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My father gifted me a digital watch that runs fast at the rate of $15$ seconds per hour. If I have set the watch correctly at $10$ a.m. on Tuesday, what will be the time shown by the watch at $6$ p.m. on Saturday?

  1. $6.16$ p.m
  2. $6.30$ p.m
  3. $6.26$ p.m
  4. $5.34$ p.m
in Quantitative Aptitude by (5.8k points) 5 56 296
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$10$ am Tuesday to $10$ am Saturday $= 4$ days $= 96$ hours

$10$ am Saturday to $6$ pm Saturday $= 8$ hours

Time gained $= 15$ seconds $ \times (96 + 8) = 1560$ seconds

Converted into minutes $ = \dfrac{1560}{60}= 26$ minutes gain

Thus, time shown $= 6\;\text{pm} + 26\;\text{mins} = 6 : 26\;\text{pm}.$

So, the correct answer is $(C).$
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