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TCS Digital and Prime Advanced Coding Practice Questions

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1Advanced dynamic programming, sliding window maximums.
  • 2Tree traversals with vertical/boundary paths.
  • 3Bit manipulations and math algorithms.

TCS NQT Style Practice Questions

Practice Question 1

What is outcome of: x & (x-1) for a positive integer x?

A) Clears the lowest set bit of x
B) Doubles x
C) Checks if x is odd
D) Inverts all bits

Correct Answer: A) Clears the lowest set bit of x

Step-by-step Solution: Subtracting 1 flips all bits after the lowest set bit. Bitwise ANDing this with x sets the lowest set bit of x to 0.

Practice Question 2

What is time complexity of finding prime numbers up to N using Sieve of Eratosthenes?

A) O(N log log N)
B) O(N^2)
C) O(N)
D) O(N log N)

Correct Answer: A) O(N log log N)

Step-by-step Solution: Sieve of Eratosthenes is highly optimized, running in O(N log log N) time complexity.

Study Pro-Tip

Advanced coding tracks on TCS Prime require clean implementation under tight time bounds. Practice Sieve and Kadane's templates.

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