Subject

    Quantitative Aptitude

    Topic

    Clock

    A watch which gains uniformly is 2 minutes low at noon on monday and is 4 min.48 sec fast at 2 p.m on the following monday. when was it correct ?

    ক)
    2 p.m on Tuesday
    খ)
    2 p.m on Wednesday
    গ)
    3 p.m on Thursday
    ঘ)
    1 p.m on Friday

    Explanation

    Time from 12 p.m on monday to 2 p.m on the following monday = 7 days 2 hours = 170 hours Therefore, The watch gains (2+445)\left(2+4\frac45\right) min. or  34/5 min. in 170 hrs. Now, 34/5 min. are gained in 170 hrs. Therefore, 2 min are gained in  (170×534×2)\left(170\times\frac5{34}\times2\right) hrs = 50 hrs Therefore, Watch is correct 2 days 2 hrs. after 12 p.m on monday i.e it will be correct at  2 p.m on wednesday.

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