Algebra MCQs for Competitive Examination
Solve the following problems.
Q. 41
What is the sum of a3 + b3 + c3 – 3 abc, when the value of a = 4, b = 2 and c = -6?
(A) 0
(B) 2
(C) 4
(D) 6
Answer: (A) 0
Explanation: N/A
Q. 42
What is the value of the expression a3 – 5 + (128/16a), When a = 2?
(A) 2
(B) 5
(C) 7
(D) 8
Answer: (C) 7
Explanation: N/A
Q. 43
What is the value of (2 – 2x + x²) (2 + 2x – x2), when x + 2/x = 2?
(A) 0
(B) 2
(C) 4
(D) 8
Answer: (A) 0
Explanation: N/A
Q. 44
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. 45
Determine the value of (a2 + b2)/(a3 + b³) when a = 2 + √3 and b = 2 – √3
(A) 0.27
(B) 0.42
(C) 0.58
(D) 0.93
Answer: (A) 0.27
Explanation: N/A
Q. 46
What will be the value of a3 + b3, if a2 + b2 = 32 and a + b = 8?
(A) 8
(B) 32
(C) 128
(D) 256
Answer: (C) 128
Explanation: N/A
Q. 47
if x + 4/x = 4, then find the value of x6 + 1
(A) 51
(B) 65
(C) 78
(D) 82
Answer: (B) 65
Explanation: N/A
Q. 48
Find the value of 27a3 + 1/a3, if 9a2 + 1/a2 = 43
(A) 7240
(B) 280
(C) 320
(D) 360
Answer: (B) 280
Explanation: N/A
Q. 49
If y = √3 – √2, then find the value of (1/y3 – y3)
(A) 11
(B) 11√2
(C) 22
(D) 22√2
Answer: (D) 22√2
Explanation: N/A
Q. 50
What is the value of ‘x’ in 2√(3x) – 5√(27x) + √(108x) = – 21?
(A) 0.33
(B) 1
(C) 3
(D) 9
Answer: (C) 3
Explanation: N/A
Q. 51
For what value of ‘y’, x2 + (1/12) x + y2 is a perfect square?
(A) 1/24
(B) 1/12
(C) 1/6
(D) 1/3
Answer: (A) 1/24
Explanation: N/A
²Q. 52
If x = 4 + √15, then what is the value of [x² + (1/x)²]?
(A) 62
(B) 64
(C) 34
(D) 36
Answer: (A) 62
Explanation: N/A
Q. 53
Determine the value of x2 + y2 when x3 – y3 = 54, x – y = 18 and xy = 2
(A) 0
(B) 1
(C) 2
(D) 3
Answer: (B) 1
Explanation: N/A
Q. 54
Calculate the value of x, if √{1-(x/529)} = (16/23)
(A) 283
(B) 276
(C) 273
(D) 374
Answer: (C) 273
Explanation: N/A
Q. 55
How 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
Answer: (A) 0
Explanation: N/A
Q. 56
Determine the value of m for which 4x + √x/6 + m2/4 is a perfect square.
(A) 1/24
(B) 1/12
(C) 12
(D) 24
Answer: (B) 1/12
Explanation: N/A
Q. 57
If (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
Answer: (B) 3
Explanation: N/A
Q. 58
If 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
Answer: (B) 24
Explanation: 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
Answer: (C) 1
Explanation: N/A
Q. 60
If 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
Answer: (B) 0
Explanation: N/A