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Higher Study | Engineering Mathematics

Probability and Statistics Linear Algebra Set Theory & Algebra Graph Theory Mathematical Logic Calculus Numerical Methods Complex Variables
Let X and Y be two independent random variables. Which one of the relations between expectation (E), variance (Var) and covariance (Cov) given below is FALSE?
If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads?
Consider a company that assembles computers. The probability of a faulty assembly of any computer is p. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of q. What is the probability of a computer being declared faulty?
Which one of the following equations is a correct identity for arbitrary 3 × 3 real matrices P, Q and R?
Let x denote a real number. Find out the INCORRECT statement.
Consider a 3 × 3 matrix ? whose (i, j)-th element, ai, j = (i - j)3 Then the matrix A will be
60% of the employees of a company are college graduates. Of these, 10% are in sales. Of the employees who did not graduate from college, 80% are in sales. The probability that an employee selected at random is in sales, is:
In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?
Given below are two statements: Statement I: 5 divides n5 - n whenever n is a nonnegative integer. Statement II: 6 divides n3 - n whenever n is a nonnegative integer. In the light of the above statements. choose the correct answer from the options given below
Consider the pseudocode given below. The function DoSomething() takes as argument a pointer to the root of an arbitrary tree represented by the leftMostChild-rightSibling representation. Each node of the tree is of type treeNode. typedef struct treeNode* treeptr; struct treeNode {              treeptr leftMostChild, rightSibling; }; int DoSomething (treeptr tree) {              int value=0;              if (tree != NULL) {              if (tree->leftMostChild == NULL)              value = 1;    else               value = DoSomething(tree->leftMostChild);               value = value + DoSomething(tree->rightSibling);     }               return(value); } When the pointer to the root of a tree is passed as the argument to DoSomething, the value returned by the function corresponds to the 
The Gauss Seidel method gives results faster when the pivotal elements are
When throwing a die what is the probability of getting a 3?
Square roots of −i , where i = √−1, are
Which type of sampling is one where only the first sample unit is selected at random and the remaining units are automatically selected in a definite sequence at equal spacing from one another. It is:
Factory A and Factory B employ 476 and 524 employees. respectively. The average weekly salary of an employee in Factory A is $34.5 whereas for an employee in Factory B it is $28.5, The standard deviation in paying the individual salary has been recorded as $5 and $4.5 for Factory A and Factory B, respectively. Which factory has greater variability in paying individual salary?
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