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Practice Mensuration Questions and Answers

A sum of Rs. 15979 was divided between Wasim and Simran in such a way that if both invested their shares at 5 percent compound interest per annum. the amou...
Curved surface area of cylinder is 1617 cm2. If ratio of radius to height of the cylinder is 25:21 respectively, then find the base area of the cylinder. ...
Curved surface area of cylinder is 646.8 cm2. If ratio of radius to height of the cylinder is 10:4 respectively, then find the base area of the cylinder....
The length, breadth and height of a storeroom are 14m, 9m and 10m respectively. If each box occupies 60 m3 of space, then how many boxes can be placed in t...
The length, breadth and height of a storeroom are 14m, 5m and 8m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in th...
The length, breadth and height of a storeroom are 17m, 10m and 12m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in ...
The length, breadth and height of a storeroom are 15m, 8m and 9m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in th...
The length, breadth and height of a storeroom are 16m, 9m and 10m respectively. If each box occupies 60 m3 of space, then how many boxes can be placed in t...
The length, breadth and height of a storeroom are 12m, 7m and 10m respectively. If each box occupies 40 m3 of space, then how many boxes can be placed in t...
Perimeter of a square is equal to perimeter of a rectangle, if area of square is 324 sq.cm and length of rectangle is two times that of breath. Find the ar...
Perimeter of a square is equal to perimeter of a rectangle, if area of square is 900 sq.cm and length of rectangle is four times that of breath. Find the a...
A sold a mobile phone to B at a gain of 25% and B sold it to Cat a loss of 10%. If C paid 5625 for it, how much did A pay (in) for the phone?
The angle of elevation of the top of an unfinished tower at a point distant 78 m from its base is 30°. How much higher must the tower be raised (in m) ...
Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number ...
If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x3 + 216y³)?
The length of a rectangle is twice its breadth. If its length is decreased by 6 cm and breadth is increased by 6 cm, the area of the rectangle is increased...
A barrel has 140 liters of mixture of alcohol and water, in which water is 10%. 30 litre of this mixture was taken out and replaced with “X” li...
A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between the interest at the end ...
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ BCD...
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the ...
An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%....
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠ ...
Monthly income of A is Rs. 9600 and he saves 38% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is increa...
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 50000 which is 4 times the monthly income of ‘C’....
Raman gave a certain amount to his son Ritesh for buying some pens and pencils. With this amount Ritesh can purchase either 10 pens or 30 pencils. Ri...
Ali the barber shaved 32% of his customers and gave a haircut to 64% of his customers. He charged Rs. 6 for a shave and Rs. 4 for a haircut. If 15% of cust...
A candidate just passed by getting 150 answers correct by attempting 225 of the total questions. Find the total number of questions in the examination if a...
A Sales Executive gets a commission on total sales at 10%. If the sale is exceeded Rs.15,000 he gets an additional commission as a bonus of 5% on the exces...
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 30 m, then find the area of t...
The sum of the perimeters of a square and a rectangle is 124 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area of ...
The sum of the perimeters of a square and a rectangle is 132 metres. If the sum of the length and breadth of the rectangle is 34 cm, then find the area of ...
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 28 cm, then find the area of ...
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area of ...
The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 31 cm, then find the area of ...
The sum of the perimeters of a square and a rectangle is 118 metres. If the sum of the length and breadth of the rectangle is 33 cm, then find the area of ...
The angle of elevation of the top of a tower from a point on ground which is 30 mtrs. away from the foot of the tower is 30°. Height of the tower is: 1.10...
A metallic sphere of radius 4.2 cms. Is melted and recast into the shape of a cylinder of radius 6 cms. Height of the resultant cylinder would be:
The perimeter of an equilateral triangle is 36√3 cm. Find its height.
A solid metallic rectangular block of dimensions 112 cm × 44 cm × 25 cm is melted and recast into a cylinder of radius 35 cm. The curved surface area (in...

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