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Which of the following is a binomial? (a) 7 × a + a (b) 6a² + 7b + 2c (c) 4a × 3b × 2c (d) 6 (a² + b)

Answer: (d) 6 (a2 + b) A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

Like term as 4m³n²is (a) 4m²n² (b) – 6m³n² (c) 6pm³n² (d) 4m³n

Answer: (b) – 6m3n2 A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined... View Article

If we subtract –3x²y² from x²y², then we get (a) – 4x²y² (b) – 2x²y² (c) 2x²y² (d) 4x²y²

Answer: (d) 4x2y2 A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

The sum of –7pq and 2pq is (a) –9pq (b) 9pq (c) 5pq (d) – 5pq

Answer: (d) -5pq A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

Which of the following is correct? (a) (a – b)² = a² + 2ab – b² (b) (a – b)² = a² – 2ab + b² (c) (a – b)²= a² – b² (d) (a + b)² = a² + 2ab – b²

Answer: (b) (a – b)2 = a2 – 2ab + b2 (a – b)2 = a2 – 2ab + b2 We have, (a – b) × (a – b) = a ×... View Article

In a polynomial, the exponents of the variables are always (a) integers (b) positive integers (c) non-negative integers (d) non-positive integers

Answer: (c) non-negative integers A polynomial is defined as an expression that is composed of variables, constants and exponents, that are... View Article

The product of a monomial and a binomial is a (a) monomial (b) binomial (c) trinomial (d) none of these

Answer: (b) binomial A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

__________ surface area of room = area of 4 walls.

Answer: Lateral the surface area of room = area of 4 walls. We know that the rooms are in a cuboid shape. The walls are considered as the lateral... View Article

__________ of a solid is the measurement of the space occupied by it.

Answer: The volume of a solid is the measurement of the space occupied by it. The space occupied by any solids or three-dimensional shapes is... View Article

Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along with its breadth respectively. Then the volume of A is twice. The curved surface area of A is ________ curved surface area of B.

Answer: The curved surface area of A is the same curved surface area of B. For cylinder A h= 10 cm r = 10/π Thus, CSA of cylinder A =... View Article

Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth respectively. Then volume of A is ________ of volume of B.

Answer: Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along with... View Article

Area of a rhombus =1/2 product of _________.

Answer: Area of a rhombus =1/2 product of diagonals. Area of a rhombus = pq/2 Where p and q are diagonals. A rhombus is a special case of a... View Article

Volume of a cylinder with radius h and height r is __________.

Answer: Volume of a cylinder with radius h and height r is πh2r cubic units Cylinder is one of the basic 3d shapes, in geometry, which has... View Article

Total surface area of a cylinder of radius h and height r is _________

Answer: Total surface area of a cylinder of radius h and height r is 2πh(r + h) Cylinder is one of the basic 3d shapes, in geometry,... View Article

Curved surface area of a cylinder of radius h and height r is _______.

Answer: Curved surface area of a cylinder of radius h and height r is 2πrh. Cylinder is one of the basic 3d shapes, in geometry, which has... View Article

Opposite faces of a cuboid are _________ in area.

Answer: Opposite faces of a cuboid are equal in area. A cuboid is a three-dimensional figure or solid which has six rectangular sides called... View Article

All six faces of a cuboid are ____ in shape and of area.

Answer: All six faces of a cuboid are rectangular shapes in shape and of different areas. A cuboid is also a polyhedron having six faces, eight... View Article

A trapezium with 3 equal sides and one side double the equal side can be divided into ____ equilateral triangles of _ area.

Answer: A trapezium with 3 equal sides and one side double the equal side can be divided into 3 equilateral triangles of equal areas. Two... View Article

The perimeter of a rectangle becomes __________ times its original perimeter, if its length and breadth are doubled.

Answer: The perimeter of a rectangle becomes two times times its original perimeter, if its length and breadth are doubled. A rectangle is a... View Article

If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is __________.

Answer: If the diagonal d of a quadrilateral is doubled and the heights h1 and h2 falling on d are halved, then the area of quadrilateral is... View Article

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