Aptitude - Mensuration Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.






A rectangle has width a and length b. If the width is decreased by 20% and the length is increases by 10%, then what is the area of the new rectangle in percentage compared to ’ab’ ?





What is the largest number of pipes of the shape of right circular cylinders with length10 cm and radius 1 cm that can be fitted into a box, all of whose sides are 20 cm in length?





If the surface areas of two spheres are in the ratio 4:25, then the ratio of their volumes is:





The ratio between the length and the perimeter of a rectangular plot is 1 : 3. What is the ratio between the length and breadth of the plot?





The length of a ladder is exactly equal to the height of the wall it is resting against. Iflower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m awayfrom the wall, the upper end of the ladder coincides with the top of the wall. Then,the height of the wall is:





The curved surface area of a cylinder pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height





Cost of painting the 4 walls of a room 40ft.*15ft. At Rs.5 per square feet is Rs.7500. Find the height of the room?





The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is





A rectangular plot 15 m x10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.






The distance between the points (-9, 5) and (-8, -20) is






The area of the triangle whose vertices are (a, a), (a + 1, a + 1), (a + 2, a) is :





In the adjoining figure, AC + AB = 5 AD and AC - AD = 8. The area of the rectangle ABCD is:





A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is:





If the area of a square increases by 69%, then the side of the square increases by





Find the area of the cyclic quadrilateral whose sides are 15,12,10 and 13 cms.





If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100sq.cm. The sides of the rectangle are





If the perimeter of a rectangle is 90, what is the area of the rectangle?






if the volume of a cube is 729 cm3, then the surface area of the cube will be





ABCD is a rhombus with the diagonals AC and BD intersecting at the origin on the x - y plane. The equation of the straight line AD is x + y = 1. What is the equation of BC?





The angle of elevation of a ladder leaning against a wall is 600 and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:





Find the slope of the line given by the equation y + 2 = 6/8 (c – 9)?






The height of the Qutub Minar is 230 metres. It is planned that a stairway from ground to the topof the Minar would be made by arranging cube shaped boulders in a step like fashion. A man firstplaces a boulder on the ground. He then steps on to it, and then throws one boulder down such thatit touches the side of the previous bolder, and then places one over the new one. He then climbsonto the last boulder thus placed and continues to do the same to create steps right to the top, witheach of his step being 1 metre. If each boulder measures 1 cubic metre, how many boulders arerequired in all ?





If the area of an equilateral triangle is 24√3 sq. cm, then its perimeter is





The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. The height of the mountain is





The area of rectangular-field is 460 square metres. If the length is 15 per cent more than the breadth .what is the breadth of the rectangular field?






The ratio between rhe perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?






A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:





The sum of the radius of the base and height of a solid cylinder is 40m. If the total surface area of the cylinder is 1760 m2 its volume is:





If an arc of 600 on circle I has the same length as an arc of 450 on circle II, what is the ratio of thearea of circle I to that of circle II ?





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