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GATE Cheat Sheet 2026

The 30 highest-yield GATE facts, distilled from real exam questions. Print it, save it as a PDF, or study it here β€” free, no sign-up.

65 questions
180 min time limit
30% to pass
  1. The CRC polynomial x^3 + x + 1 is applied to the message 1011. What is the degree of the remainder after division? β†’ At most degree 2
  2. Which study approach is most effective for Digital Logic material? β†’ Active recall with practice questions
  3. What is the difference between a hypothesis and a theory? β†’ A hypothesis is a testable prediction; a theory is a well-supported explanation
  4. A sum doubles in 5 years at simple interest. In how many years will it become 4 times? β†’ 15 years
  5. What comes next in the series: AZ, BY, CX, DW, __? β†’ EV
  6. What is the main purpose of brainstorming? β†’ Generate multiple ideas quickly
  7. Why is continuing education important in Signal Processing? β†’ To stay current with evolving standards and practices
  8. The OSPF routing protocol is based on which algorithm? β†’ Link state
  9. If A is an invertible matrix, what is the determinant of A inverse? β†’ 1/det(A)
  10. Statements: No cat is a dog. All dogs are animals. Conclusion: No cat is an animal. Is the conclusion valid? β†’ No, it does not follow
  11. The general solution of the second-order ODE y'' - 4y = 0 is: β†’ y = C₁e^(2x) + Cβ‚‚e^(-2x)
  12. A bag contains 3 red and 5 blue balls. Two balls are drawn without replacement. What is the probability both are red? β†’ 3/28
  13. Which of the following is NOT a condition for deadlock? β†’ Preemption
  14. In a hash table using chaining with n keys stored in m slots under simple uniform hashing, the expected time for a successful search is: β†’ O(1 + n/m)
  15. The number of asymptotes in the root locus of a system with 4 poles and 1 zero is: β†’ 3
  16. Why is continuing education important in Digital Logic? β†’ To stay current with evolving standards and practices
  17. In two's complement representation, what is βˆ’5 in 4 bits? β†’ 1011
  18. In the Banker's algorithm, a state is considered safe if: β†’ There exists a sequence in which all processes can complete
  19. For a PID controller, the derivative action primarily provides: β†’ Anticipatory control that reduces overshoot and improves stability
  20. A box contains 3 red, 4 blue, and 5 green balls. One ball is drawn at random. What is the probability it is NOT green? β†’ 7/12
  21. Which relational algebra operation is equivalent to the SQL HAVING clause? β†’ Selection (Οƒ) applied after aggregation
  22. What is the opposite of 'benevolent'? β†’ Malevolent
  23. A shopkeeper marks his goods at 25% above cost price and allows a 10% discount. What is his profit percentage? β†’ 12.5%
  24. Choose the word closest in meaning to VERBOSE. β†’ Wordy
  25. In a Venn diagram with sets A and B, |A| = 30, |B| = 25, |A βˆͺ B| = 45. What is |A ∩ B|? β†’ 10
  26. What is the difference between an element and a compound? β†’ An element is a pure substance; a compound is two or more elements chemically combined
  27. Which of the following is an example of a real-time operating system (RTOS)? β†’ VxWorks
  28. How does documentation support quality in Signal Processing? β†’ It creates records, ensures consistency, and enables improvement
  29. What does Bernoulli’s principle describe? β†’ Fluid dynamics
  30. The probability that a standard normal random variable Z satisfies P(Z > 1.96) is approximately: β†’ 0.025
Turn these facts into recall:
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