Suman 13 years AGO

I fully agree with the logic given by Mr. Kewal.

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Suman 13 years AGO

I have earlier stated that due weightage should be given to time and investment but do not make it irrelevant by dividing each ratio by 0.6 and 0.4 to make it of equal importance(50:50) which is not correct in this case.

Your argument and answer holds good if weightage is 50% for investment and time.

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Suman 13 years AGO

Dear Admin,

As per qn.

60% weightage is given to investment and 40% weightage is given to time.

In that case
ratio of profit (for investment of 0, 1, 4, 5 lacs and time same( 3 hrs) for all)will be

(0*0.6 +3*0.4 ): (1*0.6+3*0.4):(4*0.6+3*0.4):(5*0.6+3*0.4) or 1.2 :1.8 :3.6 :4.2
or
2:3:6:7

Due weightage to time must be given as per qn.

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Trav 13 years AGO

From Texas:
This is a very enlightening web site. I also enjoy the fact that so far, I have not seen the rudeness that one finds on US sites. I'm 65 years old, an old Submarine Sailor, and way back when, we were taught to be polite to everyone. Refreshing indeed.

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Trav 13 years AGO

How do I make comments for answers to a puzzle that I submitted without using the solution function. For example, I modified the Houses in Oz question (base 6), and there was an answer in base 8 ( which was right for base 8).

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Trav 13 years AGO

Also, why does that verify tab open if I am verified.

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Trav 13 years AGO

I am not able to use the get file button to activate (it's dimmed) when I use the edit picture option. Help me Mr. Wizard.

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~Sandeep~ 13 years AGO

I totally agree with you Suman ... hope & wish that question would be more logical in coming days.

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Suman 13 years AGO

@Sandeep,

I am trying to make that point.
Due to this regular problem, I have not answered that qn.

One should take the discussion in right spirit.

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~Sandeep~ 13 years AGO

@ Suman - Many a times the logic behind the questions being asked here is beyond our understanding. Personally I feel mathematics problems are more appealing when they are logical, sensible and complex.

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Suman 13 years AGO

Thanks, PP Singh for telling fact of life.

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Suman 13 years AGO

Time is important but time of each person is equally important.

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Suman 13 years AGO

When everyone has worked for same hours per day, then ratio of profit distribution must be same as the ratio of investment of each person.

How the profit ratio can be changed from 1:13 to 1:7 when they worked for equal hrs per day?

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Pargat Pal Singh 13 years AGO

@ Suman,

When everyone thinks alike, No one thinks much.

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Suman 13 years AGO

Dear Admin,

If your logic is accepted , it will result in chaos in partenership plans of businessmen.
consider this example

If the four persons invested in the ratio of 1:5:9:13
and every one worked for 3 hours in a day,
then the profits will be distributed in the ratio of
(1+3):(5+3):(9+3):(13+3) or 4:8:12:16 or
1:2:3:4

when the fourth person has invested 13 times the amount invested by first persons and worked for same (3 ) hrs, but he will get profit 4 times only
which is not correct.

Pls think again.

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Amar 13 years AGO

DEar Admin,

Pls check yesterday puzzle sol.

effective investment ratio = 0.6:0.6:1.2:3.0 = 6:6:12:30 = 1:1:2:5
effective time ratio = 3.2:2.4:1.6:1.2 = 32:24:16:12 = 8:6:4:3

so according to the given condition profit ratio = 9:7:6:8

After multiplying ratios with 0.6 in first case and 0.4 in second case, you have divided the ratios by 0.6 and 0.4
to get ratios as 1:1:2:5 and 8:6:4:3 which are initial ratios of investment and working hours without any consideration of different priority/importance/weightage of 0.6:0.4.

so answer given is not correct.

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kewal 13 years AGO

I think solution given for yesterday puzzle is not correct.

This result is valid if
If output depends 50% on the investment and 50 % on work hours

and not

If output depends 60% on the investment and 40 % on work hours

which is given statement.

effective investment ratio = 0.6:0.6:1.2:3.0 =
effective time ratio = 3.2:2.4:1.6:1.2

In this case, profit ratio will be
3.8:3.0:2.8:4.2
or
19:15:14:21

which is none of given options.

As per your solution , you have given equal weightage to investment and working hours.

If you think my interpretation is wrong, then can anyone give the profit ratio when there is equal weightage for investment and working hours?

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~Sandeep~ 13 years AGO

Agree with Manish, Vigesh and Virendra.

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manish kumar 13 years AGO

improve the quality of questions .the question is asked on 29/3/2012 is the worst question i have ever seen stop asking non sense
questions plz.

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Anil 13 years AGO

this is very helpful site

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Virendra Sihag 13 years AGO

Please improve the level of the questions which asked everyday.

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~Sandeep~ 13 years AGO

@Atwal: Thanks for being like-minded.
On a funny note:
I have altogether started looking at the wheels in a different way now, they no longer revolve for me, they just skid so as to ensure a liner motion ;). Would suggest you to change your view too.
#ApologiesInAdvance

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Atwal 13 years AGO

I think Sandeep is right.

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srinivas 13 years AGO

it is good to all who are prepare for written exams....

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~Sandeep~ 13 years AGO

The question talks about speed of wheel (velocity and speed are different). Speed of wheel in general is measured by revolutions per minute . I am no longer bothered about points and all, but its expected that all the puzzles should be clear enough to arrive to a common solution by all members.

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~Sandeep~ 13 years AGO

Dear Admin,
Thanks for the response!

I will try to put my reasoning in simple words, as per the general notion speed of wheel can be measured in revolutions/second or revolutions per minute. Wikipedia link:
http://en.wikipedia.org/wiki/Specific_speed

Assuming speed of both wheels are V revolutions per minute and given that Radius of first wheel is 10cm & 2nd wheel is 20cm

Distance traveled by 1st wheel in one revolution = 2*pi*r = = 2*pi*10 cm = 20*pi cm

Number of revolution made by wheel 10 minutes =
10minute*V*revolutions/minute = 10V revolutions

Distance travelled by 1st wheel in 10 minutes = Number of revolution made by 1st wheel in 10 minutes * Distance traveled by 1st wheel in one revolution = 10V*20*Pi = 200V*Pi

In one revolution 2nd wheel will travel = 2*pi*R = 40*pi cm
Speed of 2nd Wheel is also V revolutions per minute

Assume Number of revolutions taken by 2nd wheel to travel 200*V*Pi cm distance is N
Hence N*2*pi*R = 200*V*Pi
putting R=20 we get N = 5V revolutions

Time taken by 2nd wheel to make 5V revolutions= Distance/ Speed = 5V Revolutions/ (V Revolutions/Minute) = 5 Minutes

Again it was not mentioned in the puzzle that speed is in meter per second.

Sandeep.

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~Sandeep~ 13 years AGO

Dear Admin,

Regarding Todays Puzzle of 14th March 2012 have following query confusion:
In general speed of wheel is mesaured in revolutions per minute or per second.
1st wheel's speed is v rpm and radius is R , the distance covered by it per minute = 2*Pi*R*v = S
Also 2nd wheel's speed is v rpm and radius is 2R , the distance covered by it it per minute = 2*Pi*2R*v =2S
Hence to cover S distance the larger wheel(2R Radius) would take half the time than the smaller wheel(R Radius).

Please clarify if my understanding or approach is incorrect.
Sandeep.

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vikash kumar 13 years AGO

multiplication rule for any no. multiple of 5 with any number.
first of all take examples like 25=5^2 ,125=5^3 ,625=5^4 etc now take the same power as 5 but this time on base 2 respectively.i.e for 25 it will be 2^2 ,for 125 it will be 2^3,for 625 it will be 2^4
now put same no of zeroes as the power of 5 on the given no.(whose multiplication with the multiple of 5 is required) and divide this no. by the calculated power value of 2 .now you will get the required answer.try it

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PANKAJ GUPTA 13 years AGO

please sent me divison short trick for math puspose

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Mike 13 years AGO

(a+b)4= a4+b4+4a3b+4ab3+2a2b2

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~Sandeep~ 13 years AGO

@Mario - ^ means power
Example 3^2 means 3 to the power of 2 = 9

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Mario Downer 13 years AGO

Can someone please tell me what is ^.

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Amar 13 years AGO

Happy holi to all.

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DIPIN 13 years AGO

Good observation, Jeevan..


I was lucky (along with other few lucky members ) that I missed that mistake and gave answer as per expectation of administrator.

But definitely answer should have been
none of these.

If it is a puzzle , that needs to be solved like a puzzle ( as given on site) not like general mathematical qn / solved example of a book with predetermined answer.

Hard luck for members taking the qn in 'right' spirit!

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Jeevan 13 years AGO

Pls check statement of yesterday puzzle

if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite


then x^2 + x = ?


As per given statement , x= 4/1 + ...

\means x>4 , in that case
x^2+x

will be definitely greater than 20
.

so none of these.


If u mean that there is printing mistake in question as usual, then it is just murder of maths at this site.

In that case answer for previous puzzle needs rethinking if you do not know where to put the bracket for right qn..


The given answer as 4 is correct only for statement

if x = 4/(1+(4/(1+(4/(1+(4/(1+(4 ........))))00000......upto infinite
then x^2 + x = ?

and
not
if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite
then x^2 + x = ?

Please check carefully .

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Vignesh 13 years AGO

Dear Admin,

There is lot of puzzles in queue which not verified by you, after submit correct solution by us. Please concern that all. It is useful for us. And it is also improvize the standard of our website by getting day to day response for our Solutions from You..

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~Sandeep~ 13 years AGO

@Pushpendra answer for the probability question is 53/80
Reason:
There is 2/5 chance that A is alive, so there's a 3/5 chance he's dead within 30 years. There's a 7/16 chance that B is alive, so there's a 9/16 chance he's dead within 30 years.
Thus Probability that both of them would be dead in 30 years = 3/5 x 9/16 = 27/80
Probability that at least one of these persons will be alive 30 years = 1-27/80 = 53/80

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Mahesh 13 years AGO

When actual time is 8PM, watch will display
(8:00- 0:(12/2)) = 7:54 PM

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Sulekha 13 years AGO

@ Jane,

For each hour an watch is going slow by 30 seconds. Now time is
8a.m.What will be the actual time at 8p.m.

What is ur qn please.

whether

What will be the display time when actual time is 8p.m

or
What will be the actual time when watch displays 8p.m

Pls confirm.

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Pargat Pal Singh 13 years AGO

Good job, sandeep.

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~Sandeep~ 13 years AGO

@ Vinod: Answer is 1.375
Reason:
Volume of cylinder = pi*H*R^2
Volume1/Volume2 = H1*R1^2/H2*R2^2
(R1/R2)^2 = (Volume1/Volume2)* (H2/H1)
=>R1/R2 = Square Root of [(Volume1/Volume2)* (H2/H1)]
Putting values as
Volume1 = 880, Volume2 = 640, H1= 72 & H2= 99
R1/R2= 1.375

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~Sandeep~ 13 years AGO

Also the winning order means that if a match is played between B and E and winning order is B>E, then B will win the match.

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~Sandeep~ 13 years AGO

@Aman: One question how did you conclude that "only" ABCD could reach final???
For example consider following two pools :
Pool 1 : ABCD
Pool 2 : EFGH
In the above case A and E will reach final.

Furthermore just considering the final two teams will not fetch you the right probability. We need to find out on possible combinations of teams in a pool using which A & B will reach finals. This will only happen when A and B are in different pools. Take following two cases.
Case:1 - A & B both reach finals
No. of ways to form two teams when A and B are in different pools (C anyways will not reach finals)= 6C3 = 20
Case:2: A reaches final but B doesn't
No. of ways to form two teams when A, B and C are in same pool (C will not reach finals in this case as well)= 5C1 = 5

In Case 2: A and B will not reach finals. Hence probability = 20/(20+5) = 4/5

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