Algebra MCQs for Competitive Examination
Solve the following problems.
Q. 61
Which of the following equations has the sum of its roots as 5?
(A) x2 – 5x + 6 = 0
(B) x2 – 5x – 6 = 0
(C) x2 + 5x + 6 = 0
(D) x2 + 5x – 6 = 0
Answer: (A) x2 – 5x + 6 = 0
Explanation: N/A
Q. 62
The value of x for which the expressions 12 – 6x and 4x + 2 become equal is
(A) 2
(B) 5
(C) 7
(D) 1
Answer: (D) 1
Explanation: N/A
Q. 63
If 4pxy = (x + 2y)2 – (x – 2y)2, then what will be the value of p?
(A) 0.5
(B) 0.25
(C) 4
(D) 2
Answer: (D) 2
Explanation: N/A
Q. 64
If a2 + 1/a2 = 38, the find the value of (a – 1/a)
(A) 2
(B) 4
(C) 6
(D) 8
Answer: (C) 6
Explanation: N/A
Q. 65
What is the value of (4a2 – 9b2)/(2a + 3b) is
(A) 2a – 3b
(B) 2a + 3b
(C) 2a
(D) 3b
Answer: (A) 2a – 3b
Explanation: N/A
Q. 66
Given: 6x + 2(6 – x) > 2x – 2 < 5x/2 – 3x/4; then x can take which of the following values?
(A) 9
(B) -8
(C) 5
(D) -9
Answer: (C) 5
Explanation: N/A
Q. 67
Expanded and simplification of (x + 3)(x – 1) will be equal to
(A) x2 + 2x – 3
(B) x2 + 3x + 2
(C) x2 – 2x + 3
(D) x2 + 3x – 2
Answer: (A) x2 + 2x – 3
Explanation: N/A
Q. 68
If (36 – 16x) – (4x – 8) = 4, then the value of x is
(A) 4
(B) 2
(C) 6
(D) 3
Answer: (B) 2
Explanation: N/A
Q. 69
If xy = 22 and x² + y² = 100, then what will be the value of (x + y)?
(A) 12
(B) 144
(C) 72
(D) 6
Answer: (A) 12
Explanation: N/A
Q. 70
Which of the following equations has equal roots?
(A) x² – 13x + 22 = 0
(B) x² – 7x + 10 = 0
(C) x² – 2x + 26 = 0
(D) 4x² + 8x + 4 = 0
Answer: (D) 4x² + 8x + 4 = 0
Explanation: N/A
Q. 71
Factors of 48x³ – 8x² – 93x – 45 are
(A) (4x + 3)(4x – 3)(3x – 5)
(B) (4x – 3)(4x – 3)(3x – 5)
(C) (4x + 3)(4x + 3)(3x – 5)
(D) (4x – 3)(4x + 3)(3x + 5)
Answer: (C) (4x + 3)(4x + 3)(3x – 5)
Explanation: N/A
Q. 72
If 12x = 192 – 112, what is the value of x?
(A) 20
(B) 17
(C) 13
(D) 11
Answer: (A) 20
Explanation: N/A
Q. 73
If (1/4 of x) – (4/5 of 6/7) equals – 9/7, then value of x is
(A) -12
(B) -2.4
(C) -3.6
(D) -14
Answer: (B) – 2.4
Explanation: N/A
Q. 74
If (4x - 5) = (3x - 1), then the numerical value of (x + 4)2 is
(A) 16
(B) 64
(C) 32
(D) 8
Answer: (B) 64
Explanation: N/A
Q. 75
What are the roots of the quadratic equation: x2 + 3x – 154 = 0
(A) 11, 14
(B) 11, - 14
(C) 14, - 11
(D) 14, 22
Answer: (B) 11, – 14
Explanation: N/A
Q. 76
Which of the following equations has real and distinct roots?
(A) 3x2 – 6x + 2 = 0
(C) 3x2 – 6x + 3 = 0
(C) x2 – 8x + 16 = 0
(D) 4x2 – 8x + 4 = 0
Answer: (A) 3x2 – 6x + 2 = 0
Explanation: N/A
Q. 77
Coefficient of x2 in (x + 9)(6 – 4x) is
(A) 54
(B) -4
(C) -30
(D) 4
Answer: (B) – 4
Explanation: N/A
Q. 78
If 7x + 6y = 5xy and 10x – 4y = 4xy, then value of x and y is
(A) (3, 2)
(B) (2, 3)
(C) (4, 2)
(D) (5, 6)
Answer: (C) (4, 2)
Explanation: N/A
Q. 79
The sum of 2xy(3x + 4y – 5z) and 5yz(2x – 3y) is
(A) 6x2y – 8xy2 + 15y2z
(B) 6x2y + 8xy2 – 15y2z
(C) 6x2y + 8xy2 – 15y2z – 20xyz
(D) 6x2y – 8xy2 + 15y2z + 20xyz
Answer: (B) 6x2y + 8xy2 – 15y2z
Explanation: N/A
Q. 80
The solution set of 4x – 3y = 47 and 3x + y = 32 is
(A) (15, 3)
(B) (4, 12)
(C) (11, -1)
(D) (12, 3)
Answer: (C) ( 11, -1)
Explanation: N/.A