Basic Mathematics MCQs Subcategories

Series MCQs	Basic Mathematics
Algebra	Basic Mathematics MCQs
Calculation	Angles

The product of two consecutive integers is 90. Find the integers:

A. -9, 10
B. -9, -10
C. 11, 12
D. -12, 11

Explanation: The product of -9 and -10 is 90 (negative times negative equals positive).

What is the value of x in the equation 2x + 3 = 7?

a. 1
b. 2
c. 3
d. 4

Explanation: Solve 2x + 3 = 7: Subtract 3 from both sides and then divide by 2.

Solve: (√2 - 1 / √2)²

a. 1
b. 1/4
c. 1/2
d. None of these

Solve: ³√64 + 3

a. 2
b. 3
c. 4
d. 5

For what value of \( x + \frac{1}{4} \sqrt{x + a^2} \) will be a perfect square?

A. ± 1 / 18
B. ± 1 / 8
C. 1/5
D. 1/4

Explanation: For \( x + \frac{1}{4} \sqrt{x + a^2} \) to be a perfect square, x should be \( \frac{1}{4} \).

If \( a + b + c = 0 \) then value of \( ( a + b / c + b + c / a + c + a / b ) ( a / b + c + b / c + a + c / a + b ) \) is:

a. 8
b. -3
c. 9
d. 0

Explanation: When simplified, the expression equals zero given \( a + b + c = 0 \).

For the system of equations \( ax + 2y = 5 \) and \( 3x - 6y = 20 \), if the system has one solution, which of the following CANNOT be the value of \( a \)?

a. -1
b. 1
c. 2
d. -3

Explanation: If \( a = -3 \), the equations become inconsistent, so this value cannot provide a unique solution.