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Gennadij [26K]
3 years ago
13

No is divisible by 7 if n is divided by 2 3 4 5 the remainder is 1 what is the smallest value that n could b

Mathematics
2 answers:
kvv77 [185]3 years ago
7 0

Answer: 301

Step-by-step explanation:

Since, The LCM of numbers given numbers 2 ,3,  4 and 5 is 60.

Thus, the number that gives 1 as reminder and is the multiple of 7 is  60 n + 1

Where n is any positive integer,

Since, For n = 5,

The number is, 60\times 5 + 1 = 300 + 1 = 301

Which is divisible by 7.

Thus, the required number is 301.

Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241

But they are not the multiple of 7.

mamaluj [8]3 years ago
4 0

Answer:

The required number is 301

Step-by-step explanation:

Let the number be N.

The number when divided by 2, 3, 4, 5 leaves the remainder 1 so, N-1 is divisible by 2, 3, 4, 5. So, possible cases of N-1 are : multiples of  l.c.m.(2, 3,4, 5) = multiples of 60

  1. N-1 = 60 but 61 is not divisible by 7. So rejected
  2. N-1 = 120 but 121 is not divisible by 7. So rejected
  3. N-1 = 180 but 181 is not divisible by 7. So rejected
  4. N-1 = 240 but 241 is not divisible by 7. So, rejected
  5. N-1 = 300 and 301 is divisible by 7 So 301 is our required number.
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