Q.4105·Miscellaneous·2021·EasyConsider the following statements in respect of relations and functions : 1. All relations are functions but all functions are not relations. 2. A relation from A to B is a subset of Cartesian product A × B. 3. A relation in A is a subset of Cartesian product A × A. Which of the above statements are correct?View question
Q.4106·Miscellaneous·2021·EasyLet ABC be a triangle. If cos 2A + cos 2B + cos 2C = –1 then which one of the following is correct?View question
Q.4107·Miscellaneous·2021·EasyWhat is the value of the following determinant? | cos C tan A 0 | | sin B 0 –tan A | | 0 sin B cos C |View question
Q.4108·Miscellaneous·2021·EasyDuring seed germination, the part of the embryo which grows into root isView question
Q.4109·Miscellaneous·2021·EasyIn a typical flower, germinating pollen grains pass through several parts of the gynoecium before they reach the ovule. A list of the parts of gynoecium is given below in different combinations. Choose the combination that represents the correct sequence of pollen tube pathway/journey:View question
Q.4110·Miscellaneous·2021·EasyIf the function f(x) = a + bx, x < 1 5, x = 1 b - ax, x > 1 is continuous, then what is the value of (a + b)?View question
Q.4111·Miscellaneous·2021·EasyConsider the following statements in respect of the function f(x) = sin x : 1. f(x) increases in the interval (0, π). 2. f(x) decreases in the interval (5π/2, 3π). Which of the above statements is/are correct?View question
Q.4113·Miscellaneous·2021·EasyWhich one of the following differential equations has the general solution y = ae^x + be^(–x)?View question
Q.4114·Miscellaneous·2021·EasyWhat is the solution of the following differential equation? ln(dy/dx) + y = xView question
Q.4115·Miscellaneous·2021·EasyConsider the following measures of central tendency for a set of N numbers: 1. Arithmetic mean 2. Geometric mean Which of the above uses/use all the data?View question
Q.4116·Miscellaneous·2021·EasyThe numbers of Science, Arts and Commerce graduates working in a company are 30, 70 and 50 respectively. If these figures are represented by a pie chart, then what is the angle corresponding to Science graduates?View question
Q.4117·Miscellaneous·2021·EasyFor a histogram based on a frequency distribution with unequal class intervals, the frequency of a class should be proportional toView question
Q.4119·Miscellaneous·2021·EasyThe following table gives the frequency distribution of number of peas per pea pod of 198 pods : Number of peas: 1 2 3 4 5 6 7 Frequency: 4 33 76 50 26 8 1 What is the median of this distribution?View question
Q.4120·Miscellaneous·2021·EasyIf the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?View question
Q.4121·Miscellaneous·2021·EasyLet two events A and B be such that P(A) = L and P(B) = M. Which one of the following is correct?View question
Q.4122·Miscellaneous·2021·EasyFor which of the following sets of numbers do the mean, median and mode have the same value?View question