if product of 5465×6k4 is divisible by 15. what the value of k
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Answer:
the value of k is thousand.
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The value of k can be 2 or 5 or 8
Step-by-step explanation:
5465×6k4 is divisible by 15.
5465×6k4 is divisible by 5.
5465×6k4 is divisible by 3
5465 is divisible by 5 because unit's digit is 5 which is divisible by 5.
hence 5465×6k4 is also divisible by 5.
5465 is not divisible by 3 because ( 5+4+6+5= 20 which is not divisible by 3).
Hence 6k4 must be divisible by 3 because 5465×6k4 is divisible by 3
6+k+4 is divisible by 3
10+k is divisible by 3
Hence a can be 2 or 5 or 8 such that 10+ k is divisible by 3
#Learn more:
If the common ratio in a gp is 3 and the sum of the first 7 terms is 5465,find the first term
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