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Question
How many integers that lie between 0 and 1000 which when divided by 2 or 4 leave a remainder of 1 and by 7 leaves a remainder of 2 ?
How many integers that lie between 0 and 1000 which when divided by 2 or 4 leave a remainder of 1 and by 7 leaves a remainder of 2 ?
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Solution
The correct option is D 36
The number which when divided by 2 or 4 that leaves a remainder of 1 can be written as 4k+1 ( k greater than or equal to 0 ) and it can also be written as 7m+2 ( m greater than or equal to 0 ) .
The First term in the series is 9 and the common difference is 28.
989=9+28(n-1)
n-1= 35
⇒ n=36
36
The number which when divided by 2 or 4 that leaves a remainder of 1 can be written as 4k+1 ( k greater than or equal to 0 ) and it can also be written as 7m+2 ( m greater than or equal to 0 ) .
The First term in the series is 9 and the common difference is 28.
989=9+28(n-1)
n-1= 35
⇒ n=36
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