1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? " /> 1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? " /> 1212\frac{1}{2} of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? " />

The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave
12
of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally?

  • 136
  • 225
  • 3640
  • 4None of these
Answer:- 1
Explanation:-

Solution:
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x((x2)+2)=1;Or,(x4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x4)2=16;Or,x=36Thethiefhasstolen36diamondsoriginally

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of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? ", "text": "The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave
12
of the diamonds he had then and 2 more besides. He escaped with one diamond. How many did he steal originally? ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "
Solution:
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x((x2)+2)=1;Or,(x4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x4)2=16;Or,x=36Thethiefhasstolen36diamondsoriginally
", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
At last thief is left with one diamond.Hence, the number of diamonds before he gave some diamonds to the third watchman,=x((x2)+2)=1;Or,(x4)2=1Or,x=6Hence,hehad6diamondsbeforehegave5tothethirdwatchman.Similarly number of diamonds before giving to second watchman,(x4)2=6;Or,x=16.Andnumberofdiamondsbeforegivingtothefirstwatchman,(x4)2=16;Or,x=36Thethiefhasstolen36diamondsoriginally
", "dateCreated": "7/24/2019 10:09:12 AM" } }
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