Q.1279·Miscellaneous·2024·EasyA vertical pole of length 80 m is situated on the horizontal plane. The base of the pole is at P. There are two points A and B such that P, A, B are on the same straight line. Let the angles of elevation of top of the pole from A and B be α and β (α > β) respectively. If PA = 64 m and AB = 36 m, then what is (α + β) equal to?View question
Q.1280·Miscellaneous·2024·EasyTwo towers A and B of height 23 m and 11 m respectively, stand 9 m apart. A straight rod is joined to the two tops of the towers. A monkey sitting on the top of A, climbs the rod to reach the top of B. If the monkey takes 5 minutes to reach the other end, what is the average speed of the monkey?View question
Q.1281·Miscellaneous·2024·EasyLet n be a natural number. The HCF of n, n + 10 is 10. If the LCM is x (a 2-digit number), then how many values of x are possible?View question
Q.1282·Miscellaneous·2024·EasyThe mean weight of 150 students in a class is 60 kg. The mean weight of boys in the class is 70 kg and that of girls is 55 kg. What is the ratio of number of boys to number of girls?View question
Q.1283·Miscellaneous·2024·EasyA spherical wooden ball of radius r is to be divided into eight identical parts by cutting by planes passing through the same diameter. What is the surface area of each final piece?View question
Q.1284·Miscellaneous·2024·EasyA trolley with two wheels one metre apart is moved clockwise on the circular track around a ground with radius 50 m (described by right wheel).If the size of each wheel is of 1 foot radius and the right wheel turns 1000times, how many times will the other wheel turn?View question
Q.1285·Miscellaneous·2024·EasyLet k be a positive integer. What is the quotient when x^8k+3 + x^8k+6 + x^8k+9 + x^8k+12 is divided by (1 +x^3)(1+x^6) ?View question
Q.1286·Miscellaneous·2024·EasyWhich of the following statements are not correct? 1.In world politics, ‘hard power’ can be exercised by both States and other actors involving use of threat or coercion. 2.Globalisation is necessarily economic, not cultural. 3.The term ‘Washington Consensus’ refers to a policy that seeks intervention in the market. 4.‘Autarky’ is generally understood as economic ‘self-sufficiency’. Select the correct answer using the code given below:View question
Q.1288·Miscellaneous·2024·EasyWhich one amongst the following cannot be a feature of a 'totalitarian regime'?View question
Q.1289·Miscellaneous·2024·EasyIn a class containing 200 students, n students prefer both tea and coffee; 2n students prefer coffee, 3n students prefer tea; 4n students prefer neither tea nor coffee. What is the value of n?View question
Q.1290·Miscellaneous·2024·EasyA square is drawn inside a square of side 14 cm in such a way that the corners of the inner square coincide with the mid points of the sides of the outer square. What is the area lying between the two squares?View question
Q.1291·Miscellaneous·2024·EasyA question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : In how many days can A, B and C together finish the work? Statement-I: A and B together can finish the work in 24 days Statement-II : B and C together can finish the work in 36 days Which one of the following is correct in respect of the above Question and the Statements?View question
Q.1292·Miscellaneous·2024·EasyWhich one of the following correctly describes the principle of the working of an atomic clock?View question
Q.1293·Miscellaneous·2024·EasyThe base of a right-angled triangle is 4/3 times the height of triangle. If the area of the triangle is 54 square cm, then what is the perimeter of the triangle?View question
Q.1294·Miscellaneous·2024·EasyPolitical analysis involves both normative and empirical approaches. Which of the following statements is/are correct about the two approaches? 1.Knowledge acquired through the empirical approach is value-loaded 2.Knowledge acquired through the normative approach is objectively neutral. Select the correct answer using the code given below.View question
Q.1296·Miscellaneous·2024·EasyConsider the following statements about Madurai, the capital city of the Pandya kingdom: 1.It has been described in Maduraikkanchi as a large grand city, enclosed by walls on three sides and the Vaigai river on the fourth side. 2.The Arthashastra mentions it as a centre of fine cotton textiles. 3.Other literary sources describe it as a major craft centre. Which of the statements given above is/are correct?View question