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Practice Mensuration Questions and Answers

A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If t...
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?

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