Free MCQs & Online Quiz Practice for Exams

Q: Evaluate log₇ 1/√7 = ?

A) -1

B) -1/2

C) 1/2

D) 2

Q: Base of normal log is

A) 10

B) e

C) π

D) 1

Q: logm + logn =

A) logmlogn

B) logm-logn

C) logmn

D) log m/n

Q: 0.069 can be written in scientific notation as :

A) 6.9x10³

B) 6.9x10⁻²

C) 0.69x10³

D) 69x10²

Q: ln x- 2ln y

A) ln(x/y)

B) lnxy²

C) ln(x²/y)

D) ln(x/y²)

Q: mr² + 3mr² - 5mr² =

A) -mr²

B) -mr

C) mr

D) mr²

Q: (x³y²)(x²y³)=

A) x⁵y⁵

B) x⁵y⁴

C) x⁴y⁵

D) x⁴y⁴

Q: (4xy⁴)³=

A) 64x³y⁸

B) 64x⁸y³

C) 64x³y¹²

D) 64x³y⁷

Q: (7x + 4y) - (3x - 6y)

A) 3x

B) 2x + 10y

C) 4x + y

D) 4x + 10y

Q: (a+b)²-(a-b)²=

A) 4ab

B) 2(a²+b²)

C) a² - 4ab + 2b²

D) a⁴-b⁴

Q: (a+b+c)²

A) a²+b²+c²

B) a²+b²+c²+2(a+b+c)

C) a²+b²+c²+2(ab+bc+ca)

D) a+b+c+2(ab+bc+ca)

Q: a³ + b³

A) (a+b)³-2ab(a+b)

B) (a+b)(a²+ab+b²)

C) (a-b)(a²-ab+b²)

D) (a+b)(a²-ab+b²)

Q: Conjugate of 3-√5

A) -3-√5

B) -3+√5

C) 3+√5

D) √3+√5

Q: Which of the following expressions is equivalent to (m²+4)¹⁄ ²

A) (m²+4)/2

B) -√m²+4

C) 1/m²+4

D) 1/m+2

Q: For which of the following expressions is a+b NOT a factor?

A) a²-b²

B) a²+b²

C) a³+b³

D) a⁴-b⁴

Q: Factors of x²+2x-24 are

A) x+4, x-6

B) x-4, x+6

C) x+3, x-8

D) x+8, x-3

Q: Factorization of x²+2xy+y²-z² is

A) (x-y+z)(x-y-z)

B) (x+y-z)(x-y-z)

C) (x+y+z)(x+y-z)

D) (x+y+z)(x-y-z)

Q: Factorization of a³+b³ is

A) (a-b)(a²+ab+b²)

B) (a+b)(a²+ab+b²)

C) (a+b)(a²+ab-b²)

D) (a+b)(a²-ab+b²)

Q: Factors of 8y³-z³ are

A) 2y-z, 4y²+2yz+z²

B) 2y-z, 2y-z, 2y+z

C) 2y-z , 4y²-2yz+z²

D) 2y-z , 4y²-2yz+z²

Q: In simplified form 1/(a+b) + b/(a²-b²) equals?

A) b+1/(a²-b²)

B) a/(a²-b²)

C) b/(a²-b²)

D) b+a/(a²-b²)