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Question

A metal rod of length 438 m is subjected to the following changes.


The final length of the rod will be

A
678m
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B
778m
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C
658m
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D
758m
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Solution

The correct option is B 778m
Calculating the length of the rod at each step, we get:

Step 1: The rod of length 438 m is shortened by 218 m

Length after step 1

=438 m218 m

=(42) m+(3818) m

=2 m+(31)8 m

=2 m+28 m

=228 m

Step 2: The rod length is lengthened by 558 m

Length after step 2

=228 m+558 m

=(2+5) m+(28+58) m

=7 m+(2+5)8 m

=7 m+78 m

=778 m

The final length of the metal rod will be 778 m.

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