A farmer counts his herd of cows. If he counts by 7, there willbe none left over; but with 2,3,4,5 or 6, there will always be 1 leftover. What is the smallest number of cows in the herd?

A farmer counts his herd of cows. If he counts by 7, there willbe none

1.	A farmer counts his herd of cows. If he counts by 7, there willbe none left over; but with 2,3,4,5 or 6, there will always be 1 leftover. What is the smallest number of cows in the herd?
Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>the following data <a href="https://interviewquestions.tuteehub.com/tag/suggests-1233859" style="font-weight:bold;" target="_blank" title="Click to know more about SUGGESTS">SUGGESTS</a> that the total no. of cows is a multiple of 7. </p><p></p><p>therefore, the <a href="https://interviewquestions.tuteehub.com/tag/smallest-646176" style="font-weight:bold;" target="_blank" title="Click to know more about SMALLEST">SMALLEST</a> no. of <a href="https://interviewquestions.tuteehub.com/tag/possible-592355" style="font-weight:bold;" target="_blank" title="Click to know more about POSSIBLE">POSSIBLE</a> cows is the <a href="https://interviewquestions.tuteehub.com/tag/lcm-15067" style="font-weight:bold;" target="_blank" title="Click to know more about LCM">LCM</a> of 7 = 7</p></body></html>