
Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.
Find the number of integral solutions for x^2 - 3x - 4 < 0.
Correct Answer: A) 4
Step-by-step Solution: (x - 4)(x + 1) < 0. The roots are -1 and 4. The inequality holds for -1 < x < 4. The integers in this range are 0, 1, 2, 3 (4 integers).
What is the slope of a line perpendicular to 3x - 4y = 8?
Correct Answer: A) -4/3
Step-by-step Solution: Slope of given line m1 = -A/B = -3/(-4) = 3/4. Perpendicular slope m2 = -1 / m1 = -4/3.
TCS Digital and Prime require solid algebraic skills. Practice quadratic inequalities.