Mensuration CUET General Test MCQs

Question: A rectangle measures 50 cm × 25 cm. Its area is
a) 1150 sq. cm
b) 1250 sq. cm
c) 1275 sq. cm
d) 1280 sq. cm

Answer: b

Question: Perimeter of a rectangular field is 760 m and its length and breadth are in the ratio 11 : 8. Area of this rectangular field is
a) 35200 sq. m
b) 34700 sq. m
c) 35600 sq. m
d) 45200 sq. m

Answer: a

Question: Find the area of the square whose each side measures 20 cm.
a) 300 sq. cm
b) 380 sq. cm
c) 360 sq. cm
d) 400 sq. cm

Answer: d

Question: The base and the height of a triangle is 8 cm and 10 cm respectively. Its area will be
a) 40 sq. cm
b) 20 sq. cm
c) 49 sq. cm
d) 64 sq. cm

Answer: a

Question: If side of a square is reduced by 50%, its area will be reduced by
a) 50%
b) 75%
c) 80%
d) 60%

Answer: b

Question: A field is in the form of a square whose perimeter is 580 m. Area of this field is
a) 20025 sq. m
b) 20225 sq. m
c) 30025 sq. m
d) 19975 sq. cm

Answer: a

Question: The radii of two circles are 5 cm and 12 cm respectively. Find the radius of a circle which is equal in area to these two circles.
a) 15 cm
b) 13 cm
c) 10 cm
d) 8 cm

Answer: b

Question: If area of a square is equal to the area of a rectangle 6.4 m long and 2.5 m wide, then each side of this square measures
a) 8 m
b) 5.4 m
c) 3.8 m
d) 4 m

Answer: d

Question: The difference between the areas of two squares is 225 sq. metres and each side of the bigger square is 25 metres. The side of the smaller square is
a) 18 m
b) 21 m
c) 20 m
d) 22 m

Answer: c

Question: If perimeter of a right angled triangle is six times its smallest side, then the three sides of this triangle are in the ratio of
a) 13 : 5 : 12
b) 13 : 12 : 5
c) 12 : 5 : 13
d) 13 : 5 : 10

Answer: b

Question: Area of a circle is 154 sq. cm. Its circumference will be
a) 44 cm
b) 48 cm
c) 54 cm
d) 68 cm

Answer: a

Question: The perimeter of a square is 24 m and that of another is 32 m. Find the perimeter of a third square area of which is equal to sum of the areas of these two squares
a) 40 m
b) 51 m
c) 37 m
d) 42 m

Answer: a

Question: If it is given that the parallel sides of a trapezium are 15 m and 25 m while the distance between them is 10 m. its area will be
a) 150 sq. m
b) 225 sq. m
c) 200 sq. m
d) 270 sq. m

Answer: c

Question: If the perimeter of an equilateral triangle is 72 cm, its area will be
a) 144 √3 sq. cm
b) 142 √3 sq. cm
c) 154 √2 sq. cm
d) 144 √2 sq. cm

Answer: a

Question: Three sides of a triang le are in th e ratio of 17 : 15 : 8. If the perimeter of this triangle is 40 m, find its area
a) 50 sq. m
b) 49 sq. m
c) 60 sq. m
d) 69 sq. m

Answer: c

Question: If the circumference of a circle is equal to the perimeter of a square, then their areas are in the ratio of
a) 14 : 11
b) 7 : 8
c) 14 : 13
d) 13 : 11

Answer: a

Question: If each side of a square is doubled, its area will become
a) double
b) four times
c) three times
d) eight times

Answer: b

Question: If the length of a rectangle is increased by 20% and width is decreased by 15%, then its area
a) decreased by 4%
b) increases by 2%
c) decreases by 2%
d) increases by 3%

Answer: b

Prism; Right Circular Cone; Right Circular Cylinder; Sphere; Hemisphere; Right Pyramid; Rectangular Parallelepiped

Question: A solid in the form of a cuboid is 4 cm × 3 cm × 2 cm. Its volume will be
a) 20 cu cm
b) 22 cu cm
c) 28 cu cm
d) 24 cu cm

Answer: d

Question: A rectangular piece of paper is 30 cm long and 20 cm wide. How many ways can be adopted if one wants to give this rectangular piece of paper a cylindrical form?
a) Three
b) Two
c) One
d) Four

Answer: b

Question: Surface area of a cube is 1014 sq. cm. Its volume will be
a) 2197 cu cm
b) 2297 cu cm
c) 2179 cu cm
d) 2117 cu cm

Answer: a

Question: Two spheres have their surface areas in the ratio 9 : 16. Their volumes are in the ratio of
a) 64 : 27
b) 27 : 64
c) 16 : 27
d) 11 : 27

Answer: b

Question: The length of the longest rod that can be place in a room 12 m long, 9 m broad and 8 m high is
a) 17 m
b) 18 m
c) 25 m
d) 16 m

Answer: a

Question: Circumference of the base of a cylinder is 88 cm and height of the cylinder is 42 cm. Its volume is
a) 25872 cu cm
b) 28572 cu cm
c) 25870 cu cm
d) 22584 cu cm

Answer: a

Question: A reservoir is 3 m long, 2 m wide and 1 m deep. Its capacity in litres is
a) 8000 litres
b) 10000 litres
c) 6500 litres
d) 6000 litres

Answer: d

Question: It fwo cubes each of 10 cm side are kept close to each other, then the cuboid so formed will have surface area equal to
a) 1200 sq. cm
b) 5000 sq. cm
c) 1000 sq. cm
d) 1250 sq. cm

Answer: c

Question: In the above question, the cylinders formed will have their volumes in the ratio of
a) 2 : 3
b) 3 : 1 : 1
c) 3 : 2
d) 1 : 3 : 1

Answer: c

Question: The radius and the height of a right circular cone are in the ratio of 3 : 5. If its volume is 120π cu m, its slant height is
a) 3 √34m
b) 2 √28m
c) 2 √44m
d) 2 √34m

Answer: d

Question: If a solid sphere of 3 cm radius is melted and recast into a right circular cone whose base radius is same as that of the sphere, the height of the cone will be
a) 8 cm
b) 12 cm
c) 6 cm
d) 5 cm

Answer: b

Question: If each edge of a cube is increased by 10%, then by how much percent will the surface area of this cube be increased?
a) 21%
b) 18%
c) 15%
d) 20%

Answer: a

Question: If the volumes of two cubical blocks are in the ratio of 8 : 1, what will be the ratio of their edges?
a) 1 : 2
b) 2 : 1
c) 4 : 1
d) 2 : 3

Answer: b

Question: The surface area of a cube is 600 sq. m. Its diagonal is
a) 10 √3 cm
b) 5 √3 cm
c) 4 √2 cm
d) 10 √2 cm

Answer: a

Question: Height and base radius of a solid cylinder are 14 m and 4 m respectively. It is melted and recast into a solid cone of the same base radius as that of the cylinder, what will be the height of the cone?
a) 21 m
b) 42 m
c) 48 m
d) 54 m

Answer: b

Question: A room is in the form of a cube of side 10 m. How many bales of cotton can be kept in it if each bale covers 5 cu m space?
a) 100
b) 175
c) 200
d) 225

Answer: c

Question: Diameter of a roller is 2.4 m and it is 1.68 m long. If it takes 1000 complete revolutions once over to level a field, the area of the field is
a) 12672 sq. m
b) 12671 sq. m
c) 12762 sq. m
d) 11768 sq. m

Answer: a

Question: If base diameter of a cylinder is increased by 50%, then by how much percent its height must be decreased so as to keep its volume unaltered?
a) 45.56%
b) 55.56%
c) 50.16%
d) 62.33%

Answer: b

Question: The base diameter of a conical tomb is 28 m and its slant height is 50 m. Find the cost of whitewashing its curved surface at the rate of 80 paise per sq. m?
a) Rs 1860
b) Rs 1760
c) Rs 1950
d) Rs 1875

Answer: b

Question: Three cubes having side 2 cm, 3 cm respectively are melted together to form a new cube. The side of the new cube will be
a) 3.526 cm
b) 4.628 cm
c) 4.626 cm
d) 4.528 cm

Answer: c