Algebra MCQs for Competitive Examination Solve the following problems. Q. 61Which of the following equations has the sum of its roots as 5? (A) x^{2} – 5x + 6 = 0(B) x^{2} – 5x – 6 = 0(C) x^{2} + 5x + 6 = 0(D) x^{2} + 5x – 6 = 0 Show Answer/Hide Answer Answer: (A) x^{2} – 5x + 6 = 0Explanation: N/A Q. 62The value of x for which the expressions 12 – 6x and 4x + 2 become equal is (A) 2(B) 5(C) 7(D) 1 Show Answer/Hide Answer Answer: (D) 1Explanation: N/A Q. 63If 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 Show Answer/Hide Answer Answer: (D) 2Explanation: N/A Q. 64 If a^{2} + 1/a^{2} = 38, the find the value of (a – 1/a) (A) 2(B) 4(C) 6(D) 8 Show Answer/Hide Answer Answer: (C) 6Explanation: N/A Q. 65What is the value of (4a^{2} – 9b^{2})/(2a + 3b) is (A) 2a – 3b(B) 2a + 3b(C) 2a(D) 3b Show Answer/Hide Answer Answer: (A) 2a – 3bExplanation: N/A Q. 66Given: 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 Show Answer/Hide Answer Answer: (C) 5Explanation: N/A Q. 67Expanded and simpliﬁcation of (x + 3)(x – 1) will be equal to (A) x^{2} + 2x – 3(B) x^{2} + 3x + 2(C) x^{2} – 2x + 3(D) x^{2} + 3x – 2 Show Answer/Hide Answer Answer: (A) x^{2} + 2x – 3Explanation: N/A Q. 68If (36 – 16x) – (4x – 8) = 4, then the value of x is (A) 4(B) 2(C) 6(D) 3 Show Answer/Hide Answer Answer: (B) 2Explanation: N/A Q. 69If xy = 22 and x² + y² = 100, then what will be the value of (x + y)? (A) 12(B) 144(C) 72(D) 6 Show Answer/Hide Answer Answer: (A) 12Explanation: N/A Q. 70Which 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 Show Answer/Hide Answer Answer: (D) 4x² + 8x + 4 = 0Explanation: N/A Q. 71Factors 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) Show Answer/Hide Answer Answer: (C) (4x + 3)(4x + 3)(3x – 5)Explanation: N/A Q. 72If 12x = 19^{2} – 11^{2}, what is the value of x? (A) 20(B) 17(C) 13(D) 11 Show Answer/Hide Answer Answer: (A) 20Explanation: 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 Show Answer/Hide Answer Answer: (B) – 2.4Explanation: N/A Q. 74If (4x - 5) = (3x - 1), then the numerical value of (x + 4)^{2} is (A) 16(B) 64(C) 32(D) 8 Show Answer/Hide Answer Answer: (B) 64Explanation: N/A Q. 75What are the roots of the quadratic equation: x^{2} + 3x – 154 = 0 (A) 11, 14(B) 11, - 14(C) 14, - 11(D) 14, 22 Show Answer/Hide Answer Answer: (B) 11, – 14 Explanation: N/A Q. 76Which of the following equations has real and distinct roots? (A) 3x^{2} – 6x + 2 = 0(C) 3x^{2} – 6x + 3 = 0(C) x^{2} – 8x + 16 = 0(D) 4x^{2} – 8x + 4 = 0 Show Answer/Hide Answer Answer: (A) 3x^{2} – 6x + 2 = 0Explanation: N/A Q. 77Coefficient of x^{2} in (x + 9)(6 – 4x) is (A) 54(B) -4(C) -30(D) 4 Show Answer/Hide Answer Answer: (B) – 4Explanation: N/A Q. 78If 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) Show Answer/Hide Answer Answer: (C) (4, 2)Explanation: N/A Q. 79 The sum of 2xy(3x + 4y – 5z) and 5yz(2x – 3y) is (A) 6x^{2}y – 8xy^{2} + 15y^{2}z(B) 6x^{2}y + 8xy^{2 } – 15y^{2}z(C) 6x^{2}y + 8xy^{2} – 15y^{2}z – 20xyz(D) 6x^{2}y – 8xy^{2} + 15y^{2}z + 20xyz Show Answer/Hide Answer Answer: (B) 6x^{2}y + 8xy^{2 } – 15y^{2}zExplanation: N/A Q. 80The solution set of 4x – 3y = 47 and 3x + y = 32 is (A) (15, 3)(B) (4, 12)(C) (11, -1)(D) (12, 3) Show Answer/Hide Answer Answer: (C) ( 11, -1)Explanation: N/.A « 1 2 3 4 5 » Share on facebook Share on twitter Share on linkedin Share on pinterest Share on reddit Share on whatsapp Share on email Share on telegram Algebra MCQs (page 1) Algebra MCQs (page 2) Algebra MCQs (page 3) Algebra MCQs (page 4) Algebra MCQs (page 5)