There are 7 thieves..

They steal diamonds from diamond merchant & run away in jungle..

While running, night sets in & they decide to rest in jungle..

When everybody's asleep two of them who r closest frnds get up & decide to divide the diamonds among them & run away..

So they start distributing bt they found that one diamond was extra..

So they decide to wake up 3rd one & divide diamonds ägäin.. Only to their surprise they stil find one diamond extra..

So they decide to wake up fourth..

Ägäin one diamond is spare..

5th woken up.. Stil one extra!!

6th.. Stil one extra..

Now they wake up 7th one & diamonds are distributed equally..

How many diamonds in total did they steal??

• in short we are ask to find the number which gives,
  remainder=1 if x/2
  remainder=1 if x/3
  remainder=1 if x/4
  remainder=1 if x/5
  remainder=1 if x/6
  remainder=0 if x/7
  which implies the number is divisible by 2*3*4*5*6=720
  and the number is 720+1=721
• 11 years agoHelpfull: Yes(28) No(13)
• clearly it is one more than the lcm of 2,3,4,5 and 6 . the lcm is 60 but it does not satisfy the question. so we take multiples of 60 and add 1 to it. 301 satisfies the question. 301 is the answer.
• 11 years agoHelpfull: Yes(14) No(8)
• answer is 301
• 11 years agoHelpfull: Yes(6) No(5)
• Remainder should be 1 when dividing number with 2,3,4,5,6.
  This means (Number-1) should be divisible by 2,3,4,5,6.
  take LCM of 2,3,4,5,6 = 60
  Now ques reduces to find multiple of 60 such that adding 1 to it gives the number divisible by 7.
  60*2=300+1=301/7=43
  301 is the answer
  1 more hint- Number should be ending with 1 as when divided between 5 thieves 1 was remaining. And ending with 6 can't be true as 6 is multiple of 2.
• 11 years agoHelpfull: Yes(6) No(4)
• clearly take the lcm of 2,3,4,5,6 and we get it as 60.but it is not divisible by 7 so we have to find a multiple of 60 and add one so that it is divisble by 7
  ans is 300+1=301
  
• 11 years agoHelpfull: Yes(5) No(6)
• 7 diamonds
• 9 years agoHelpfull: Yes(0) No(1)