Others Maths Puzzle

3 real and distinct normals are drawn from (h,0) to y^2=4ax Circle x^2+y^2=16a^2 cuts off chords on these normals. Every chord is bisected by y^2=4ax, PT 4a

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Others Other Question

An urn contains marbles of four colors: red, white, blue, and green.
When four marbles are drawn without replacement, the following events
are equally likely:
(a) the selection of four red marbles;
(b) the selection of one white and three red marbles;
(c) the selection of one white, one blue, and two red marbles; and
(d) the selection of one marble of each color.
What is the smallest number of marbles that the urn could contain?
There are four persons A,B,C and D. They are travelling at night. one bridge come in their way. The bridge has a capacity to hold only two persons at one time. They have only torch and one torch is mandatory to cross the bridge. A,B,C and D can individually cross the bridge in 2,3,4 and 5 min respectively.
option
1. Name two persons out of these four who will take minimum time to cross the bridge?
2. Name two persons who will take maximum time to cross the bridge.
3. who will go first?
4. who will go last?