Algebra CUET General Test MCQs

Question: The degree of polynomial 3362^x + 210x + 42 is
a) 3
b) 4
c) 42
d) 2

Answer: d

Question: If √3 − 1/√3 + 1 = a + b√3; then a² + b² = ?
a) √8
b) 7
c) 5
d) 6

Answer: c

Question: In a test, (+5) marks are given for every correct answer and (−2) marks are given for every incorrect answer, Rakesh answered all the questions and scored 30 marks though he got 10 correct answers. How many incorrect answers had he attempted?
a) 10
b) 12
c) −10
d) −12

Answer: a

Question: If 2x² + ax + b, when divided by x − 3, leaves a remainder of 31 and x² + bx + a , when divided by x − 3, leaves a remainder of 24, then a + b equals
a) −23
b) −7
c) 7
d) 23

Answer: c

Question: If a + b + c = 2s, then [(s − a)² + (s − b)² + (s − c)² + s²] = ?
a) (a² + b² + c²)
b) (4s²- a² - b² - c²)
c) (s²- a² - b² - c²)
d) (s² + a² + b² + c²)

Answer: a

Question: The sum of a number and its reciprocal is −12. What would be the sum of cubes of the two (the number and its reciprocal)?
a) −1764
b) −1728
c) −1681
d) −1692

Answer: d

Question: Solve for x;x ∈N: (x − 4)² − 36 = 0. 
a) −2
b) −10
c) 10
d) 2

Answer: c

Question: The sum of the two numbers is 11 and their product is 30, then the numbers are
a) 8, 3
b) 9, 2
c) 7, 4
d) 6, 5

Answer: d

Question: Find the values of k for which x² + 5kx + k²+ 5 is exactly divisible by x + 2 but not divisible by x + 3.
a) Both 1 and 9
b) 1
c) Neither 1 nor 9
d) 9

Answer: d

Question: The value of y in the solution of the equation 2^{x + y} = 2^{x − y} = √8 is
a) 0
b) 1/4
c) 1/2
d) 3/7

Answer: a

Question: If x and y are positive with x − y = 2 and xy = 24, then 1/x + 1/y + is equal to
a) 5/12
b) 1/12
c) 1/6
d) 25/6

Answer: a

Question: If √3 x − 2 = 2√3 + 4, then the value of x is
a) 2 (1 − √3)
b) 2 (1 + √3)
c) 1 + √3
d) 1 − √3

Answer: b

Question: The solution of the system of linear equations 0.4x + 0.3 y = 1.7 and 0.7x − 0.2y = 0.8 is
a) x = 3, y = 2
b) x = 2, y = − 3
c) x = 2, y = 3
d) None of these

Answer: c

Question: If 3x + 6/8 - 11x - 8/24 + 3x/4 - x + 7/24 , then the value of x is
a) − 3
b) 3/2
c) 3
d) 1/3

Answer: c

Question: If y = − 1, then the value of 1 + (1 / y) + ( 1 / y²) + (1 / y³) + (1 / y⁴) + (1 / y⁵) is
a) −1
b) 0
c) 1
d) 2

Answer: b

Question: If one number is thrice the other and their sum is 20, then the numbers are
a) 5, 15
b) 4, 12
c) 3, 9
d) None of these

Answer: a

Question: If ax + by = 3, bx − ay = 4 and x² + y² = 1, then the value of a² + b² is
a) 25
b) 26
c) 27
d) 28

Answer: a

Question: If x + y = 7 and 3x − 2y = 11, then
a) x = 2, y = 5
b) x = 5, y = 5
c) x = 5, y = 2
d) x = 0, y = 3

Answer: c

Question: If 5 is added to twice of a number it becomes 6, then the number is
a) 0.5
b) 5
c) 0.25
d) None of these

Answer: a

Question: If (x + 1/x) : (x - 1/x) : 5:4, then the value of x is
a) 0
b) ± 1
c) ± 2
d) ± 3

Answer: d