Q.7525·Miscellaneous·2018·EasyA, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A's contribution, B contributes one-third of E's contribution and C contributes two-third of A's contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is ₹13,500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions)View question
Q.7526·Miscellaneous·2018·EasyA Pie Chart is drawn for the following data: Sector Percentage Agriculture and Rural Development 12·9 Irrigation 12·5 Energy 27·2 Industry and Minerals 15·4 Transport and Communication 15·9 Social Services 16·1 What is the angle (approximately) subtended by the Social Services Sector at the centre of the circle?View question
Q.7527·Miscellaneous·2018·EasyThe arithmetic mean of two numbers is 10 and their geometric mean is 8. What are the two numbers?View question
Q.7528·Miscellaneous·2018·EasyABC is a right angled triangle with base BC and height AB. The hypotenuse AC is four times the length of the perpendicular drawn to it from the opposite vertex. What is tan C equal to?View question
Q.7529·Miscellaneous·2018·EasyABC is a triangle right angled at C with BC = a and AC = b. If P is the length of the perpendicular from C on AB, then which one of the following is correct?View question
Q.7530·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.7531·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.7532·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.7533·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.7534·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.7535·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.7536·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.7537·Miscellaneous·2018·EasyThe locus of the mid-points of the radii of length 16 cm of a circle isView question
Q.7538·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.7539·Miscellaneous·2018·EasyThe locus of a point equidistant from two intersecting lines isView question
Q.7540·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.7541·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.7542·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