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The factorised form of 3x – 24 is (a) 3x × 24 (b) 3 (x – 8) (c) 24 (x – 3) (d) 3(x – 12)

Answer: (b) 3 (x – 8) When a number is said to be a factor of any other second number, then the first number must divide the second number... View Article

Number of factors of (a + b)² is (a) 4 (b) 3 (c) 2 (d) 1

Answer: (c) 2 When a number is said to be a factor of any other second number, then the first number must divide the second number completely... View Article

An irreducible factor of 24x²y² is (a) x² (b) y²(c) x (d) 24x

Answer: (c) x Common factors are defined as factors that are common to two or more numbers. In other words, a common factor is a number with... View Article

The common factor of 3ab and 2cd is (a) 1 (b) – 1 (c) a (d) c

Answer: (a) 1 Common factors are defined as factors that are common to two or more numbers. In other words, a common factor is a number with... View Article

On dividing p (4p² – 16) by 4p (p – 2), we get (a) 2p + 4 (b) 2p – 4 (c) p + 2 (d) p – 2

Answer: (c) p + 2 On dividing p(4p2 – 16) by 4p (p – 2) = [p((2p)2 – (4)2)]/ [4p(p – 2)] = [(2p – 4) × (2p +... View Article

On dividing 57p²qr by 114pq, we get (a) ¼pr (b) ¾pr (c) ½pr (d) 2pr

Answer: (c) ½pr 57p2qr can be expanded as 57p2qr = 57 × p × p × q × r 114pq = 114 × p × q On... View Article

Factorised form of p² – 17p – 38 is (a) (p – 19) (p + 2) (b) (p – 19) (p – 2) (c) (p + 19) (p + 2) (d) (p + 19) (p – 2)

Answer: (a) (p – 19) (p + 2) To factorize an algebraic expression, the highest common factors of the terms of the given algebraic... View Article

Factorised form of r²– 10r + 21 is (a) (r – 1) (r – 4) (b) (r – 7) (r – 3) (c) (r – 7) (r + 3) (d) (r + 7) (r + 3)

Answer: (b) (r – 7) (r – 3) To factorize an algebraic expression, the highest common factors of the terms of the given algebraic... View Article

Factorised form of 23xy – 46x + 54y – 108 is (a) (23x + 54) (y – 2) (b) (23x + 54y) (y – 2) (c) (23xy + 54y) (– 46x – 108) (d) (23x + 54) (y + 2)

Answer: (a) (23x + 54) (y – 2) To factorize an algebraic expression, the highest common factors of the terms of the given algebraic... View Article

Square of 9x – 7xy is (a) 81x² + 49x²y²(b) 81x² – 49x²y² (c) 81x² + 49x²y² –126x²y (d) 81x² + 49x²y² – 63x²y

Answer: (c) 81x2 + 49x2y2 –126x2y As per the condition in the question, (9x – 7xy)2 The standard identity is (a – b)2 = a2... View Article

Common factor of 17abc, 34ab², 51a²b is (a) 17abc (b) 17ab (c) 17ac (d) 17a2b2c

Answer: (b) 17ab Common factors are defined as factors that are common to two or more numbers. In other words, a common factor is a number with... View Article

a² – b² is equal to (a) (a – b)² (b) (a – b) (a – b) (c) (a + b) (a – b) (d) (a + b) (a + b)

Answer: (c) (a + b) (a – b) (a2 – b2) = (a + b) (a – b) It is one of the standard identity. Let us take a = 2 b = 3 LHS = (a2... View Article

Coefficient of y in the term –y/3 is (a) – 1 (b) – 3 (c) -1/3 (d) 1/3

Answer: (c) -1/3 - y/3 can also be written as y × (-1/3) So, the coefficient of y is -1/3 A coefficient is an integer that is written... View Article

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