Practice Mensuration Questions and Answers

• Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 1...
• The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Tak...
• A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 c...
• A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise...
• A solid cylinder has the total surface area 231 sq.cm. If its curved surface area is of the total surface area, then the volume of the cylinder is
• The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant heigh...
• The diameter of a sphere is twice the diameter of another sphere, The surface area of the first sphere is equal to the volume of the second sphere, The mag...
• A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 ...
• A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
• From the top of a cliff 100 meter high, the angles of depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower i...
• Lateral surface area of a cube is 420 cm2   less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. If the s...
• The area of a square is 45 sq. cm more than the area of a rectangle of length 15 cm and breadth 12 cm. What will be the area of incircle of the square?
• The area of a square is 24 sq. cm more than the area of a rectangle of length 12 cm and breadth 10 cm. What will be the area of incircle of the square?
• The area of a square is 38 sq. cm more than the area of a rectangle of length 19 cm and breadth 17 cm. What will be the area of incircle of the square?
• ‘A’ invested Rs. 4680 for ‘x’ months while ‘B’ invested Rs. 780 less amount than ‘A’ for (x + 5) months. If...
• A and B together started a business with initial investment in the ratio of 3:5, respectively. The time-period of investment for A and B is in the ratio of...
• B invests 30% of his monthly salary on Travelling and 20% of remaining on Food. Again, he invested 25% of the remaining (after travelling and food expenses...
• A man distributes 10%, 18% and 22% of his salary into his three children who spend 40%, 60% and 25% of that amount respectively. The difference between the...
• Mohini's Biology test had 250 questions i.e. 20 Macromolecules, 60 Homeostasis and 70 Immunology questions. Although she answered 70% of the Macromolecules...
• A salesman’s terms were changed from a flat commission of 9% on all his sales to a fixed salary of Rs. 4000 plus 4% commission on all sales exceeding...
• In a class of 50 students and 20 teachers, each student got gifts that were 24% of total number of students and each teacher got gifts that were 16% of tot...
• The length of a rectangle, area of which is 105 cm2, is equal to the radius of a circle of area 1386 cm2. Find the perimeter of the rectangle?...
• In a zoo, 30% of the people are males. 50% of the remaining are females and the remaining 630 are children. Find the total number of people in a zoo.
• The length of a rectangle, area of which is 168 cm2, is equal to the radius of a circle of area 616 cm2. Find the perimeter of the rectangle?...
• A, B and C enter into a partnership, A invest 2X + 5000, B invest X + 15000 and C invest 5X + 2000 for one year if B share is 10000 from total profit of 20...
• The length of a rectangle, area of which is 315 cm2, is equal to the radius of a circle of area 3850 cm2. Find the perimeter of the rectangle?...
• The ratio of the breadth to the length of a rectangular field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2 is Rs. 19...
• The ratio of the breadth to the length of a rectangular field is 3:4. The total cost of cutting the grass of the field at the rate of Rs 12 per m2 is Rs. 2...
• The ratio of the breadth to the length of a rectangular field is 3:4. The total cost of cutting the grass of the field at the rate of Rs 12 per m2 is Rs. 3...
• If the area of square is 441 cm²  and the breadth of rectangle is 20% more and the length is 50% more than the side of the square, then find the the area...
• If the area of square is 225 cmsup2; and the breadth of rectangle is 20% more and the length is 30% more than the side of the square, then find the the are...
• If the area of square is 196 cm²  and the breadth of rectangle is 25% more and the length is 40% more than the side of the square, then find the the area...
• If 2156 is added in a number then number become 344(4/9)%  of itself. Find the original number?
• Radius of a cylinder is increased by 20% and height reduces by 40% so what effect on the volume of cylinder?
• If the income tax is increased by 14% then net income is reduce by 6%. Find the rate of income tax?
• If the Ratio of the cuboid of the length, breath and height is 2:3:5. If length, breadth and height is increased by 25%, 10%, 30% respectively then find th...
• A man spends 70% of his income. If his income is increased by 25% and expenditure is increase by 20%. Find the % change in saving?
• If a student scores 35% marks, then he is failed by 60 marks but he scores 48% marks he is passed by 96 marks. Find the passing percentage?
• The population of a town is 64000. It increased by 10% during the first year. During the second year, it decreased by 25% and increased by 5% during the th...
• Pankaj gives 15% of her salary to his wife, 5% of the remaining amount to his children and 20% of the remaining to his parents. If Pankaj is left with Rs. ...