Q.5833·Miscellaneous·2019·EasyA given quantity of metal is to be cast into a half cylinder (i.e. with a rectangular base and semicircular ends). If the total surface area is to be minimum, then the ratio of the height of the half cylinder to the diameter of the semicircular ends isView question
Q.5834·Miscellaneous·2019·EasyThe differential equation of the system of circles touching the y-axis at the origin isView question
Q.5835·Miscellaneous·2019·EasyConsider the following in respect of the differential equation: d²y/dx² + 2(dy/dx)² + 9y = x 1.The degree of the differential equation is 1. 2.The order of the differential equation is 2. Which of the above statements is/are correct?View question
Q.5836·Miscellaneous·2019·EasyThe value of k which makes f(x) = { sin x, x ≠ 0} {k, x = 0 } continuous at x = 0, is View question
Q.5837·Miscellaneous·2019·EasyWhat is the area of one of the loops between the curve y = c sin x and x-axis?View question
Q.5838·Miscellaneous·2019·EasyIn a circle of diameter 44 cm, the length of a chord is 22 cm. What is the length of minor arc of the chord?View question
Q.5839·Miscellaneous·2019·EasyHow many three-digit even numbers can be formed using the digits 1, 2, 3, 4 and 5 when repetition of digits is not allowed?View question
Q.5840·Miscellaneous·2019·EasyThe angle of elevation of a tower of height h from a point A due South of it is x and from a point B due East of A is y. If AB = z, then which one of the following is correct?View question
Q.5841·Miscellaneous·2019·EasyFrom a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?View question
Q.5842·Miscellaneous·2019·EasyA problem is given to three students A, B and C whose probabilities of solving the problem are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if they all solve the problem independently?View question
Q.5843·Miscellaneous·2019·EasyA pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?View question
Q.5844·Miscellaneous·2019·EasyA fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?View question
Q.5845·Miscellaneous·2019·EasyIf A, B, C are three events, then what is the probability that at least two of these events occur together?View question
Q.5846·Miscellaneous·2019·EasyIf two variables X and Y are independent, then what is the correlation coefficient between them?View question
Q.5847·Miscellaneous·2019·EasyThe mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?View question
Q.5848·Miscellaneous·2019·EasyIf two fair dice are rolled then what is the conditional probability that the first dice lands on 6 given that the sum of numbers on the dice is 8?View question
Q.5849·Miscellaneous·2019·EasyTwo symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?View question
Q.5850·Miscellaneous·2019·EasyIf A = [[1, 2], [2, 3]] and B = [[1, 2], [3, 4]] , then which one of the following is correct?View question