Questions
In sets A and B, A has 40 members, B has 50 members, and $\rm (A \cup B)$ has 60 members. By how many elements $\rm (A \cap B)$ is formed?
If A = {factors of 18}, B = {multiples of 3 up to 27}, and U = {integers from 1 to 30}, find the cardinality of no(B) and n(A$\rm \cup$B) by using a Venn diagram.
If P = {Multiples of 2 up to 20}, Q = {Multiples of 3 up to 24} and U = {integers from 1 to 25}, find no(P) and n(P $\rm \cup$ Q) by using a Venn diagram.
If n(X) = 40, n(Y) = 60 and n(X $\rm \cup$ Y) = 85, then find n(X $\rm \cap$ Y) and no(Y) by using formula.
If n(A) = 35, n(B) = 30, and n(A $\rm \cap$ B) = 20, find n (A $\cup$ B) and no(A) by using a Venn diagram.
When a stone is dropped from a bridge over a river into the water, after 2.5 seconds the sound of the stone hitting the surface of the water is heard. Calculate the height of the bridge from the surface of the water.
If a cricket ball is thrown vertically upwards into the sky with a velocity of 15 m/s, to what maximum height will the ball reach?
If a stone is dropped from a height of 15 m, how long will it take to reach the ground? Calculate the velocity of the stone when it hits the ground.
The acceleration due to gravity of the Mars is $\rm 3.75 ms^{-2}$. How much mass can a weight-lifter lift on Mars who can lift 100 kg mass on the Earth?
The Earth's mass is $\rm 5.972 \times 10^{24}$ kg and its radius is 6371 km. If the height of Mt. Everest is 8848.86 m from the sea level, calculate the weight of an object of mass 10 kg at the peak of Mt. Everest.