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Mathematics MCQs

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Mathematics MCQs With Answers

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Mathematics Algebra
Solve the system: 4x + 4y = 60; 3x + 1y = 31.
A. (8, 8)
B. (9, 7)
C. (8, 7)
D. (7, 8)
Correct Answer: C
Solving simultaneously gives x=8, y=7.
Mathematics Algebra
Solve the system: 3x + 3y = 36; 2x + 5y = 39.
A. (8, 5)
B. (5, 7)
C. (7, 6)
D. (7, 5)
Correct Answer: D
Solving simultaneously gives x=7, y=5.
Mathematics Algebra
Solve the system: 2x + 2y = 18; 5x + 4y = 42.
A. (7, 3)
B. (6, 3)
C. (3, 6)
D. (6, 4)
Correct Answer: B
Solving simultaneously gives x=6, y=3.
Mathematics Algebra
Solve the system: 1x + 1y = 15; 4x + 3y = 50.
A. (5, 10)
B. (5, 11)
C. (6, 10)
D. (10, 5)
Correct Answer: A
Solving simultaneously gives x=5, y=10.
Mathematics Algebra
Solve the system: 4x + 5y = 56; 3x + 2y = 28.
A. (8, 4)
B. (4, 9)
C. (5, 8)
D. (4, 8)
Correct Answer: D
Solving simultaneously gives x=4, y=8.
Mathematics Algebra
Solve the system: 3x + 4y = 33; 2x + 1y = 12.
A. (4, 6)
B. (3, 7)
C. (6, 3)
D. (3, 6)
Correct Answer: D
Solving simultaneously gives x=3, y=6.
Mathematics Algebra
Solve the system: 2x + 3y = 16; 5x + 5y = 30.
A. (2, 4)
B. (2, 5)
C. (4, 2)
D. (3, 4)
Correct Answer: A
Solving simultaneously gives x=2, y=4.
Mathematics Algebra
Solve the system: 1x + 2y = 5; 4x + 4y = 12.
A. (1, 2)
B. (1, 3)
C. (2, 1)
D. (2, 2)
Correct Answer: A
Solving simultaneously gives x=1, y=2.
Mathematics Algebra
Solve: log₃(x) = 6.
A. 732
B. 730
C. 728
D. 729
Correct Answer: D
x=3⁶=729.
Mathematics Algebra
Solve: log₂(x) = 5.
A. 34
B. 32
C. 31
D. 33
Correct Answer: B
x=2⁵=32.
Mathematics Algebra
Solve: log₄(x) = 4.
A. 256
B. 255
C. 260
D. 257
Correct Answer: A
x=4⁴=256.
Mathematics Algebra
Solve: log₃(x) = 3.
A. 28
B. 27
C. 26
D. 30
Correct Answer: B
x=3³=27.
Mathematics Algebra
Solve: log₂(x) = 2.
A. 5
B. 6
C. 3
D. 4
Correct Answer: D
x=2²=4.
Mathematics Algebra
What is logb(b) for b>0, b≠1?
A. b
B. −1
C. 0
D. 1
Correct Answer: D
b¹=b.
Mathematics Algebra
What is logb(1) for b>0, b≠1?
A. 0
B. Undefined
C. 1
D. b
Correct Answer: A
b⁰=1.
Mathematics Algebra
Which is equal to logb(Mᵏ)?
A. (logb M)ᵏ
B. logb(kM)
C. k logb M
D. logb M + k
Correct Answer: C
Power law.
Mathematics Algebra
Which logarithm law is correct for a quotient?
A. logb(M⁄N)=logb M-logb N
B. logb(M⁄N)=logb M+logb N
C. logb(M⁄N)=logb M⁄logb N
D. logb(M⁄N)=M-N
Correct Answer: A
Quotient law.
Mathematics Algebra
Which logarithm law is correct?
A. logb(M+N)=logb M+logb N
B. logb(M⁄N)=logb M+logb N
C. logb(MN)=logb M·logb N
D. logb(MN)=logb M+logb N
Correct Answer: D
Product law.
Mathematics Algebra
Evaluate log₁₀(100000).
A. 6
B. 100000
C. 10
D. 5
Correct Answer: D
10⁵=100000.
Mathematics Algebra
Evaluate log₁₀(10000).
A. 4
B. 10
C. 5
D. 10000
Correct Answer: A
10⁴=10000.
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