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Practice each question, then open the answer or worked solution.
Sleeping time of a python in a 24-hour clock is represented by the shaded portion in Fig. 8.3.
The ratio of sleeping time to awaking time is ______.
Solution:-
The ratio of sleeping time to awaking time is 3: 1.
From the figure, sleeping time = 18 hours
Then, awaking time = 24 – 18 = 6 hours
Therefore, the ratio of sleeping time to awaking time is 18/6
= 3/1
= 3: 1
A ratio expressed in the lowest form has no common factor other than ______ in its terms.
Solution:-
A ratio expressed in the lowest form has no common factor other than one in its terms.
To find the ratio of two quantities, they must be expressed in _____units.
Solution:-
To find the ratio of two quantities, they must be expressed in the same units.
Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to _____
Solution:-
Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to 100 paise.
From the question,
5 paise : 25 paise = 20 paise: [ ]
Let us assume the missing number be Q,
5 paise : 25 paise = 20 paise: Q
5/25 = 20/Q
Q = (20 × 25)/5
Q = 500/5
Q = 100
Therefore, the ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to 100 paise
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively, for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in the lowest form is ______.
Solution:-
Saturn and Jupiter take 9 hours 56 minutes and 10 hours 40 minutes, respectively, for one spin on their axes. The ratio of the time taken by Saturn and Jupiter in the lowest form is 149: 160.
From the question,
Saturn takes 9 hours 56 minutes for one spin on their axes
We know that, 1 hour = 60 minutes
So, (9 × 60) + 56 = 540 + 56 = 596 minutes
Jupiter takes 10 hours 40 minutes for one spin on their axes
= (10 × 60) + 40
= 600 + 40
= 640 minutes
The ratio of the time taken by Saturn and Jupiter in lowest form is = 596/640
Divide both numerator and denominator by 2,
= 298/320
Again, divide both the numerator and denominator by 2,
= 149/160
Therefore, the ratio of the time taken by Saturn and Jupiter in the lowest form is 149: 160.