Find the number of non-negative integers below 10000 which when divided by 7 and 89 leaves a remainder 1?

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Solution

The correct option is D
17

The number will be in the form of 7 $\times$ 89 k + 1, where k is a whole number .So the maximum value of k so that the number is below 10000 is 16 and the number of values of k is 17 including 0.

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Find the number of non-negative integers below 10000 which when divided by 7 and 89 leaves a remainder 1?

The correct option is D 17 The number will be in the form of 7×89 k + 1, where k is a whole number .So the maximum value of k so that the number is below 10000 is 16 and the number of values of k is 17 including 0.

The correct option is D
17

The number will be in the form of 7 $\times$ 89 k + 1, where k is a whole number .So the maximum value of k so that the number is below 10000 is 16 and the number of values of k is 17 including 0.