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Maths Puzzle
Numerical Ability
LCM and HCF
Some children were formed into group of 6 or 7 .In each case 2 children were left out
when they were formed into group of 8 ,no children were left out .what is total number number of children
Read Solution (Total 2)
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- Let the number of children be x.
x=6k+2, for some number k.
x=7l+2, for some number l.
x= 8m+0, for some number m.
Equating all you can solve, x for 32. - 6 years agoHelpfull: Yes(0) No(3)
- 128
Number which left out 2 when divided by 6 or 7 = LCM (6, 7) + 2 = 42n+2
Given the same number is divisible by 8, so checking for values n=1, 2, 3, ...
For n=3, number (42n+2)=128, which is perfectly divisible by 8.
Hence total number of children=128 - 6 years agoHelpfull: Yes(0) No(0)
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