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The following question has two premises and two conclusions. If the premises re assumed to be true (irrespective of factuality), then, in respect of each of the items given below, which of the following conclusions follow logically? Premises: All metals are grey in colour. Some metals are heavy. Conclusion: I. All heavy metals are grey in colour. II. All light metals are not grey in colour.
Which of the following statements regarding tree are correct? (A) All the links of a tree together does not constitute the complement of the corresponding tree (B) A connected subgraph of a connected graph is a tree if there exist (n - 1) nodes of the group (C) A connected subgraph of a connected graph is a tree if there exist many paths between any pair of nodes in it (D) The number of terminal nodes of end vertices of every tree are atleast two (E) Every connected graph has atleast one tree Choose the correct answer from the options given below: (1) (A) and (B) only (2) (B) and (C) only (3) (B) and (D) only (4) (D) and (E) only
Find the number of possible triangles using points on the sides of any triangle ABC having “a” points on side BC, “b” points on side AC, “c” points on side AB excluding the points at vertices.
In a quiz competition, Ashok got 72 points. Binod got 9 points more than Ashok but 7 points less than Deepak. Gaurav got 5 points less than Hanif, and 6 points more than Deepak. Who won the quiz competition and how many marks have got?
On a parallelogram ABCD, on side AB, 2 points are marked, on side BC, 3 points marked, on side CD, 4 points marked and one side AD, 3 points marked. How many triangles can be made using these points?(no point is marked on the vertex)
Four teams A, B, C and D participated in a competition, such that the points scored by them is in the ratio 5 ∶ 6 ∶ 4 ∶ 7 respectively. If team C had scored 35 points more, then the ratio of points scored by C and D would be 3 ∶ 4. How many points should team B had scored more so that the ratio of points scored by teams A and B becomes 4 ∶ 5?
Shweta has connected a cell with a bulb. The bulb didn't glow. What could be the reasons? A. Bulb was connected by the positive terminal from both ends. B. One end of the bulb was connected with a positive terminal and another end was connected with a negative terminal.  C. Bulb was connected by the negative terminal from both ends D. Bulb was fuse.
which of the following cases will K-Means clustering give poor results?
1. Data points with outliers
2. Data points with different densities
3. Data points with round shapes
4. Data points with non-convex shapes
In which of the following cases will K-Means clustering fail to give good results?
1. Data points with outliers
2. Data points with different densities
3. Data points with round shapes
4. Data points with non-convex shapes
Two circular dials of exactly the same size are mounted on a wall side by side in such a way that their perimeters touch at one point. Dial 1, which is on the left , spins clockwise around its center , and dial 2 , which is on the right spins counter clockwise around its center . (Assume that there is no friction at the point of contact between the dials.) Each dial is marked on its perimeter at three points that are at equale distances around the points arked ondial 1 are N, O, and P and the points marked on dial 2 are X, Y, and Z. If points O and Z are just meeting at the point of contact between the dials , and if dial 1 spins at the same speed as dial 2, what is the smallest number of revolutions of each dial that will bring O and Z together again?