General Aptitude Problems

If '→' denotes increasing order of intensity, and [dry → arid → parched] is analogous to [diet → fast → ______], which option appropriately fills the blank?

Given two distinct non-zero real variables $x$ and $y$ such that $(x + y)$ is proportional to $(x - y)$, what can be concluded about the value of $\frac{x}{y}$?

Consider the sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13. What is the median of this sample?

A person has coins of ₹1, ₹5, and ₹10 denominations in the ratio 5:3:13. What percentage of the total amount is made up of ₹5 coins?

For positive non-zero real variables $p$ and $q$, if $\log(p^2 + q^2) = \log p + \log q + 2 \log 3$, then what is the value of $\frac{p^4 + q^4}{p^2q^2}$?

Select the option that correctly fills the blanks (i)-(iv) in the following sentence: 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.

A rectangular paper sheet of dimensions 54 cm × 4 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. What is the ratio of the volume of the cylindrical tube to the volume of the cube?

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. Given the energy densities of Carbohydrates, Proteins, Unsaturated fat, Saturated fat, and Trans fat as 4, 4, 9, 9 and 9 kcal/g respectively, what is the total fat (all three types), in grams, this person consumes?

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. What is the perimeter of the final folded sheet (in cm)?

In the figure, what is the least number of squares that must be added to make AB a line of symmetry?

Let $f: \mathbb{R} \rightarrow \mathbb{R}$ 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. For what set of all points is $f(x)$ NOT differentiable?

What is the product of all eigenvalues of the following matrix? $\begin{bmatrix} 1 & 2 & 3 \ 4 & 5 & 6 \ 7 & 8 & 9 \end{bmatrix}$

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?

Consider a permutation sampled uniformly at random from the set of all permutations of {1, 2, 3, …, n} for some n ≥ 4. Let X be the event that 1 occurs before 2 in the permutation and Y the event that 3 occurs before 4. Which one of the following statements is TRUE?

Which one of the following statements is FALSE?

A user starts browsing a webpage hosted at a remote server. The browser opens a single TCP connection to fetch the entire webpage. Assume all caches are initially empty. What is the CORRECT chronological order of packets leaving the user's computer?

An algorithm checks if an integer array of size N is sorted (ascending or descending) by making a single pass through the array and comparing each element with its adjacent elements. What is the worst-case time complexity of this algorithm?

Consider the following C program:

#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;
}

Which one of the following statements is CORRECT?

Consider the following C program:

#include <stdio.h>
void fX();
int main(){
    fX();
    return 0;
}
void fX(){
    char a;
    if((a=getchar()) != '\n')
        fx();
    if(a != '\n')
        putchar(a);
}

Assume 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 of the following ER diagrams CORRECTLY represents S?

In a B+ tree, the requirement of at least half-full (50%) node occupancy is relaxed for which one of the following cases?

Which of the following statements about a relation R in first normal form (1NF) is/are TRUE?

Let $L_1$, $L_2$ be two regular languages and $L_3$ a language which is not regular. Which of the following statements is/are always TRUE?

Which of the following statements about threads is/are TRUE?

Which of the following process state transitions is/are NOT possible?

Which of the following is/are Bottom-Up Parser(s)

Let A and B be two events in a probability space with P(A) = 0.3, P(B) = 0.5, and P(A ∩ B) = 0.1. Which of the following statements is/are TRUE?

Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires have no delays. Which of the following statements about the circuit is/are CORRECT?

[Circuit Diagram: X --> NOT gate --> AND gate (with X as one input) --> Y]

TCP client P successfully establishes a connection to TCP server Q. Let $N_P$ denote the sequence number in the SYN sent from P to Q. Let $N_Q$ denote the acknowledgement number in the SYN ACK from Q to P. Which of the following statements is/are CORRECT?

Consider a 5-stage pipelined processor with Instruction Fetch (IF), Instruction Decode (ID), Execute (EX), Memory Access (MEM), and Register Writeback (WB) stages. Which of the following statements about forwarding is/are CORRECT?

Which of the following fields is/are modified in the IP header of a packet going out of a network address translation (NAT) device from an internal network to an external network?

Let A and B be non-empty finite sets such that there exist one-to-one and onto functions (i) from A to B and (ii) from A \times A to A \cup B. What are the possible values of |A|?