Is it true that if Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes, then the ratio of the time taken by Saturn and Jupiter in lowest form is 120:160?

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True

False

answer is B.

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Detailed Solution

We are given that Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes.
But all the units in ratio must be the same for performing calculations.
First, we will convert all the units into minutes.
1hour=60minutes
9hours 56minutes=

9 × 60 + 56 = 596

minutes
10hours 40minutes=

10 × 60 + 40 = 640

minutes
Now,

596640 = 4 × 149 4 × 160

596640 = 149160

Hence, the given statement is false and option 2 is correct.
Therefore, if Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively for one spin on their axes, then the ratio of the time taken by Saturn and Jupiter in the lowest form is 149:160.

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