Algebra MCQs for Competitive Examination Solve the following problems. Q. 1If (8 – 10x) – (13x – 2) = -9, then the value of x is (A) -19/23(B) 19/23(C) -1/23(D) 1/23 Show Answer/Hide Answer Answer: (B) 19/23 Explanation: N/A Q. 2If xy = -18 and x^{2} + y^{2} = 85, then ﬁnd the value of (x + y). (A) 8(B) 10(C) 9(D) 7 Show Answer/Hide Answer Answer: (D) 7Explanation: N/A Q. 3A number is greater than twice it’s reciprocal by 31/4. Find the number. (A) 7(B) 8(C) 9(D) 6 Show Answer/Hide Answer Answer: (B) 8Explanation: N/A Q. 4Coefficient of x in (x + 8) (6 – 3x) is (A) 18(B) 30(C) -18(D) -30 Show Answer/Hide Answer Answer: (C) -18Explanation: N/A Q. 5If x + y = 10 and x^{2}+ y^{2}= 68, then find xy (A) 21(B) 24(C) 25(D) 16 Show Answer/Hide Answer Answer: (D) 16Explanation: N/A Q. 6To cover a distance of 315 km in 2.8 hours what should be the average speed of the car in meters/second? (A) 112.5 m/s(B) 56.25 m/s(C) 62.5 m/s(D) 31.25 m/s Show Answer/Hide Answer Answer: (D) 31.25 m/sExplanation: N/A Q. 7The sum of the digits of a 2-digit number is 17. If we add 9 to the number, the new number obtained is a number formed by the interchange of the digits. Find the number. (A) 89(B) 98(C) 78(D) 87 Show Answer/Hide Answer Answer: (A) 89Explanation: N/A Q. 8Which of the following quadratic equations has real roots? (A) 4x^{2} – 7x + 5 = 0(B) 5x^{2} – 11x + 7 = 0(C) 5x^{2} – 11x + 8 = 0(D) 2x^{2} – 7x + 5 = 0 Show Answer/Hide Answer Answer: (D) 2x^{2} – 7x + 5 = 0Explanation: N/A Q. 9The value of x for which the expressions 7x + 13 and 13x – 7 become equal is (A) -10/3(B) 3/10(C) -3/10(D) 10/3 Show Answer/Hide Answer Answer: (D) 10/3Explanation: N/A Q. 10If the sum of the roots of a quadratic equation is 7 and the product of the roots is 12. Find the quadratic equation. (A) x^{2} + 7x + 12 = 0(B) x^{2} 7x + 12 = 0(C) x^{2} 7x 12 = 0(D) x^{2} + 7x 12 = 0 Show Answer/Hide Answer Answer: (A) x^{2} + 7x + 12 = 0Explanation: N/A Q. 11If (2x+2/x)=3, then the value of (x³+1/x³+2) is (A) 3/4(B) 4/5(C) 5/8(D) 7/8 Show Answer/Hide Answer Answer: (D) 7/8Explanation: N/A Q. 12a/(a-b)+b/(b-a) (A) (a+b)/(a-b)(B) -1(C) 2ab(D) 1 Show Answer/Hide Answer Answer: (D) 1Explanation: N/A Q. 13If 4x=√5 +2, then find the value of {x-(1/16x)} (A) 1(B) -1(C) 4(D) 2√5 Show Answer/Hide Answer Answer: (A) 1Explanation: N/A Q. 14The Sum of two numbers is thrice their difference. Their ratio is (A) 1:2(B) 2:1(C) 3:1(D) 1:3 Show Answer/Hide Answer Answer: (B) 2:1Explanation: N/A Q. 15If a/b + b/a = 1, then the value of a^{3} + b^{3} will be (A) 1(B) 0(C) -1(D) 2 Show Answer/Hide Answer Answer: (B) 0Explanation: N/A Q. 16If p = 99, then the value of p(p^{2} +3p+3) will be (A) 999999(B) 1000000(C) 1000001(D) 999998 Show Answer/Hide Answer Answer: (A) 999999Explanation: N/A Q. 17If a-b=1 and a^{3}-b^{3 }= 61, then the value of ab will be (A) -20(B) 20(C) 30(D) 60 Show Answer/Hide Answer Answer: (A) 20Explanation: N/A Q. 18If a+b=2c, then the value of a/(a-b)+c/(b-c) is equal to [where a≠b≠c] (A) -1(B) 1(C) 0(D) 1/2 Show Answer/Hide Answer Answer: (B) 1Explanation: N/A Q. 19 If x+1/x=5, then the value of x/(1+x+x²) is (A) 1/6(B) 1/5(C) 5(D) 6 Show Answer/Hide Answer Answer: (A) 1/6Explanation: N/A Q. 20If a²/(b+c)=b²/(c+a)=c²/(a+b)=1, then find the value of {2/(1+a)+2/(1+b0+2/(1+c)} (A) 0(B) 1(C) 2(D) 3 Show Answer/Hide Answer Answer: (C) 2Explanation: 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)