JEE Advanced Maths: Basic Mathematics (Modulus) questions with solutions

Q1. Solve for x: |(3x + 4)/3| = 7.

1. x = 17/3 or x = -25/3
2. x = 7/3 or x = -7/3
3. x = 17/3 only
4. x = 25/3 or x = -17/3

Answer: x = 17/3 or x = -25/3

The modulus equation gives two linear equations; solve each for x.

Q2. Solve the equation |x² - 3x + 2| = 2 for x.

1. x = 0, 3
2. x = 1, 2
3. x = 0, 3, (3 + sqrt(17))/2, (3 - sqrt(17))/2
4. x = 2, 3

Answer: x = 0, 3

Remove the modulus by considering both signs of the inside expression, solve each quadratic, and keep only the real roots.