# good problems in quant

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Q1

in a temple there are some bells which tolls 18 times in a day,simultaneously.But every bell tolls at a different interval of time,but not in fraction of minutes.the maximum no. of bells can be

a-18

b-10

c-24

d-6

Q2 A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum no. of 'n' cuts.if he wants to maximize the no. of identical pieces making same no. of cuts to it.the max. no. of such pieces are.

a-1000

b-1331

c-1200

d-none of above

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very bell tolls at a different interval of time,but not in fraction of minutes.

Total time = 3600 x 24

Let s consider there are n number of bells and all starts at a particular time(say 12PM) and the interval is 1 min. , 2 min. and  . . . . . n minutes

Then all 'll ring at a time which is the LCM of (1, 2 , 3. . . . n)

and that time gap should be less than (3600 x 24 )/18 = 4800

LCM of (1, 2, 3. . . . n) ≤ 4800

=> n = 10

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A diamond expert cuts a huge

A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum no. of 'n' cuts

There are many ways in cutting a cubical diamond into 960 identical pieces ( 2 x 48 x 10 , 6 x 10 x 16 . . . .etc)

But for minimum number of cuts it should be done as

960 =  12 x 8 x 10 (pieces)

To get N pieces we make N-1 cuts

so number of cuts in above case : 11 x 7 x  9  i. e 27 cuts altogether

Now to get maximum number of diamonds out of 27 cuts we have to  make 9 cuts in all length , breadth and width wise.

So total number of pieces = 10 x 10 x 10 = 1000

neel (not verified)
Q2 ... doubt???

Hi Secondarsha.....

In Q2) Y have u only taken  960 =  12 x 8 x 10 (pieces)....y nt other values as u said 960 can be broken down into other values as well...plz explain !!!!

HEY... guys kan ne1 tell me y it is showing my status as "not verified"???????????

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I was wondering why you post

I was wondering why you post so many messages w/o login into the site.

HEY... guys kan ne1 tell me y it is showing my status as "not verified"???????????

Because you are posting the messages as an Incognito but not as a registered member.
You can register @ http://www.cat4mba.com/user/register also
Being a registered member you ‘ll get the access to many stuffs, which are not available for visitors.

In Q2) Y have u only taken  960 =  12 x 8 x 10 (pieces)....y nt other values as u said 960 can be broken down into other values as well...plz explain !!!!

Because in the question

A diamond expert cuts a huge cubical diamond into 960 identical diamond pieces in minimum no. of 'n' cuts

Number of cuts is mentioned as minimum and that happens for 960 =  12 x 8 x 10 (pieces)....

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dear secondharsa

plz tell me the concept of getting min. no. of cuts for 960 as 12*8*10 more elaborately.whether u have used some techniqe or by hit and trial method.plz also explain the same concept of getting 27 as 9*9*9.

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I think the maximum value

I think the maximum value (product) of a number 3X = X3   when X is not equal to 1

For example for 3X = 6 =  1 + 2 + 3 product 6

= 2 + 2 + 2  product 8

for 3X = 9 = 1 + 2 + 6 product 12

= 1 + 3 + 5 product 15

= 1 + 4 + 4 product 16

= 2 + 3 + 4 product 24

= 3 + 3 + 3 product 27

And mark the product increases when move towards X (3 here)

Hope it clears everything

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hii

secondharsa broo....could u plzz throw some light on question no 1...i am unable to undersatnd

regards...

jaGz

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I would love to explain if

I would love to explain if you can tell me where exactly you are facing the problem

Please read the question and all the comments once again and let me know where is the difficulty.

Some times reading twice/thrice helps us in understaning things clearly.

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hii

broo...GOT  ITt....first tym i didnt read it carefully...

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