Algebra MCQs for Competitive Examination Solve the following problems. Q. 41What is the sum of a^{3} + b^{3} + c^{3} – 3 abc, when the value of a = 4, b = 2 and c = -6? (A) 0(B) 2(C) 4(D) 6 Show Answer/Hide Answer Answer: (A) 0Explanation: N/A Q. 42What is the value of the expression a^{3} – 5 + (128/16a), When a = 2? (A) 2(B) 5(C) 7(D) 8 Show Answer/Hide Answer Answer: (C) 7Explanation: N/A Q. 43What is the value of (2 – 2x + x²) (2 + 2x – x^{2}), when x + 2/x = 2? (A) 0(B) 2(C) 4(D) 8 Show Answer/Hide Answer Answer: (A) 0Explanation: N/A Q. 44 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. 45Determine the value of (a^{2} + b^{2})/(a^{3} + b³) when a = 2 + √3 and b = 2 – √3 (A) 0.27(B) 0.42(C) 0.58(D) 0.93 Show Answer/Hide Answer Answer: (A) 0.27Explanation: N/A Q. 46What will be the value of a^{3} + b^{3}, if a^{2} + b^{2} = 32 and a + b = 8? (A) 8(B) 32(C) 128(D) 256 Show Answer/Hide Answer Answer: (C) 128Explanation: N/A Q. 47 if x + 4/x = 4, then find the value of x^{6} + 1 (A) 51(B) 65(C) 78(D) 82 Show Answer/Hide Answer Answer: (B) 65Explanation: N/A Q. 48Find the value of 27a^{3} + 1/a^{3}, if 9a^{2} + 1/a^{2} = 43 (A) 7240(B) 280(C) 320(D) 360 Show Answer/Hide Answer Answer: (B) 280Explanation: N/A Q. 49If y = √3 – √2, then find the value of (1/y^{3} – y^{3}) (A) 11(B) 11√2(C) 22(D) 22√2 Show Answer/Hide Answer Answer: (D) 22√2 Explanation: N/A Q. 50What is the value of ‘x’ in 2√(3x) – 5√(27x) + √(108x) = – 21? (A) 0.33(B) 1(C) 3(D) 9 Show Answer/Hide Answer Answer: (C) 3Explanation: N/A Q. 51For what value of ‘y’, x^{2} + (1/12) x + y^{2} is a perfect square? (A) 1/24(B) 1/12(C) 1/6(D) 1/3 Show Answer/Hide Answer Answer: (A) 1/24Explanation: N/A ²Q. 52If x = 4 + √15, then what is the value of [x² + (1/x)²]? (A) 62(B) 64(C) 34(D) 36 Show Answer/Hide Answer Answer: (A) 62Explanation: N/A Q. 53 Determine the value of x^{2} + y^{2} when x^{3} – y^{3} = 54, x – y = 18 and xy = 2 (A) 0(B) 1(C) 2(D) 3 Show Answer/Hide Answer Answer: (B) 1Explanation: N/A Q. 54 Calculate the value of x, if √{1-(x/529)} = (16/23) (A) 283(B) 276(C) 273(D) 374 Show Answer/Hide Answer Answer: (C) 273Explanation: N/A Q. 55How many solutions does a pair of linear equations will have, if the equations are 4x+5y-6=0 and 16x+20y+20=0? (A) 0(B) 1(C) 2(D) Infinite Show Answer/Hide Answer Answer: (A) 0Explanation: N/A Q. 56Determine the value of m for which 4x + √x/6 + m^{2}/4 is a perfect square. (A) 1/24(B) 1/12(C) 12(D) 24 Show Answer/Hide Answer Answer: (B) 1/12Explanation: N/A Q. 57If (x – 7)^{2} + (y + 10)^{2} + (z – 6)^{2} = 0, then find the value of x + y + z. (A) 1(B) 3(C) 5(D) 7 Show Answer/Hide Answer Answer: (B) 3Explanation: N/A Q. 58If n + n/2 + n/4 + n/8 = 45, then find the value of ‘n’ which will satisfy the equation. (A) 16(B) 24(C) 36(D) 48 Show Answer/Hide Answer Answer: (B) 24Explanation: N/A Q. 59 If x/y = 4/5, then the value of {4/7 + (2y – x)/(2y + x)} is (A) 3/7(B) 1(1/7)(C) 1(D) 2 Show Answer/Hide Answer Answer: (C) 1Explanation: N/A Q. 60If 2x – 1 < 5x + 2 and 2x + 5 < 6 – 3x, then x can take which of the following values? (A) 1(B) 0(C) 2(D) -2 Show Answer/Hide Answer Answer: (B) 0Explanation: 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)