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If 31p5 is a multiple of 3,where p is a digit,what might be the value of p? |
Answer» <html><body><p><strong>Answer:</strong></p><p></p><p><strong>Explanation:</strong></p><p></p><p>The <a href="https://interviewquestions.tuteehub.com/tag/divisibility-957429" style="font-weight:bold;" target="_blank" title="Click to know more about DIVISIBILITY">DIVISIBILITY</a> test for a number to be divisible by <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> is the sum of <a href="https://interviewquestions.tuteehub.com/tag/digits-953961" style="font-weight:bold;" target="_blank" title="Click to know more about DIGITS">DIGITS</a> constituting number Sould be a multiple of 3</p><p></p><p>3z5 is divisible by 3</p><p></p><p>Hence ( 3 + 5 + z ) i.e. ( z + 8 ) is a multiple of 3 .</p><p></p><p>For z = 1 , sum is <a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</a> .</p><p></p><p>Similarly for z = 4 , z = 7 the sum will be divisible by 3 .</p><p></p><p></p><p></p><p></p></body></html> | |