Q.1279·Miscellaneous·2024·EasyWhat is the remainder when 70 x 71 x 72 x 73 x 74 x 75 x 76 x 77x 78 x 79 is divided by 1000?View question
Q.1280·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.1281·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 : What is the integral value of k for which the expression 4x²-kx+1 is positive? Statement-I : k -4 Which one of the following is correct in respect of the above Question and the Statements ?View question
Q.1282·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.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·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.1287·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.1288·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.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·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.1291·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.1294·Miscellaneous·2024·EasyWhich one of the following correctly describes the principle of the working of an atomic clock?View question
Q.1295·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·EasyWhich of the following particles are subatomic particles? 1.Electron 2.Proton 3.Neutron 4.Muon Select the correct answer using the code given below.View question