No one wants to have it, but if one got it, he does not want to lose it. What is It?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

How many triangles can you find in this given picture?

what does the below math rebus puzzle mean?

Can you divide numbers from 1 to 9 (1 2 3 4 5 6 7 8 9) into two groups so that the sum of the numbers of each group is equal?

Note: 9 cannot be turned over to make it 6.

When it is alive we sing, when it is dead we clap our hands. What is it?

What goes up but never comes down?

A river should be crossed by a father, a mother and their two sons and two daughters.
There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?

If we change the South-East direction into North and North-East into West and all others similarly.
Can you find out which direction will be in the place of South-West direction?

How many triangles can you count in the figure given?