1.

Evaluate -51^3 in column identity method​

Answer» <html><body><p><strong>Answer:</strong></p><p>Answer</p><p>Given number =23</p><p>By using <a href="https://interviewquestions.tuteehub.com/tag/column-922494" style="font-weight:bold;" target="_blank" title="Click to know more about COLUMN">COLUMN</a> method we have,</p><p>∴a=2 and <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>=3</p><p>a </p><p>2</p><p> (2×a×b) b </p><p>2</p><p> </p><p>4 12 <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>+<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> +0 </p><p>=5 =12 </p><p>∴(23) </p><p>2</p><p> =529</p><p>Steps involved in solving column method:</p><p>Step 1: Make three columns headed by a </p><p>2</p><p> ,2×a×b and b </p><p>2</p><p> respectively. Write the values of a </p><p>2</p><p> ,2×a×b and b </p><p>2</p><p> in columns respectively.</p><p>Step 2: In third column underline the unit digits of b </p><p>2</p><p> i.e 9 and carry the tens digit of it i.e. 0 to the <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> column and add it to the value of second column is 2×a×b and it will remains 12 if it added to 0.</p><p>Step 3: In column second, underline the unit digit of the number obtained in second step i.e. 2 and carry over the ten digit of it to first column and add it to the value of a </p><p>2</p><p> i.e. 4+1=5</p><p>Step 4: Now underline the number obtained in third step in first column i.e. 5. The underlined digits give the required square number.</p></body></html>


Discussion

No Comment Found

Related InterviewSolutions