Q.3997·Miscellaneous·2021·EasyWhat is the area bounded by y = [x], the x-axis and the lines x = -1.5 and x = -1.8?View question
Q.3999·Miscellaneous·2021·EasyConsider the following relations for two events E and F: 1. P(E ∩ F) ≥ P(E) + P(F) − 1 2. P(E ∪ F) = P(E) + P(F) + P(E ∩ F) 3. P(E ∪ F) ≤ P(E) + P(F) Which of the above relations is/are correct?View question
Q.4000·Miscellaneous·2021·EasyIf P(A|B) < P(A), then which one of the following is correct?View question
Q.4001·Miscellaneous·2021·EasyWhen the measure of central tendency is available in the form of mean, which one of the following is the most reliable and accurate measure of variability?View question
Q.4002·Miscellaneous·2021·EasyA problem is given to three students A, B and C, whose probabilities of solving the problem independently are 1/2, 3/4 and p respectively. If the probability that the problem can be solved is 29/32, then what is the value of p?View question
Q.4003·Miscellaneous·2021·EasyIn this question each item consists of a sentence with an underlined word followed by four words. Select the option that is opposite in meaning to the underlined word and mark your response on your Answer Sheet accordingly. Planets move in their orbits.View question
Q.4004·Miscellaneous·2021·EasyThe equations of the sides AB, BC and CA of a triangle ABC are x – 2 = 0, y + 1 = 0 and x + 2y – 4 = 0 respectively. What are the coordinates of circumcentre of the triangle?View question
Q.4005·Miscellaneous·2021·EasyThe equations of the sides AB, BC and CA of a triangle ABC are x – 2 = 0, y + 1 = 0 and x + 2y – 4 = 0 respectively. What is the equation of the altitude through B on AC?View question
Q.4006·Miscellaneous·2021·EasyThe coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(–1, 2) and C(3, 5). What is the area of the parallelogram?View question
Q.4007·Miscellaneous·2021·EasyThe coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(–1, 2) and C(3, 5). What is the equation of the diagonal BD?View question
Q.4008·Miscellaneous·2021·EasyThe two vertices of an equilateral triangle are (0, 0) and (2, 2). The difference of coordinates of the third vertex isView question
Q.4009·Miscellaneous·2021·EasyThe two vertices of an equilateral triangle are (0, 0) and (2, 2). Consider the following statements: 1. The third vertex has at least one irrational coordinate. 2. The area is irrational. Which of the above statements is/are correct?View question
Q.4010·Miscellaneous·2021·EasyA circle is passing through the points (5, –8), (–2, 9) and (2, 1). If r is the radius of the circle, then which one of the following is correct?View question
Q.4011·Miscellaneous·2021·EasyA circle is passing through the points (5, –8), (–2, 9) and (2, 1). What are the coordinates of the centre of the circle?View question
Q.4012·Miscellaneous·2021·EasyConsider the following in respect of the matrix A = [1 1 1] [1 1 1] [1 1 1] 1. Inverse of A does not exist 2. A³ = A 3. 3A = A² Which of the above are correct?View question
Q.4013·Miscellaneous·2021·EasyIf x = a / (b – c), y = b / (c – a), z = c / (a – b) then what is the value of the following? | 1 –x x | | 1 –y y | | 1 z 1 |View question
Q.4014·Miscellaneous·2021·EasyHow many distinct matrices exist with all four entries taken from {1, 2}?View question