Practice Mensuration Questions and Answers

• Each side of square ‘A’ is 8 cm less than that of square ‘B’. The perimeter of a rectangle is 6 times the difference of the perimeters of the two s...
• The diameter of the base of a cylindrical drum is 14 cm and its height is 12 cm. The drum is full of water and the water from the drum is transferred to �...
• The diameter of the base of a cylindrical drum is 28 cm and its height is 15 cm. The drum is full of water and the water from the drum is transferred to �...
• The diameter of the base of a cylindrical drum is 70 cm and its height is 15 cm. The drum is full of water and the water from the drum is transferred to �...
• The sum of the total surface areas of two cubes is 1392 cm2. If the product of the length of their edges is 98 cm2, then find the difference (in cm) betwee...
• The sum of the total surface areas of two cubes is 1926 cm2. If the product of the length of their edges is 136 cm2, then find the difference (in cm) betwe...
• The sum of the total surface areas of two cubes is 1326 cm2. If the product of the length of their edges is 98 cm2, then find the difference (in cm) betwee...
• The sum of the total surface areas of two cubes is 1572 cm2. If the product of the length of their edges is 99 cm2, then find the difference (in cm) betwee...
• The sum of the total surface areas of two cubes is 2328 cm2. If the product of the length of their edges is 96 cm2, then find the difference (in cm) betwee...
• The sum of the total surface areas of two cubes is 1548 cm2. If the product of the length of their edges is 97 cm2, then find the difference (in cm) betwee...
• Inside a square land having perimeter equal to 64 metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a co...
• Inside a square land having perimeter equal to 76 metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a co...
• Inside a square land having perimeter equal to 116 metres, leaving aside a circular land of radius 14 metres, the remaining land needs to be levelled at a ...
• The perimeter of a rectangular field is 22 metres and its area is 20 m^2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 44 metres and its area is 61.5 m2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 20 metres and its area is 18 m2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 42 metres and its area is 108 m2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 60 metres and its area is 137.5 m2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 44 metres and its area is 114 m2 . What is the length of the diagonal of this field?
• The perimeter of a rectangular field is 70 metres and its area is 100.5 m2 . What is the length of the diagonal of this field?
• Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠ PAB = 40° . The mea...
• Which of the following numbers  is a divisor of (4915 – 1)?
• The value of tan2 θ + cot2 θ − sec2 θ cosec2 θ is:
• The mean proportion of 169 and 144 is:
• The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?
• The length and breadth of a rectangle are increased by 8% and 5%, respectively. By how much percentage will the area of the rectangle increase?
• Radius of a circle is 10 cm. Angle made by chord AB at the centre of this circle is 60 degree. What is the length of this chord?
• In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, length of the base QR is 8 units, and length of the side PQ is 15...
• How many spherical lead shots each of diameter 8.4 cm can be obtained from a rectangular solid of lead with dimension 88 cm, 63cm, 42 cm(take π 22/7)?
• If cot x – tan x = 3/2, then what will be the value of cot x + tan x?
• If the diameter of a sphere is 63 cm, then what is the total surface area of the sphere?
• On a rectangular wall of length 21 metres and height 18 metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle ...
• On a rectangular wall of length 22 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle ...
• In the election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning cadidate got 48% of the total votes ...
• In the given figure, a circle is inscribed in Δ PQR, such that it touches the sides PQ, QR and RP at points D, E, F, respectively. If the lengths of the s...
• Which of the following two will provide more volume? I) A cuboid of edges 6 cm, 7 cm and 8 cm II) A cube of edge 7 cm
• A circular clock has the hour hand of length 6 inch. Find the length of the distance it covers by it's tip from 9 p.m. to 3 a.m.