If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3,
(2) c is odd.
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I need explanation please!
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let say c=1 than 1,2,3 or c=7 than 7,8,9
(1) either case b is multiple of 3 but c=1 is not multiple of 24 c=7 multiple of 24 NS
(2) C is odd in eiher case we did NS
Answer is E
(1) either case b is multiple of 3 but c=1 is not multiple of 24 c=7 multiple of 24 NS
(2) C is odd in eiher case we did NS
Answer is E
babachal wrote:If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?
(1) b is a multiple of 3,
(2) c is odd.
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Yes, A is not useful as written. The product of n consecutive integers is always divisible by n!. So before even reading the statements, we know b is divisible by 3! = 6.
If instead Statement A said 'b is divisible by 8', then it would be sufficient; since b is also divisible by 3, it would then be divisible by 24.
If instead Statement A said 'b is divisible by 8', then it would be sufficient; since b is also divisible by 3, it would then be divisible by 24.
