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`        There are some diamonds..7 people will share diamonds equally...If 6 members will share then 5 diamonds will be left...If  5 members will share then 4 diamonds will be left...If 4 members will share then 3 diamonds will be left...If 3 members will share 2 diamonds will be left...If 2 members will 1 diamond will be left.....So Total how many diamonds are there...`
one year ago

1816 Points
```							hello divya. this is a question based on common multiples. so let total diamonds be d. then d+1 will be divisible by 2, 3, 4, 5, 6 ; which also implies that d+1 will be a multiple of the LCM of these nos. moreover d should be divisible by 7.now LCM of 2, 3, 4, 5, 6 = 60but d+1=60 or d= 59 is not div by 7so d+1= 2*60=120or d= 119 which is divisible by 7.so 119 is the smallest no of diamonds which satisfy the above conditions.the next no of possible diamonds is 539....
```
one year ago
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### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions