Algebra MCQs for Competitive Examination
Solve the following problems.
Q. 1
If (8 – 10x) – (13x – 2) = -9, then the value of x is
(A) -19/23
(B) 19/23
(C) -1/23
(D) 1/23
Answer: (B) 19/23
Explanation: N/A
Q. 2
If xy = -18 and x2 + y2 = 85, then find the value of (x + y).
(A) 8
(B) 10
(C) 9
(D) 7
Answer: (D) 7
Explanation: N/A
Q. 3
A number is greater than twice it’s reciprocal by 31/4. Find the number.
(A) 7
(B) 8
(C) 9
(D) 6
Answer: (B) 8
Explanation: N/A
Q. 4
Coefficient of x in (x + 8) (6 – 3x) is
(A) 18
(B) 30
(C) -18
(D) -30
Answer: (C) -18
Explanation: N/A
Q. 5
If x + y = 10 and x2+ y2= 68, then find xy
(A) 21
(B) 24
(C) 25
(D) 16
Answer: (D) 16
Explanation: N/A
Q. 6
To 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
Answer: (D) 31.25 m/s
Explanation: N/A
Q. 7
The 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
Answer: (A) 89
Explanation: N/A
Q. 8
Which of the following quadratic equations has real roots?
(A) 4x2 – 7x + 5 = 0
(B) 5x2 – 11x + 7 = 0
(C) 5x2 – 11x + 8 = 0
(D) 2x2 – 7x + 5 = 0
Answer: (D) 2x2 – 7x + 5 = 0
Explanation: N/A
Q. 9
The 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
Answer: (D) 10/3
Explanation: N/A
Q. 10
If the sum of the roots of a quadratic equation is 7 and the product of the roots is 12. Find the quadratic equation.
(A) x2 + 7x + 12 = 0
(B) x2 7x + 12 = 0
(C) x2 7x 12 = 0
(D) x2 + 7x 12 = 0
Answer: (A) x2 + 7x + 12 = 0
Explanation: N/A
Q. 11
If (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
Answer: (D) 7/8
Explanation: N/A
Q. 12
a/(a-b)+b/(b-a)
(A) (a+b)/(a-b)
(B) -1
(C) 2ab
(D) 1
Answer: (D) 1
Explanation: N/A
Q. 13
If 4x=√5 +2, then find the value of {x-(1/16x)}
(A) 1
(B) -1
(C) 4
(D) 2√5
Answer: (A) 1
Explanation: N/A
Q. 14
The Sum of two numbers is thrice their difference. Their ratio is
(A) 1:2
(B) 2:1
(C) 3:1
(D) 1:3
Answer: (B) 2:1
Explanation: N/A
Q. 15
If a/b + b/a = 1, then the value of a3 + b3 will be
(A) 1
(B) 0
(C) -1
(D) 2
Answer: (B) 0
Explanation: N/A
Q. 16
If p = 99, then the value of p(p2 +3p+3) will be
(A) 999999
(B) 1000000
(C) 1000001
(D) 999998
Answer: (A) 999999
Explanation: N/A
Q. 17
If a-b=1 and a3-b3 = 61, then the value of ab will be
(A) -20
(B) 20
(C) 30
(D) 60
Answer: (A) 20
Explanation: N/A
Q. 18
If 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
Answer: (B) 1
Explanation: 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
Answer: (A) 1/6
Explanation: N/A
Q. 20
If 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
Answer: (C) 2
Explanation: N/A