Q.1963·Miscellaneous·2023·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 in your Answer Sheet accordingly. His ostentatious behaviour surprised everyone.View question
Q.1964·Miscellaneous·2023·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 in your Answer Sheet accordingly. A trip to the hills was refreshing .View question
Q.1965·Miscellaneous·2023·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 in your Answer Sheet accordingly. The experience of Covid Pandemic was excruciating for much of the population.View question
Q.1966·Miscellaneous·2023·EasyThe potential difference between the two end terminals of an electric heater is 220 V and the current through it is 0.5 A. What would be the current through the heater if the potential difference across the terminals of the heater is reduced to 120 V?View question
Q.1967·Miscellaneous·2023·EasyThe heating element in an electric iron is usually made ofView question
Q.1968·Miscellaneous·2023·EasyLet f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of p?View question
Q.1969·Miscellaneous·2023·EasyLet f(x) = x + 6, for x ≤ 1 f(x) = px + q, for 1 < x < 2 f(x) = 5x, for x ≥ 2 If f(x) is continuous, what is the value of q?View question
Q.1970·Miscellaneous·2023·EasyConsider the following statements: 1.f(x) = ln x is increasing in (0, ∞) 2.g(x) = e^x + e^(1/x) is decreasing in (0, ∞) Which of the above is/are correct?View question
Q.1971·Miscellaneous·2023·EasyFor what value of m < 0 is the area bounded by the lines y = x, y = mx, and x = 2 equal to 3?View question
Q.1972·Miscellaneous·2023·EasyLet f(x) = |ln x|, x ≠ 1. What is the derivative of f(x) at x = 2?View question
Q.1973·Miscellaneous·2023·EasyLet f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x − 3| + b, x > 3 f(x) be continuous at x = 3. What is the value of b ?View question
Q.1974·Miscellaneous·2023·EasyLet f(x) = [ ax(x + 1) + b, x < 1 [ x − 1, 1 ≤ x ≤ 2 If the function f(x) is differentiable at x = 1, then what is the value of (a + b) ?View question
Q.1975·Miscellaneous·2023·EasyA parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0. What is the length of latus rectum of the parabola ?View question
Q.1976·Miscellaneous·2023·EasyLet f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x − 3| + b, x > 3 f(x) be continuous at x = 3. What is the value of a ?View question
Q.1977·Miscellaneous·2023·EasyThe Cartesian product A × A has 16 elements among which are (0, 2) and (1, 3). Which of the following statements is/are correct? 1. It is possible to determine set A. 2. A × A contains the element (3, 2). Select the correct answer using the code given below:View question
Q.1978·Miscellaneous·2023·EasyConsider the following statements: 1. The relation f defined by f(x) = { x³, 0 ≤ x ≤ 2 4x, 2 ≤ x ≤ 8 } is a function. 2. The relation g defined by g(x) = { x², 0 ≤ x ≤ 4 3x, 4 ≤ x ≤ 8 } is a function. Which of the statements given above is/are correct?View question
Q.1979·Miscellaneous·2023·EasyConsider the following statements: 1. A = (A ∪ B) ∪ (A – B) 2. A ∪ (B – A) = (A ∪ B) 3. B = (A ∪ B) – (A – B) Which of the statements given above are correct?View question
Q.1980·Miscellaneous·2023·EasyIf A = [ 2 –1 0 –1 3 0 1 0 1 ], then what is the value of det[adj(adj(A))]?View question