List of top Questions asked in GATE CS

Consider the following C program: \begin{verbatim} #include stdio.h int main(){ int a = 6; int b = 0; while(a<10) { a = a / 12 + 1; a += b; } printf("%d", a); return 0; } \end{verbatim} Which one of the following statements is CORRECT?
Consider the following C program: \begin{verbatim} #include stdio.h void fX(); int main(){ fX(); return 0; } ____________________________ void fX(){ char a; if((a = getchar()) != '\n') fX(); if(a != '\n') putchar(a); } \end{verbatim} Assume that the input to the program from the command line is 1234 followed by a newline character. Which one of the following statements is CORRECT?
Let \( S \) be the specification: "Instructors teach courses. Students register for courses. Courses are allocated classrooms. Instructors guide students." Which one of the following ER diagrams CORRECTLY represents \( S \)? \includegraphics[width=6.5cm]{21a.png}
\includegraphics[width=6.5cm]{21b.png}
\includegraphics[width=6.5cm]{21c.png}
\includegraphics[width=6.5cm]{21d.png}
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. \begin{center} \includegraphics[width=10cm]{8.png} \{0.5cm} \begin{tabular}{|c|c|} \hline Macronutrient & Energy density (kcal/g)
\hline Carbohydrates & 4
Proteins & 4
Unsaturated fat & 9
Saturated fat & 9
Trans fat & 9
\hline \end{tabular} \end{center} The total fat (all three types), in grams, this person consumes is:
The product of all eigenvalues of the matrix \[ \begin{bmatrix} 1 & 2 & 3
4 & 5 & 6
7 & 8 & 9 \end{bmatrix} is: \]
Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers \( A \) and \( B \) are represented as \( A = 01010 \) and \( B = 11010 \). Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?
Let \( f: \mathbb{R} \to \mathbb{R} \) be a function such that \( f(x) = \max\{x, x^3\ \), \( x \in \mathbb{R} \), where \( \mathbb{R} \) is the set of all real numbers. The set of all points where \( f(x) \) is NOT differentiable is:}
A rectangular paper of 20 cm \( \times \) 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is:
A rectangular paper sheet of dimensions \( 54 \, \text{cm} \times 4 \, \text{cm} \) is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is:
The least number of squares to be added in the figure to make AB a line of symmetry is: \begin{center} \includegraphics[width=6cm]{10.png} \end{center}
For positive non-zero real variables \( p \) and \( q \), if \[ \log (p^2 + q^2) = \log p + \log q + 2\log 3, \] then, the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
In the given text, the blanks are numbered (i)–(iv). Select the best match for all the blanks.
Steve was advised to keep his head \_\_\_ (i) \_\_\_ before heading \_\_\_ (ii) \_\_\_ to bat; for, while he had a head \_\_\_ (iii) \_\_\_ batting, he could only do so with a cool head \_\_\_ (iv) \_\_\_ his shoulders.
Consider the following sample of numbers: \[ 9, \, 18, \, 11, \, 14, \, 15, \, 17, \, 10, \, 69, \, 11, \, 13 \] The median of the sample is:
The number of coins of Rs.1, Rs.5, and Rs.10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs.5 coins is:
If \( \to \) denotes increasing order of intensity, then the meaning of the words [dry \( \to \) arid \( \to \) parched] is analogous to [diet \( \to \) fast \( \to \) \_\_\_\_\_].
A cube is to be cut into 8 pieces of equal size and shape Here each cut should be straight and it should not stop till it reaches the other end of the cube The minimum number of such cuts required?
Consider a disk with the following specifications: rotation speed of 6000 RPM, average seek time of 5 ms, 500 sectors/track, 512 B sectors. A file has content stored in 3000 sectors located randomly on the disk. Assuming average rotational latency, the total time (in secs, rounded to 2 places) to read the entire file from the disk is?
A processor with 16 GPR's uses a 32-bits instruction format. The instruction format consists of an op-code field, an addressing mode field, register operand fields, and a 16-bit scalar operand field. If 8 addressing modes are to be supported, the max. number of unique op-codes possible for every addressing mode is_______
log \([\frac{x+y}{2}]=\frac{1}{2}\) (log x+log y) the value of \(\frac{x}{y}+\frac{y}{x}\) is
The value of x in given series is
6, 9, 14, x, 30, 41
Increasing order of the intensity
Walk → Jog → Sprint
Bothered →? Daunted
If \(A_{n×n}\) such that A is real matrix and B is any matrix which is obtained from A by interchanging any two rows then pick the true statements?
The probability of getting a distinct number while throwing dice six times?
 
\(∫_{x=0}^a ∫^{y=1}_{y=\sqrt\frac{x}{a}}\)  \(e^{y^3}\) dy dx=(e-1) then the value of a is