Discussion
Which of the following statements is/are true ?
(i) The number of minutes in 6 days is equal to number of seconds in \(2\frac{2}{5}\) hours.
(ii) The number of minutes in 10 days is equal to the number of minutes in 120 hours.
(iii) The number of seconds in 2 hours is equal to the number of minutes in 5 days.
(iv) The number of hours in 5 days is equal to the number of seconds in 2 minutes.
Choose the correct option :
Answer: B
Statements (i), (iii) and (iv) are true, which is option 2. Work each one out in the same unit.
(i) \(6\) days in minutes: \(6 \times 24 \times 60 = 8640\). \(2\frac{2}{5}\) hours in seconds: \(2.4 \times 3600 = 8640\). Equal, so true.
(ii) \(10\) days in minutes: \(10 \times 1440 = 14400\). \(120\) hours in minutes: \(120 \times 60 = 7200\). Not equal, so false.
(iii) \(2\) hours in seconds: \(2 \times 3600 = 7200\). \(5\) days in minutes: \(5 \times 1440 = 7200\). Equal, so true.
(iv) \(5\) days in hours: \(5 \times 24 = 120\). \(2\) minutes in seconds: \(2 \times 60 = 120\). Equal, so true.
Option 1 and option 3 leave out (iv), and option 4 includes the false (ii) while leaving out (i) and (iv).
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