Q.7525·Miscellaneous·2018·EasyThe radius and slant height of a right circular cone are 5 cm and 13 cm respectively. What is the volume of the cone?View question
Q.7526·Miscellaneous·2018·EasyTwo equal circular regions of greatest possible area are cut off from a given circular sheet of area A. What is the remaining area of the sheet?View question
Q.7527·Miscellaneous·2018·EasyIf the ratio of the radius of the base of a right circular cone to its slant height is 1 : 3, what is the ratio of the total surface area to the curved surface area?View question
Q.7528·Miscellaneous·2018·EasyA right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular to its axis. The volume of the smaller cone and the frustum of the cone are in the ratio 64 : 61. Then their curved surface areas are in the ratioView question
Q.7529·Miscellaneous·2018·EasyIn a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book-shelves of size 4 m × 1 m × 9 m are also placed in the room. If half of the rest of the area in the room is to be carpeted at the rate of ₹ 100 per square metre, what is the cost of carpeting (approximately)?View question
Q.7530·Miscellaneous·2018·EasyWhat is the volume of a cone of maximum volume cut out from a cube of edge 2a such that their bases are on the same plane?View question
Q.7531·Miscellaneous·2018·EasyThere are as many square centimetres in the surface area of a sphere as there are cubic centimetres in its volume. What is the radius of the sphere?View question
Q.7532·Miscellaneous·2018·EasyThe locus of the mid-points of the radii of length 16 cm of a circle isView question
Q.7533·Miscellaneous·2018·EasyConsider the following statements : 1. The orthocentre of a triangle always lies inside the triangle. 2. The centroid of a triangle always lies inside the triangle. 3. The orthocentre of a right angled triangle lies on the triangle. 4. The centroid of a right angled triangle lies on the triangle. Which of the above statements are correct?View question
Q.7534·Miscellaneous·2018·EasyThe locus of a point equidistant from two intersecting lines isView question
Q.7535·Miscellaneous·2018·EasyConsider the following statements : Two triangles are said to be congruent, if 1. Three angles of one triangle are equal to the corresponding three angles of the other triangle. 2. Three sides of one triangle are equal to the corresponding three sides of the other triangle. 3. Two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other triangle. 4. Two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. Which of the above statements are correct?View question
Q.7536·Miscellaneous·2018·EasySI : First and foremost, there are order and safety in our civilization. S6: Nobody may come and break into my house and steal my goods. P : Thus in disputes between man and man, right has taken the place of might. Q : If today I have a quarrel with another man, I do not get beaten merely because I am physically weaker. R : I go to law, and the law will decide fairly between the two of us. S : Moreover, the law protects me from robbery and violence. The correct sequence should beView question
Q.7537·Miscellaneous·2018·EasyS1: In democratic countries, men are equal before the law. S6: And they live like this not for fun, but because they are too poor to afford another room. P: While some few people live in luxury, many have not enough to eat, drink and wear. Q: There are many families of five or six persons who live in a single room. R: But the sharing-out of money – which means the sharing-out of food and clothing and houses – is still very unfair. S: In this room they sleep and dress and wash and eat, and in this same room they die. The correct sequence should beView question
Q.7538·Miscellaneous·2018·EasyS1: Tomorrow it will be a year since we lost our great leader. S6: Though he is no more with us, the qualities he possessed and the ideals he cherished remain with us. P: To these he added a feminine sensitiveness to atmosphere. Q: He was involved in the major events of his time. R: He participated in them all while maintaining the highest standards of public conduct. S: He was incomparably the greatest figure in our history – a man of dynamic force, intellectual power and profound vision. The correct sequence should beView question
Q.7539·Miscellaneous·2018·EasyS1: It would be possible to adduce many examples showing what could be done with the limited means at our ancestor’s disposal in the way of making life comfortable. S6: I hope, in this essay, to make that connection manifest. P: What have comfort and cleanliness to do with politics, morals, and religion? Q: But look more closely and you will discover that there exists the closest connection between the recent growth of comfort and the recent history of ideas. R: They show that if they lived in filth and discomfort, it was because filth and discomfort fitted in with their principles, political, moral and religious. S: At a first glance one would say that there could be no causal connection between arm chairs and democracies, sofas and the family system, hot baths and religious orthodoxy. The correct sequence should beView question
Q.7540·Miscellaneous·2018·EasyS1: To most people, the term technology conjures up images of mills or machines. S6: It includes ways to make chemical reactions occur, ways to breed fish, plant forests or teach history. P: The classic symbol of technology is still the assembly line created by Henry Ford half a century ago. Q: The invention of the horse collar in the Middle Ages led to changes in agricultural methods and was as such a technological advance. R: Moreover, technology includes techniques, as well as the machines that may or may not be necessary to apply them. S: This symbol, however, has always been inadequate, for technology has always been more than factories and machines. The correct sequence should be View question
Q.7541·Miscellaneous·2018·EasyS1: I was the secretary of the Philosophical Society of the Patna College. S6: I have been to Kolkata many times since, but never has it been more pleasant than that first visit. P: It was my first visit to the city and its impression on my mind was indelible. Q: In that capacity, I once led a trip to Kolkata. R: I felt I had landed in the midst of beautiful dream world of a fairy land. S: I saw the roads, the trams, the skyscrapers and the magnificent shops at the Chowranghee lane. The correct sequence should beView question
Q.7542·Miscellaneous·2018·EasyS1: Union finance ministry announced a series of concessions to trade and industry last month. S6: Manufacturers feel that prices of certain components may not be brought down because of the imposition of a 30 per cent duty where there was none earlier. P: Together, these will result in a loss of revenue of Rs. 100 crore to the exchequer. Q: Earlier, these were attracting customs duty varying from zero to 100 per cent. R: The chunk of the relief of Rs. 60 crore has gone to the electronics industry. S: Raw materials and piece parts now carry customs duty of 30 per cent and 40 per cent ad valorem respectively. The correct sequence should beView question