The number of positive integer between 100 to 1000 that are divisible by 7 (or)5 is=
Answers
Answer:
In a number, double the last digit and subtract it from all the other digits in the original number excluding the final digit. If the answer is either 0 or a number divisible by 7, then the original number is also divisible by 7
Step-by-step explanation:
Total number of numbers divisible by 7 up to 1,000 = 142
Total number of numbers divisible by 7 up to 100 = 14
Thus, the total number of numbers between 100 and 1,000 divisible by 7 is 142 - 14 = 128.
The first number in this series is 105 and the last number is 994.
Answer:
128
Step-by-step explanation:
numbers between 100 and 1000 are divisible by 7?
A.P = 105,112,119,………………..994
Here a (first term)=105
d (common difference)= t2 - t1 = 112 - 105 =7
and (last term) t =994
tn = a+(n-1)d
994 = 105 + (n-1)7
994 = 105 + 7n - 7
994 = 98 + 7n
994 - 98 = 7n
896 = 7n
n = 896 ÷ 7
n = 128
There are 128 numbers in between 100 and 1000 which are divisible by 7.