CAT 1996DILR Question 46

Faulty ClockEasy
Passage / Data

Direction: Answer the questions based on the following information.
The first table gives the percentage of students in MBA class, who sought employment in the areas of finance, marketing and software. The second table gives the average starting salaries of the students per month, (rupees in thousands) in these areas. The third table gives the number of students who passed out in each year.

First table

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​​​​​​​Second table

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​​​​​​​Third table

 

In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hr 18 min and 15 s of watch time. What is the time gained or lost by this watch in one day?

Answer & solution

  • A

    14 min 10 s lost

  • 13 min 50 s lost

  • C

    13 min 20 s gained

  • D

    14 min 40 s gained

Solution

In a watch that is running correct, the minute hand should cross the hour hand once in every 65 + 511 min. So they should ideally cross three times once in 3×(72011)=206011 min = 196.36 min. But in the watch under consideration they meet after every 3 hr, 18 min and 15 s, i.e. (3 × 60 + 18 + 1560) = 7934 min = 198.25 min. In other words, our watch is actually losing time (as it is slower than the normal watch). Hence, when our watch elapsed 198.25 min, it actually should have elapsed 196.36 min. So in a day, when our watch will elapse (60 × 24) = 1440, it should actually elapse (1440×196.36198.25) = 1426. 27. Hence, the amount of time lost by our watch in one day = (1440 – 1426.27) = 13.73, i.e. 13 min and 50 s (approximately).

CAT 1996 DILR Q46: In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hr 18 min and 15 s — Solution | TheCATExam