Q.2017·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.2018·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.2019·Miscellaneous·2023·EasyBy which one of the following amendments, was Article 51A, relating to the Fundamental Duties, inserted into the Constitution of India ?View question
Q.2020·Miscellaneous·2023·EasyWhat is the total resistance in the following circuit element?View question
Q.2021·Miscellaneous·2023·EasyWhich one among the following rulers established Pataliputra as the capital of the Magadhan Empire?View question
Q.2022·Miscellaneous·2023·EasyYashovarman was ruler of which one of the following kingdoms?View question
Q.2023·Miscellaneous·2023·EasyWhich one of the following astronomers proved that the Earth and other planets revolve around the Sun?View question
Q.2024·Miscellaneous·2023·EasyWhich one among the following districts of Eastern India held a referendum in 1947 to decide whether or not to join Pakistan ?View question
Q.2025·Miscellaneous·2023·EasyWhich one of the following statements about Rabatak inscription is not correct ?View question
Q.2026·Miscellaneous·2023·EasyA mass is attached to a spring that hangs vertically. The extension produced in the spring is 6 cm on Earth. The acceleration due to gravity on the surface of the Moon is one-sixth of its value on the surface of the Earth. The extension of the spring on the Moon would be :View question
Q.2027·Miscellaneous·2023·EasyWho among the following was the author of the famous Sanskrit work ‘Mrichchhakatika’ ?View question
Q.2028·Miscellaneous·2023·EasyLet f(x) = P e^x + Q e^2x + R e^3x where P, Q, R are real numbers. Further f(0) = 6, f'(n/3) = 282 and ∫₀^(n/2) f(x) dx = 11 What is the value of R?View question
Q.2029·Miscellaneous·2023·EasySuppose E is the differential equation representing family of curves y^2 = 2cx + 2c√c where c is a positive parameter. What is the order of the differential equation?View question
Q.2030·Miscellaneous·2023·EasyLet f(x) = P e^x + Q e^2x + R e^3x where P, Q, R are real numbers. Further f(0) = 6, f'(n/3) = 282 and ∫₀^(n/2) f(x) dx = 11 What is the value of Q?View question
Q.2031·Miscellaneous·2023·EasyWhich among the following is the correct arrangement of halogens in the increasing order of their oxidizing nature ?View question
Q.2032·Miscellaneous·2023·EasyA = i - j B = j + k Consider the following points: 1.(-1, -3, 1) 2.(-1, 3, 2) 3.(-2, 5, 3) What is the magnitude of AB?View question
Q.2033·Miscellaneous·2023·EasyCopper sulphate crystals available in the market are blue coloured crystals. By careful heating, they turn to white colour. Which one of the following is responsible for the blue colour ?View question
Q.2034·Miscellaneous·2023·EasyDirection ratios of lines are (2, -1, 2) and (k, 3, 5), angle between them is π/4 What are the direction ratios of a line perpendicular to both the lines?View question