In a logical sequence, if all Alpha are Beta, and some Beta are Gamma, which of the following statements must logically follow?
Logical Reasoning
Question · Easy
Consider the number series: 4, 9, 19, 39, 79, ___. What is the next term in the sequence?
If 'CODES' is written as 'DPEFT' in a cipher, how is 'LOGIC' written in the same cipher?
Five team members (A, B, C, D, E) sit in a row facing North. A is to the immediate right of B. C is between D and B. E is at the far right end. Who sits in the exact middle position?
Which of the following is the contrapositive of the conditional statement: 'If an applicant passes the DIM exam, then they are eligible for master's allocation'?
A clock shows 3:00. What is the smaller angle formed between the hour hand and the minute hand?
Pointing to a photograph, Rashad says, 'His mother is the only daughter of my mother.' How is the person in the photograph related to Rashad?
In a Venn diagram of 100 graduate applicants, 60 study English, 45 study German, and 15 study both languages. How many applicants study neither language?
Complete the logical analogy: Doctor is to Hospital as Professor is to ___.
Statement: 'All project managers must complete risk assessment training.' Which assumption is necessary for this statement to hold?
Evaluate the statement: 'No research papers submitted after midnight will be graded.' Leyla submitted her research paper at 11:45 PM. What can be definitively concluded?
Four items W, X, Y, and Z have different weights. W is heavier than X. Y is lighter than Z. X is heavier than Z. Which item is the lightest?
If 'NORTH' becomes 'SOUTH', 'EAST' becomes 'WEST', what does 'NORTH-EAST' become under the same directional inversion?
Identify the odd word out among the following set: Matrix, Vector, Determinant, Microscope.
Find the missing number in the 3x3 matrix grid: [ 2, 4, 8 ] [ 3, 9, 27 ] [ 4, 16, ? ]
A student walks 5 km North, turns right and walks 3 km, then turns right again and walks 5 km. How far and in what direction is the student from their starting point?
Question · Medium
Premise 1: All database administrators understand SQL. Premise 2: Orkhan understands SQL. Conclusion: Orkhan is a database administrator. Which of the following describes the validity of this argument?
Six examinees P, Q, R, S, T, and U take an exam. P scores higher than Q. R scores higher than S but lower than Q. T scores higher than P. U scores lower than S. Who scored the lowest?
In a certain code, '315' means 'books are useful', '542' means 'useful research tools', and '374' means 'books provide research'. Which digit represents 'useful'?
Select the logical completion for the sequence: 2, 6, 12, 20, 30, 42, ___.
A cubical block with edge 4 cm is painted red on all outer surfaces, then cut into 64 smaller cubes of 1 cm edge. How many of the 1 cm cubes have exactly two painted red faces?
Statement: 'If government grants increase, university enrollment rises.' Which situation logically refutes this conditional statement?
Four scholars A, B, C, and D present at a seminar. A presents before B. C presents after D. B presents before D. What is the correct chronological order of presentations?
In a survey of 120 graduate students, 70 study Computer Science, 50 study Data Analytics, and 20 study neither. How many students study both Computer Science and Data Analytics?
If 5 workers complete a digitization task in 12 days, how many days will 6 workers take to complete the same task at the same working rate?
Which term missing in the series completes the pattern: AZ, CX, EV, GT, ___?
All software engineers write code. Some researchers write code. No administrative assistants write code. Which deduction must be true?
A bag contains 4 red balls, 5 blue balls, and 6 green balls. If one ball is drawn at random, what is the probability that it is NOT red?
If 'PARALLEL' is coded as 'QBSBMMFM', how is 'GEOMETRY' coded in the same shift system?
What number replaces the question mark in the sequence: 3, 5, 9, 17, 33, ?
A committee of 3 members is to be formed from 4 faculty members and 3 students. How many different committee selections can be formed containing exactly 2 faculty members and 1 student?
Statements: 1. Some computers are laptops. 2. All laptops are portable devices. Conclusions: I. Some computers are portable devices. II. All portable devices are computers. Which conclusion(s) follow logically?
If a father is currently three times as old as his son, and 12 years ago he was six times as old as his son, what is the son's current age?
Which of the following figures cannot be drawn without lifting the pen or retracing any line segment (Eulerian path check)?
In a competitive exam, 4 marks are awarded for each correct answer and 1 mark is deducted for each wrong answer. An examinee attempts 60 questions and scores 190 marks. How many questions did the examinee answer correctly?
Identify the missing element in the grid pattern: 2 -> 4 -> 16 3 -> 9 -> 81 5 -> 25 -> ?
If 'A + B' means A is the brother of B; 'A - B' means A is the sister of B; and 'A * B' means A is the father of B. Which expression means 'P is the uncle of Q'?
A train traveling at 72 km/h crosses a 200 m long platform in 25 seconds. What is the length of the train?
In a code language, 451 means 'bright clean room', 582 means 'clean white wall', and 168 means 'bright blue wall'. Which digit represents 'room'?
Which of the following statement pairs represents a logical contradiction?
Eight candidates (A to H) sit at equal spacing around a circular table, all facing the centre. The seats are numbered 1 to 8 in clockwise order. A occupies seat 1. B occupies the seat directly opposite A. C sits immediately clockwise of B. D sits immediately anticlockwise of A. Counting clockwise from C, how many seats must you move to reach D?
Question · Hard
A container holds 80 liters of pure alcohol. 20 liters are withdrawn and replaced with water. Then 20 liters of the mixture are withdrawn and replaced with water again. What is the final volume of pure alcohol remaining in the container?
Three alarm clocks ring at intervals of 12, 15, and 20 minutes respectively. If they ring together at 08:00 AM, at what time will they next ring together?
Statements: 1. All research fellows hold doctorates. 2. No undergraduate student holds a doctorate. 3. Some lab assistants are research fellows. Which conclusion logically follows?
Find the angle between the hour hand and the minute hand of an analog clock at 4:20.
In a tournament of 8 teams where every team plays every other team exactly once, how many total matches are played?
A cryptarithm puzzle replaces digits with letters: AB + BA = CDC. If distinct letters represent distinct non-zero digits, what is the value of C?
A logic puzzle involves 3 boxes labeled 'Red', 'Blue', and 'Mixed'. You know that ALL three labels are incorrect. You draw one ball from the box labeled 'Mixed' and it is Red. Which label belongs to which box?
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