012:Nil253259]:yes.hw?i guess itz really simple.bt still cant gt it.plz explain.

5524
@rk90 said: @Nil253259:yes.hw?i guess itz really simple.bt still cant gt it.plz explain.
bhai Let Amit complete his work in x days if he works alone

Now when both of them work together to complete the entire job ,amounts will be split based on the ratio of inverse of the time that each can complete work alone

i.e amounts should be divided in ratio 1/12 : 1/x => 1:12/x

So , (1/ (1+12/x))*135=54 solving which x=8 days

So 12*8/20=4.8 days


5525

Answer is 15 days.

Approach : -

total work is done in 20 x 30 = 600 man days

You need to form a linear equation now.

Let the number of days twenty workers work together is x

From here equation goes like this : -

20x + (35-x)15 = 600

solving the above equation, you get x equal to 15.

@rk90 said: 20 workers can finish a piece of work in 30 days.After how many days should 5 workers leave the job so that the work is completed in 35 days?
a)5 days b)10days c)15days d)25days e)20days
plz tell me the approach