The CAT QA section requires speed and accuracy, along with a thorough understanding of the Logical Reasoning. This article provides a set of MCQs on Logical Reasoning to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the CAT 2025 exam preparation
Whether you're revising the basics or testing your knowledge, these MCQs will serve as a valuable practice resource.
The CAT 2025 exam is expected to follow a similar trend to the CAT 2024, with 22 questions from the QA section out of a total of 68 questions.
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CAT MCQs on Logical Reasoning
1. There are five machines A, B, C, D, and E situated on a straight line at distances of 10 metres, 20 metres, 30 metres, 40 metres, and 50 metres respectively from the origin of the line. A robot is stationed at the origin of the line. The robot serves the machines with raw material whenever a machine becomes idle. All the raw material is located at the origin. The robot is in an idle state at the origin at the beginning of a day. As soon as one or more machines become idle, they send messages to the robot-station and the robot starts and serves all the machines from which it received messages. If a message is received at the station while the robot is away from it, the robot takes notice of the message only when it returns to the station. While moving, it serves the machines in the sequence in which they are encountered, and then returns to the origin. If any messages are pending at the station when it returns, it repeats the process again. Otherwise, it remains idle at the origin till the next message(s) is received.Suppose on a certain day, machines A and D have sent the first two messages to the origin at the beginning of the first second, and C has sent a message at the beginning of the 5th second and B at the beginning of the 6th second, and E at the beginning of the 10th second. How much distance in metres has the robot travelled since the beginning of the day, when it notices the message of E? Assume that the speed of movement of the robot is 10 metres per second.
A
140
B
80
C
340
D
360
2. In a bag there are a total of 150 coins in three denominations – Re.1, ₹2 and ₹5 – with at least one coin of each denomination. The total value of Re.1 coins is at least 50% of the total value of the coins. There are 23 ₹5 coins and the total value of ₹2 coins is at least 3% of the total value of coins. Find the number of ₹2 coins in the bag.
A
2
B
3
C
4
D
1
3. Let P, Q, S, R, T, U and V represent the seven distinct digits from 0 to 6, not necessarily in that order. If PQ and RS are both two-digit numbers adding up to the three-digit number TUV, find the value of V.
A
3
B
6
C
5
D
Cannot be determined
4. There are five cards in a row with numbers from 1 to 100. Each adjacent pair must not differ by a multiple of 4. The remainder when each number is divided by 4 is written on a sixth card, in that order. How many different sequences can be written on the sixth card?
A
\( 2^3 3 \)
B
\( 4 3^4 \)
C
\( 4^2 3^3 \)
D
\( 4 3^3 \)
5. If each X-Ray occupies 30MB and a new technology reduces space by 60%, what is the total magnetic media memory required to store all the X-Rays in the year 2000? (1MB = \(10^6\) Bytes)
A
10,170 TB
B
6,780 TB
C
1,703,170 TB
D
None of these
6. TV company makes 2 models A and B. - A takes 4 hrs to make, B takes 2 hrs
- Max 1000 hrs available
- Profit per unit: A → ₹1200, B → ₹800
- Want to maximize profit under constraints
- Max 1000 hrs available
- Profit per unit: A → ₹1200, B → ₹800
- Want to maximize profit under constraints
A
200 model As and 400 model Bs
B
100 model As and 600 model Bs
C
800 model Bs
D
None of the above
7. In a college election, 5 candidates contested and 100 students voted. If each student voted for 2 candidates, and each pair of candidates received the same number of votes, how many votes did each candidate get?
A
40
B
50
C
60
D
80
8. A number when divided by 4, 5 and 6 leaves remainders 2, 3 and 4 respectively. What is the smallest such number?
A
58
B
62
C
86
D
74
9. If Lewis participated in two sports, which of the following is definitely false?
A
Mike did not participate in Skiing.
B
John participated in Paragliding.
C
Lewis participated in Skiing.
D
Mike participated in Paragliding.
10. If \( g = 9 \), then what is the minimum possible number of times for which the weighing machine is to be used?
A
1
B
2
C
3
D
4
11. In a family of six members—P, Q, R, S, T, and U—there are three males and three females. P is married to Q, and they have two daughters, S and T. R is the only son of P. U is the mother-in-law of Q. Who is the father-in-law of Q?
A
R
B
S
C
T
D
None of these
12. 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, then which of the following means that M is the daughter of N?
A
N × M
B
M – N
C
N + M
D
M × N
13. Statements: All lawyers are educate(d) Some educated people are engineers.
Conclusions:
I. Some lawyers are engineers.
II. Some engineers are educate(d)
Conclusions:
I. Some lawyers are engineers.
II. Some engineers are educate(d)
A
Only I follows
B
Only II follows
C
Both I and II follow
D
Neither I nor II follows
14. Five students—A, B, C, D, and E—are seated in a row facing north. B is second to the left of (d) E is to the immediate right of (a) C is not at an en(d) Who is in the middle?
A
A
B
B
C
C
D
D
15. If the day after tomorrow is Wednesday, what day is it today?
A
Monday
B
Tuesday
C
Sunday
D
Friday
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