Mathematics ยท Quantitative Aptitude

Algebra and Arithmetic

333 Questions

Algebra and arithmetic questions cover fundamental mathematical operations, inequalities, and binomial products. They assess core quantitative reasoning skills required for various aptitude tests. Solving these problems strengthens the understanding of number systems and algebraic identities.

Binomial productsLinear inequalitiesLeast common multipleQuadratic equationsInteger properties

Algebra and Arithmetic Questions

Multiple choice

Which inequality represents the statement "Three times a number (x) is no more than 12"?

  1. \(3x \leq 12\)
  2. \(3x \geq 12\)
  3. \(x \leq 4\)
  4. \(x \geq 4\)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The phrase "no more than" means "less than or equal to".

Multiple choice

What is the Pythagorean theorem?

  1. $a^2 + b^2 = c^2$
  2. $a^2 - b^2 = c^2$
  3. $a^2 + b^2 = 2c^2$
  4. $a^2 - b^2 = 2c^2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Multiple choice

Which of the following is a valid formula in TLP?

  1. G(a) -> X(a)

  2. X(a) -> G(a)

  3. F(a) -> G(a)

  4. G(a) -> F(a)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In TLP, G(a) -> X(a) is a valid formula because if an action is permitted at all times, then it is permitted in the next moment.