Q.11683·Miscellaneous·2014·EasyConsider the following statements in respect of the matrix: Matrix A = {0 1 2} {-1 0 -3} {-2 3 0} 1.The matrix A is skew-symmetric. 2.The matrix A is symmetric. 3.The matrix A is invertible. Which of the above statements is/are correct?View question
Q.11684·Miscellaneous·2014·EasyIn a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Consider the following statements: 1.The number of students who had taken only one subject is equal to the number of students who had taken only two subjects. 2.The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct?View question
Q.11685·Miscellaneous·2014·EasyIn a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. The number of students who had taken only Physics is:View question
Q.11686·Miscellaneous·2014·EasyIf any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:View question
Q.11687·Miscellaneous·2014·EasyThe determinant of an odd order skew symmetric matrix is always:View question
Q.11688·Miscellaneous·2014·EasyIf A is any matrix, then the product AA is defined only when A is a matrix of order m × n where:View question
Q.11689·Miscellaneous·2014·EasyWhat is the argument of the complex number (1+i)(2+i)/3−i where i =√-1 ?View question
Q.11690·Miscellaneous·2014·EasyHow many different words can be formed by taking four letters out of the letters of the word 'AGAIN' if each word has to start with A?View question
Q.11691·Miscellaneous·2014·EasyLet X denote the number of scores which exceed 4 in 18 tosses of a symmetrical die. Consider the following statements: 1.The arithmetic mean of X is 6. 2.The standard deviation of X is 2. Which of the above statements is/are correct?View question
Q.11692·Miscellaneous·2014·EasyOut of 7 consonants and 4 vowels, words are to be formed by involving 3 consonants and 2 vowels. The number of such words formed is:View question
Q.11693·Miscellaneous·2014·EasyIt has been found that if A and B play a game 12 times, A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games. The probability that they win alternately is:View question
Q.11694·Miscellaneous·2014·EasyThe cumulative frequency of the largest observed value must always be:View question
Q.11695·Miscellaneous·2014·Easyp, q, r, s, t are five numbers such that the average of p, q, and r is 5 and that of s and t is 10. What is the average of all the five numbers?View question
Q.11696·Miscellaneous·2014·EasyWhat is the mean of the squares of the first 20 natural numbers?View question
Q.11697·Miscellaneous·2014·EasyA box contains 3 white and 2 black balls. Two balls are drawn at random one after the other. If the balls are not replaced, what is the probability that both the balls are black?View question
Q.11698·Miscellaneous·2014·EasyThe sum of an infinite GP is x and the common ratio r is such that |r| < 1. If the first term of the GP is 2, then which one of the following is correct?View question
Q.11699·Miscellaneous·2014·EasyIf P and Q are two complex numbers, then the modulus of the quotient of P and Q is:View question
Q.11700·Miscellaneous·2014·EasyConsider the following relations from A to B where A = {u, v, w, x, y, z} and B = {p, q, r, s}. 1.{(u, p), (v, p), (w, p), (x, q), (y, q), (z, q)} 2.{(u, p), (v, q), (w, r), (z, s)} 3.{(u, s), (v, r), (w, q), (u, p), (v, q), (z, q)} 4.{(u, q), (v, p), (w, s), (x, r), (y, q), (z, s)} Which of the above relations are not functions?View question