Important: the uploaded source for "2018" is not a GATE Signals and Systems paper. It is a generic placeholder titled "Demo Exam with Solutions" (attributed to "Dr. Smith") containing five unrelated general-knowledge questions (a derivative, the capital of France, a prime number, a non-programming language, and a trigonometric value). It has been rendered faithfully below so nothing is lost, but the correct GATE 2018 Signals and Systems content should be supplied to replace it. The five demo answers are all correct as given.
Q1. Derivative of \(f(x)=x^2\)
Options: (A) \(x\) (B) \(2x\) (C) \(x^3\) (D) \(2\). The derivative of \(x^2\) is \(2x\).
B
Final Answer
Correct answer: B.
Question 2 (demo)
What is the capital of France? Options: (A) Berlin (B) Madrid (C) Paris (D) Rome.
Solution
The capital of France is Paris.
C
Final Answer
Correct answer: C.
Question 3 (demo)
Which of these numbers is prime? Options: (A) 21 (B) 19 (C) 25 (D) 27.
Solution
\(19\) is prime; \(21=3\times7\), \(25=5^2\), \(27=3^3\).
B
Final Answer
Correct answer: B.
Question 4 (demo)
Which of the following is NOT a programming language? Options: (A) Python (B) Java (C) HTML (D) C++.
Solution
HTML is a markup language, not a programming language.
C
Final Answer
Correct answer: C.
Question 5 (demo)
If \(\sin\theta=1\), then \(\theta\) equals: (A) \(0^\circ\) (B) \(90^\circ\) (C) \(180^\circ\) (D) \(270^\circ\).
Solution
\(\sin\theta=1\) when \(\theta=90^\circ\).
B
Final Answer
Correct answer: B.