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Basic Mathematics QuestionsAre you prearding for Engineering Entrance Test? Mathematics is one of the mandatory papers for most of the Engineering Entrance tests as well many other tests.
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| Question | Category | | A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is and when he retires 40 meter away from the tree the angle of elevation becomes . The breadth of the river is | Mathematics - Basic | | Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is | Mathematics - Basic | | Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60o). In the position of minimum deviation, the angle of refraction will be | Mathematics - Basic | | The perimeter of a rhombus is 52 units. One of its diagonal is 24 units.What is its second diagonals length? | Mathematics - Basic | | If P(n,r) = 30240 and C(n,r) = 252 then the ordered pair (n,r) = | Mathematics - Basic | | The number of numbers greater than 50,000 that can be formed using the digits 0,1,1,5,9 is | Mathematics - Basic | | IF X be the real the minimum value of x2+6x-1 is | Mathematics - Basic | | 12 different alphabets of a language are given. words with 4 letters are formed from these letters. the number of words which have at least one letter repeated is | Mathematics - Basic | | A sum of money double itself at compound interest in 15 years. In how many years will it becomes eight times ? | Mathematics - Basic | | Find compound interest on Rs. 6250 at 16% per annum for 2 years compounded annually. | Mathematics - Basic | | Two cubes have their volumes in the ratio 1:27, find the ratio of their surface areas. | Mathematics - Basic | | A piece of land 1000m by 800m is divided into four equal rectangular plots by 2 roads perpendicular to each other and 20m wide. Find the cost of construction of the road at Rs. 5 per sq.m. | Mathematics - Basic | | The frustum of a right circular cone has base diameter 10cm, diameter of the top is 6cm and the height is 5cm. Calculate its volume and whole surface are : | Mathematics - Basic | | The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. If the total surface area is 616cm2, the volume of the cylinder is. | Mathematics - Basic | | If the radius of a sphere is doubled, then its surface area is increased by ____. | Mathematics - Basic | | A spherical lead ball of radius 10cm melted and small lead balls of radius 5mm are made. The total number of possible small lead balls is. | Mathematics - Basic | | A river 2m deep and 45m wide is running at the rate of 3km/hr. The amount of water that runs in to the sea per minutes. | Mathematics - Basic | | A closed wooden box with external dimensions 80cm * 60cm * 40cm is made of 2 cm thick wood. If 1 cm3 of wood weight 10gms, Find the weight of the empty box. | Mathematics - Basic | | A tent is in the farm of a right circular cylinder surrouned by a cone. The diameter of cylinder is 24 cm. The height of the cylindrical portion is 11cm. While the vertex of the cone is 16cm above the ground. Find the area of the canvas required for the tent. | Mathematics - Basic | | The base of a right prism is of triangular shape whose sides are 6cm, 8cm, 10cm respectively. Find the volume and the perimeter of the prism if its height is 15cm. | Mathematics - Basic | | The slant height of a right circular cone is 10m and its height is 8m. Find the area of the curved surface. | Mathematics - Basic | | How many bricks are required to build a wall 15m long, 3m high, and 50cm thick, if each brick measures 25cm by 12cm by 6cm. | Mathematics - Basic | | If 250 Cubic m of sand be thrown into a tank 10m and 5m wide, then find how much the water will rise. | Mathematics - Basic | | The lateral surface area of a cylinder is 1050 sq cm and its height is 16cm. find its volume. | Mathematics - Basic | | A hollow roller, 33cm wide with girth 110 cm is made of iron 3cm thick. Find the volume of iron used. | Mathematics - Basic | | If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one ? | Mathematics - Basic | | How many bullets can be made out of a cube of lead whose edge measures 22cm, each bullet being 2cm in diameter ? | Mathematics - Basic | | The diagonal of a cube is 6cm. Find its volume and surface area. | Mathematics - Basic | | In Mathematics, India's most precious gift to the world is
| Mathematics - Basic | | If A and B are two sets each wh finite number of elements. If thre is an injective mapping frm A to B and there is an injective mappig from B to A then. | Mathematics - Basic | | In the figure given, the difference (in length) between the diagonal of the square and diameter of the circle is | Mathematics - Basic | | A room is half as broad as it is high and 1 1/2 times as high as long. If the cost of carpeting the floor at Rs. 3 per sq.m., is Rs. 144, the height of the room (in metres) is | Mathematics - Basic | | If the radius of a circle is tripled, its perimeter will become how many times of its previous perimeter ? | Mathematics - Basic | | A cow is placed for grazing inside an equilateral triangular field of side 10metres and is tethered to one of the vertex of the field by a rope 7 metres long. The area over which cow can graze is | Mathematics - Basic | | A rectangular plot 90m * 50 m has two 10m wide roads running in the middle of it, one parallel to the length and the other parallel to the breadth. Area of the plot used in roads is | Mathematics - Basic | | Total area of 64 small squares of a chess board is 400 sq.cm. A border round the board is 3 cm wide. Then the length of the side of chess board is | Mathematics - Basic | | A piece of cloth was 50cm broad and 100cm. long. After washing, it was found to have lost 20% of its length and 10% of its breadth. The decrease in its area is | Mathematics - Basic | | The length of a rectangular plot is 40% more than its breadth. If the difference between the length and breadth is 20metres, what is the area of the rectangle? | Mathematics - Basic | | The diameter of a circle is 35cms. What is the absolute difference in the area and the circumference of the circle? | Mathematics - Basic | | The area of the four walls of a room is 128 sq.m. The length is equal to the width and the height is 4 metres. The area of the floor of the room is | Mathematics - Basic | | If the cost of carpeting a room 7m long and 5m broad at Rs. 1.25 a meter is Rs. 131.25, the width of the carpet in meters is | Mathematics - Basic | | The perimeters of two squares are 24cm and 32cm. The perimeter (in cm) of a third square equal in area to the sum of the areas of these squares is | Mathematics - Basic | | Find the radius of a circle whose area is equal to the sum of areas of two circles with radii 6cm and 8cm. | Mathematics - Basic | | A rectangular farm has to be fenced on one long side, one short side and the diagonal. If the cost of fencing is Rs. 10 per metre, the area of farm is 1200 m2 and the short side is 30m long, how much would the job cost? ? | Mathematics - Basic | | The perimeter of a square is 50cm. The length of the rectangle, which is 10cm wide and has area equal to that of the square, is | Mathematics - Basic | | A square field with side 30 meters is surrounded by a path of uniform width. If the area of the path is 256 m2, the width of the path is | Mathematics - Basic | | The diagonal of square field is 50m. The area of the field (in m2) is | Mathematics - Basic | | The diameters of two concentric circles are 8cm and 10cm. The area of the region between them is | Mathematics - Basic | | A road 3.5m wide surrounds a circular plot whose circumference is 44m. The cost of paving the road at Re. 1 per sq.m is | Mathematics - Basic | | Three squares have perimeters of 12m, 20m and 24m respectively. If a rectangle is constructed whose area is equal to the combined area of the three squares such that its width is 7m, then the length of the rectangle is | Mathematics - Basic |
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