Hasse diagrams are drawn for
A). lattices
B). boolean Algebra
C). partially ordered sets
D). none of these
none of these
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1. Let D30 = {1, 2, 3, 4, 5, 6, 10, 15, 30} and relation I be partial ordering on D30. The all lower bounds of 10 and 15 respectively are
2. In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
3. What distance will be covered by a bus moving at 72 kmph in 30 seconds?
4. A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
5. A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
6. Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
7. Triangle ABC is stretched along the x direction to form triangle AB’C’ and then triangle AB”C”. AC = CC’ = C’C”. What is the ratio of the areas of the three triangles?
8. A triangle of height 4 cm cut from a shaded square of sides 5 cm. What is the area, in cm² of the remaining shaded region of the square?
9. The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52 cm, then find the length of the smallest side.
10. The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :
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