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In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
Consider the following statements: 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?
Consider the following relation on subsets of the set ? of integers between 1 and 2014. For two distinct subsets U and V of S we say U < V if the minimum element in the symmetric difference of the two sets is in U. Consider the following two statements: S1: There is a subset of S that is larger than every other subset. S2: There is a subset of S that is smaller than every other subset. Which one of the following is CORRECT?
Consider two relations R1(A, B) with the tuples (1, 5), (3, 7) and R2(A, C) = (1, 7), (4, 9). Assume that R(A, B, C) is the full natural outer join of R1 and R2. Consider the following tuples of the form (A, B, C): a = (1, 5, null), b = (1, null, 7), c = (3, null, 9), d = (4, 7, null), e = (1, 5, 7), f = (3, 7, null), g = (4, null, 9). Which one of the following statements is correct?
Consider the following statements in connection with deflection-type and null-type instruments: 1. Null-type instruments are more accurate than the deflection-type ones. 2. Null-type of instrument can be highly sensitive compared to a deflection-type instrument. 3. Under dynamic conditions, null-type instruments are less preferred to deflection-type instruments. 4. Response is faster in null-type instruments as compared to deflection-type instruments. Which of the above statements are correct?
Let A(1), A(2), A(3),…….., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),….., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) …..U A(100)).
Consider the following statements for deflection and null type instruments: 1. Deflection type of instruments are more accurate than null type of instruments. 2. Deflection type of instruments can be highly sensitive as compared with the null type of instruments. 3. Null type of instruments are more suitable for measurements under dynamic conditions than deflection type of instruments. Which of the above statements are not correct?
The height of a tree is defined as the number of edges on the longest path in the tree. The function shown in the pseudocode below is invoked as height(root) to compute the height of a binary tree rooted at the tree pointer root. int height (treeptr n) { if (n == NULL) return -1;   if (n →  left == NULL)        if (n →  right == NULL) return 0;        else return ; \(\boxed{B1}\);     // Box 1 else { h1 = height (n →  left);          if (n → right == NULL) return (1+h1);          else { h2 = height (n → right);          return ; \(\boxed{B2}\)   // Box 2                        }            } } The appropriate expressions for the two boxes B1 and B2 are
Point out the error (if any) in the following C code?
#include #include int main(void){ int* p = NULL; struct S *s = NULL; void(*f)(int, double) = NULL; char *ptr = malloc(15); if (ptr == NULL) printf("Out of memory"); free(ptr);}
A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of the subset of P. A sub-set Q of A is again chosen at random. Find the probability that P and Q have no common elements.