If (11)^3 is subtracted from (46)^2, what will be the remainder? (a) 787 (b) 785 (c) 781 (d) 783 (e) None of these

Solution

To find the remainder when \((11)^3\) is subtracted from \((46)^2\), we first calculate each term:

Calculating \((46)^2\)

\[
(46)^2 = 2116
\]

Calculating \((11)^3\)

\[
(11)^3 = 1331
\]

Now, subtracting \((11)^3\) from \((46)^2\):

\[
2116 – 1331 = 785
\]

Therefore, the remainder when \((11)^3\) is subtracted from \((46)^2\) is 785.

The correct answer is (b) 785.