Statement I : Cheetah runs faster than horse.
Statement II : Horse runs faster than cat.
Analysis of Animal Speed Statements
This question requires us to evaluate the truthfulness of two statements comparing the running speeds of a cheetah, a horse, and a cat.
Statement I Analysis: Cheetah runs faster than horse
Let's consider the typical top speeds of these animals:
- Cheetah: Known as the fastest land animal, a cheetah can reach speeds of up to 112-120 km/h (approximately 70-75 mph).
- Horse: Horses, particularly breeds used for racing, can achieve speeds around 88 km/h (approximately 55 mph).
Comparing these speeds, $112 \, \text{km/h} > 88 \, \text{km/h}$. Therefore, the statement "Cheetah runs faster than horse" is true.
Statement II Analysis: Horse runs faster than cat
Now let's compare the speed of a horse to that of a domestic cat:
- Horse: As mentioned, horses can run at speeds around 88 km/h (approximately 55 mph).
- Cat: A domestic cat can reach top speeds of about 48 km/h (approximately 30 mph).
Comparing these speeds, $88 \, \text{km/h} > 48 \, \text{km/h}$. Thus, the statement "Horse runs faster than cat" is also true.
Overall Conclusion
Since both Statement I and Statement II have been determined to be factually correct based on the typical running speeds of these animals, the option stating that both statements are true is the correct choice.
This aligns with the first option provided: Both I and II are true.
Important Questions from Miscellaneous
A stone is thrown horizontally from the top of a 20 m high building with a speed of 12 m/s. It hits the ground at a distance R from the building. Taking g = 10 m/s2 and neglecting air resistance will give :
A sphere of volume V is made of a material with lower density than water. While on Earth, it floats on water with its volume f1V (f1 < 1) submerged. On the other hand, on a spaceship accelerating with acceleration a < g (g is the acceleration due to gravity on Earth) in outer space, its submerged volume in water is f2V. Then:
A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
Consider the following statements:
1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
One block of 2⋅0 kg mass is placed on top of another block of 3⋅0 kg mass. The coefficient of static friction between the two blocks is 0⋅2. The bottom block is pulled with a horizontal force F such that both the blocks move together without slipping. Taking acceleration due to gravity as 10 m/s2, the maximum value of the frictional force is :
