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Which of the following are like terms? (a) 5xyz², – 3xy²z (b) – 5xyz², 7xyz² (c) 5xyz², 5x²yz (d) 5xyz², x²y²z²

Answer: (b) – 5xyz2, 7xyz2 Like terms are formed from the same variables and the powers of these variables are also the same. But... View Article

Square of 3x – 4y is (a) 9x² – 16y² (b) 6x² – 8y² (c) 9x² + 16y² + 24xy (d) 9x² + 16y² – 24xy

Answer: (d) 9x2 + 16y2 – 24xy As per the condition in the question, (3x – 4y)2 The standard identity is (a – b)2 = a2 –... View Article

Product of 6a² – 7b + 5ab and 2ab is (a) 12a³b – 14ab² + 10ab (b) 12a³b – 14ab² + 10a²b2 (c) 6a² – 7b + 7ab (d) 12a²b – 7ab² + 10ab

Answer: (b) 12a3b – 14ab2 + 10a2b2 A polynomial is defined as an expression that is composed of variables, constants and exponents, that... View Article

Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is (a) 12a3bc2 (b) 12a3bc (c) 12a2bc (d) 2ab +3ac + 2ac

Answer: (a) 12a3bc2 The volume of a cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a... View Article

Area of a rectangle with length 4ab and breadth 6b² is (a) 24a²b² (b) 24ab³ (c) 24ab² (d) 24ab

Answer: (b) 24ab3 Given Length = 4ab Breadth = 6b2 We know that, area of rectangle = length × breadth Area of rectangle = 4ab ×... View Article

Product of the following monomials 4p, – 7q³, –7pq is (a) 196 p²q⁴ (b) 196 pq⁴ (c) – 196 p²q⁴ (d) 196 p²q³

Answer: (a) 196 p2q4 A polynomial is defined as an expression that is composed of variables, constants and exponents, that are combined using... View Article

Sum of a – b + ab, b + c – bc and c – a – ac is (a) 2c + ab – ac – bc (b) 2c – ab – ac – bc (c) 2c + ab + ac + bc (d) 2c – ab + ac + bc

Answer: (a) 2c + ab – ac – bc A polynomial is defined as an expression that is composed of variables, constants and exponents, that... View Article

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

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