How many natural numbers are there between 1000 to 2000 which when divided by 341 leaves remainder 5?
Answers
Answer:
Step-by-step explanation:
The natural numbers between 1000 and 2000 which are divisible by 341 are
341, 682, 1023, 1364, 1705
Hence, the natrual numbers between 1000 and 2000 which leaves remainder 5 when divided by 341 are
346, 687, 1028, 1369, 1710 (by adding 5 to each term)
There are such 5 numbers
There are 3 numbers between 1000 to 2000 which when divided by 341 leaves remainder 5.
Step-by-step explanation:
Consider the provided information.
when divided by 341 leaves remainder 5 that means number should be in the form of N=(341k+5) where k is natural number.
We want the number should be between 1000 to 2000
Substitute k = 3 that will gives you the first number between 1000 to 2000 which when divided by 341 leaves remainder 5.
N=341(3)+5
N=1023+5
N=1028
The next number will be: 1028+341+5=1374.
The next number will be: 1374+341+5=1720.
The next number will be: 1720+341+5=2066
2066 is greater than 2000 so we will leave it.
Thus, there are 3 numbers between 1000 to 2000 which when divided by 341 leaves remainder 5.
#Learn more
What least number should be added to 3756 so that the sum can be exactly divided by 45 ?
brainly.in/question/3761379