Eight boxes - A, B, C, D, P, Q, R and S are stacked vertically but not necessarily in the same order. Which among them is kept immediately above R?
Statement (I): Only three boxes are kept above D and only one box is kept between D and Q. Q is kept lower than D and is immediately below P.
Statement (II): Only one box is kept between A and C. C is kept three boxes above Q. As many boxes are kept above B as are kept below R.
1
Only statement I is sufficient to answer the question.
2
Only statement II is sufficient to answer the question.
3
Statement I and statement II together are sufficient to answer the question.
4
Statement I and statement II together are not sufficient to answer the question.
Official Solution
Correct Option: (3)
Step 1: Analyze Statement (I) alone.
- There are 8 positions (1=bottom, 8=top). - "Only three boxes are kept above D" D is at position 5. (Boxes at 6,7,8 are above). - "one box is kept between D and Q" and "Q is kept lower than D" D is at 5, so Q must be at position 3. - "Q is immediately below P" P is at position 4. - From (I), we have the partial stack: __ __ __ P(4) Q(3) __ __. D is at 5. So: __ __ __ D(5) P(4) Q(3) __ __. - We know the positions of D, P, Q. We don't know the position of R or the box above it. Statement I is not sufficient.
Step 2: Analyze Statement (II) alone.
- "Only one box is kept between A and C" A __ C or C __ A. - "C is three boxes above Q" C is at position x, Q is at x-4. (e.g. C=5, Q=1 or C=8, Q=4). - "As many boxes are kept above B as are kept below R" If B is at position n, R is at 9-n. (e.g. B=8, R=1; B=7, R=2 etc.). They are symmetrical. - This statement gives relative positions but no absolute positions. We cannot locate R. Statement II is not sufficient.
Step 3: Analyze both statements together.
- From (I): D=5, P=4, Q=3. - Now use (II) with this information: "C is three boxes above Q". Since Q=3, C must be at position 3+4=7. - Now use "Only one box is kept between A and C". Since C=7, A must be at position 5. But D is at position 5. This creates a contradiction.
Let me re-read "C is three boxes above Q". This means C is at position x, Q is at x-3, or C __ __ Q. No, it means 3 boxes are between them. C __ __ __ Q. So if Q=3, C=7. This seems right. Let's check the distance. Pos 7, Pos 3. Boxes at 4, 5, 6 are between them. Yes, three boxes. C=7. "Only one box is kept between A and C". C=7, so A must be at 5 or 9. 9 is not possible. So A=5. This means A and D are in the same spot (position 5). The statements are contradictory.
Let's re-read "C is kept three boxes above Q". This might mean C is at Q's position + 3 = 3+3=6. If C=6, then "one box between A and C" means A=4 or A=8. A=4 is not possible as P is there. So A=8. - So far: A=8, C=6, D=5, P=4, Q=3. - Positions left: 1, 2, 7. Boxes left: B, R, S. - Now use "As many boxes above B as below R". Let's test the remaining spots. - If B=7 (1 above), then R=2 (1 below). This works. S would be at position 1. - This gives a complete valid arrangement: A(8), B(7), C(6), D(5), P(4), Q(3), R(2), S(1). - The question is "Which box is kept immediately above R?". In this arrangement, R is at position 2. The box at position 3 is Q. - Since we have found a unique arrangement and can answer the question, both statements together are sufficient.
02
PYQ 2025
medium
general-managementID: cuet-pg-
If a group comprises of five persons A, B, C, D and E, then how many persons are taller than E?
Statement (I): A is taller than B and B is shorter than A and E only.
Statement (II): C is shorter than A and A is shorter than E.
1
Only statement I is sufficient to answer the question.
2
Only statement II is sufficient to answer the question.
3
Both statement I and II if sufficient to answer the question.
4
Both statement I and statement II together are required to answer the question.
Official Solution
Correct Option: (1)
Step 1: Analyze Statement (I) alone.
- "A is taller than B" gives us . - "B is shorter than A and E only" is the key. This means B is shorter than exactly two people: A and E. And B is taller than everyone else. - The other people are C and D. So, and . - Combining this, we have the order for four people: A, E \textgreater B \textgreater C, D. The relative order of A and E, and C and D is not known. - However, we know that the only people taller than B are A and E. This means A and E are the two tallest people in the group. - Therefore, exactly 3 people (B, C, D) are shorter than E. The question is "how many persons are taller than E?". Since E is one of the two tallest, either A is taller than E or E is taller than A. But no one else can be. So, either 0 or 1 person is taller than E. This is not sufficient to give a unique answer.
Let's re-read "B is shorter than A and E only". This means that for any person X in the group, if , then X must be either A or E. This implies that A and E are the only two people taller than B. Thus A and E are the two tallest people. The question is "how many are taller than E?". We don't know if or . So we can't answer.
Let's try another interpretation of "B is shorter than A and E only". Maybe it implies the complete order? . If this is the case, then 0 people are taller than E. This gives a unique answer. Or . Then 1 person is taller than E. The wording is ambiguous. Let's assume the first interpretation: A and E are the top two. Let's re-evaluate. Statement I is not sufficient.
Step 2: Analyze Statement (II) alone.
- "C is shorter than A" gives . - "A is shorter than E" gives . - Combining these gives . This gives the relative order of three people. It tells us nothing about B and D. We cannot determine how many people are taller than E. Statement II is not sufficient.
Step 3: Analyze both statements together.
- From (I), we know A and E are the two tallest people. - From (II), we know . - Combining these, E must be the single tallest person in the group. - Therefore, exactly zero people are taller than E. - This gives a definite answer. So both statements together are required. This contradicts the provided answer key.
Let's reconsider the wording of Statement I. "B is shorter than A and E only". This is a very strong statement. It means there is no one else taller than B. It defines the set of people taller than B as \{A, E\}. It does not say anything about people shorter than B. The question is "how many are taller than E?". We still cannot tell if or . Statement I alone is NOT sufficient.
There seems to be a fundamental error in the question or the provided answer key. My analysis suggests both statements are needed. Let's assume there is a common interpretation I am missing. Perhaps "B is shorter than A and E only" implies a rank order, with A and E being just above B. Even so, their internal rank isn't specified.
03
PYQ 2025
medium
general-managementID: cuet-pg-
P, Q, R, S, T are five consecutive integers (not necessarily in that order), such that the smallest of these is greater than 60 and the greatest is less than 70. It is known that: (i) A and B both are prime numbers. (ii) T is a multiple of 9. (iii) Both the digits of P are same. (iv) The average of R and S is 63 and the difference between R and S is 2. What is the sum of the digits of the number Q?
1
10
2
11
3
12
4
9
Official Solution
Correct Option: (2)
Step 1: Determine R and S.
- The average of R and S is 63. So . - The difference between R and S is 2. So (assuming ). - Solving these two equations: . Then . So, two of the numbers are 62 and 64.
Step 2: Determine the set of five consecutive integers.
- Since 62 and 64 are part of a set of five consecutive integers, the set must be one of these: {60,61,62,63,64}, {61,62,63,64,65}, {62,63,64,65,66}. - The problem states the smallest is . This eliminates the first set. - The greatest is . This condition is met by both remaining sets.
Step 3: Use the remaining clues to identify the correct set and assign numbers.
- (iii) "Both the digits of P are same". In the range 61–66, the only number with identical digits is 66. So . This means the set must be {62, 63, 64, 65, 66}. - (ii) "T is a multiple of 9". In this set, the only multiple of 9 is 63. So . - We have . - The remaining number in the set is 65, so . - (i) "A and B both are prime numbers". This seems to be a typo and should refer to two of the numbers P,Q,R,S,T. Let's check the primality of our numbers. None of 62, 63, 64, 65, 66 are prime. This indicates a contradiction in the problem statement.
Let's reconsider the set {61,62,63,64,65}. - is not in this set. This set is not possible. Let's re-read clue (i). "A and B both are prime numbers." This is likely a typo for two of P,Q,R,S,T. If no numbers in the set are prime, the question is flawed. Let's check the primes between 60 and 70. They are 61 and 67. If the set contains two primes, it must contain 61 and 67. The only set of 5 consecutive integers that could contain one of them is {61,62,63,64,65}. It doesn't contain 67. A set of 5 cannot contain both. This is a major contradiction. Let's ignore clue (i) and see if we can proceed.
Let's assume the set is {62, 63, 64, 65, 66}. .
Step 4: Find the sum of the digits of Q.
Final Answer:
04
PYQ 2025
medium
general-managementID: cuet-pg-
P, Q, R, S, T, A and B are consecutive integers (not necessarily in that order), such that the smallest of these is greater than 60 and the greatest is less than 70. It is known that:
(I) A and B both are prime numbers.
(II) T is a multiple of 9.
(III) Both the digits of P are same.
(IV) The average of R and S is 63 and the difference between R and S is 2.
What is the sum of A and Q if A is smaller than B?
1
126
2
128
3
120
4
122
Official Solution
Correct Option: (1)
Step 1: Determine the set of seven consecutive integers.
- The integers are between 60 and 70 (exclusive). The possible range is from 61 to 69. - Clue (I) states that A and B are both prime numbers. The only prime numbers between 61 and 69 are 61 and 67. - For a set of seven consecutive integers to contain both 61 and 67, the set must be \{61, 62, 63, 64, 65, 66, 67\}. - From Clue (I) and the condition "A is smaller than B", we can definitively say A = 61 and B = 67.
Step 2: Use the remaining clues to identify the other numbers.
- Clue (IV): The average of R and S is 63, so . Their difference is 2, so . Solving these equations gives R = 64 and S = 62. Both are in our set. - Clue (III): Both digits of P are the same. In our set, the only number with identical digits is 66. So, P = 66. - Clue (II): T is a multiple of 9. In our set, the only multiple of 9 is 63. So, T = 63.
Step 3: Identify the remaining number, Q.
- The numbers we have identified are A=61, B=67, R=64, S=62, P=66, and T=63. - The only integer left in the set \{61, 62, 63, 64, 65, 66, 67\} is 65. - Therefore, Q = 65.
Step 4: Calculate the required sum.
- The question asks for the sum of A and Q.
Final Answer:
05
PYQ 2025
medium
general-managementID: cuet-pg-
Select the related figure from the given alternatives.
1
Figure 1 (Pentagon in Pentagon)
2
Figure 2 (Triangle in Triangle)
3
Figure 3 (Hexagon in Hexagon)
4
Figure 4 (Triangle in Circle)
Official Solution
Correct Option: (1)
Step 1: Analyze the relationship in the first pair of the analogy shown in the image.
The image shows: (A pair of overlapping triangles) is to (A pair of overlapping circles).
The relationship is that the geometric shape changes. The number of vertices changes from 3 (triangle) to (circle). Step 2: Apply the same relationship to the second pair.
The second part of the analogy starts with (A pair of overlapping squares). A square has 4 vertices.
Following the pattern of increasing the number of vertices, the next logical shape in a simple sequence would be a pentagon (5 vertices).
Therefore, the missing figure should be a pair of overlapping pentagons. This corresponds to Figure 1 in the options.
06
PYQ 2025
medium
general-managementID: cuet-pg-
Directions: The symbols %, @ and \# are used with the following meanings: A % B A is greater than B, A @ B A is either greater than or equal to B, A \# B A is smaller than B.
Statement: T\#B, Q%S, T%M, Q@R, U\#S, S@T
Conclusions: I) Q%T, II) U\#T
1
Only conclusion I is true
2
Only conclusion II is true
3
Both conclusion I and II are true
4
Neither conclusion I nor II is true
Official Solution
Correct Option: (1)
Step 1: Translate the statement into standard inequality symbols.
T \textless B, Q \textgreater S, T \textgreater M, Q R, U \textless S, S T.
Step 2: Combine the relationships to find connections between variables.
From Q \textgreater S and S T, we can create a chain: Q \textgreater S T.
From U \textless S and the chain above, we have U \textless S T.
Step 3: Evaluate the conclusions.
- Conclusion I: Q % T Q \textgreater T. Our chain Q \textgreater S T confirms that Q must be greater than T. Conclusion I is true.
- Conclusion II: U \# T U \textless T. Our chain U \textless S T does not give a definite relation between U and T. For example, if S=10, T=8, U could be 9 (U\textgreater) or 7 (U \textless T). Conclusion II is false.
07
PYQ 2025
medium
general-managementID: cuet-pg-
Directions: The symbols %, @ and \# are used with the following meanings: A % B A is greater than B, A @ B A is either greater than or equal to B, A \# B A is smaller than B.
Statement: X%Y, Y\#V, W%Z, X@Z
Conclusions: I) Y%W, II) X\#Z
1
Only conclusion I is true
2
Only conclusion II is true
3
Both conclusion I and II are true
4
Neither conclusion I nor II is true
Official Solution
Correct Option: (4)
Step 1: Translate the statement.
X \textgreater Y, Y \textless V, W \textgreater Z, X Z.
Step 2: Combine the relationships where possible.
We can form a partial chain: W \textgreater Z X \textgreater Y. We also know Y \textless V.
Step 3: Evaluate the conclusions.
- Conclusion I: Y % W Y \textgreater W. From our chain, there is no defined relationship between Y and W. They could be anything relative to each other. Conclusion I is false.
- Conclusion II: X \# Z X \textless Z. The statement explicitly gives X @ Z, which means X Z. This directly contradicts the conclusion. Conclusion II is false.
08
PYQ 2025
medium
general-managementID: cuet-pg-
Rakesh left home and walked 5km southwards, then turned right and walked 2km and again turned right and walked 5 km and finally again turned left and walked 5 km. The shortest distance between the final position and home is.
1
6 km
2
7 km
3
9 km
4
10 km
Official Solution
Correct Option: (2)
Step 1: Trace Rakesh's path and track the net displacement in North-South and East-West directions.
Let the starting point (home) be the origin.
- Walked 5km South: Net displacement = -5 km (South).
- Turned right (from South is West) and walked 2km: Net displacement = -5 km (South), -2 km (West).
- Turned right (from West is North) and walked 5km: Net displacement = (-5+5) km (South/North) = 0 km. Net West displacement remains -2 km.
- Turned left (from North is West) and walked 5km: Net N-S displacement is 0. Net West displacement = (-2-5) = -7 km. Step 2: Calculate the final position and shortest distance.
The final position is 7 km West of the starting point.
The shortest distance is the straight-line distance, which is 7 km.
09
PYQ 2025
medium
general-managementID: cuet-pg-
Point A is 30 m to the North of point B. Point B is 20 m to the West of point C. Point C is 20 m to the North of point D. Point D is 20 m to the East of point E. Point F is 20 m to the South of point E. What is the shortest distance from the point D to point E?
1
m
2
20 m
3
10 m
4
15 m
Official Solution
Correct Option: (2)
Step 1: Analyze the question being asked.
The question is "What is the shortest distance from the point D to point E?". Step 2: Find the relevant piece of information from the problem description.
The description states: "Point D is 20 m to the East of point E". This statement directly defines the distance and relative position between D and E. The shortest distance is a straight line, which is given as 20 m. The rest of the information is not needed to answer this specific question.
10
PYQ 2025
hard
general-managementID: cuet-pg-
Which one will replace the question mark?
1
3
2
4
3
5
4
6
Official Solution
Correct Option: (3)
Step 1: Analyze the first figure to find a pattern.
The numbers are 6 (top-left), 4 (top-right), 8 (bottom), and the result is 4 (inside). Let's test arithmetic operations.
Let's try summing the vertices and see if it relates to the inside. (6+4+8 = 18). No obvious link to 4.
Let's try another logic: . No.
Let's re-examine the image. Perhaps the inner number is not the result. Let's assume there is a constant pattern.
Pattern 1: (Top-Left + Top-Right) - Bottom = Inside? . No.
Pattern 2: (Top-Left + Bottom) - Top-Right = Inside? . No. Let's assume the question is different and the inner number in the image is incorrect. Let's assume the provided solution logic is correct:
.
For Fig 1: .
For Fig 2: .
This pattern works, with the constant being 10. Step 2: Apply the pattern to the third figure to find the missing number.
The numbers are 12 (top-left), ? (top-right), 3 (bottom). The result must be 10.
Let the missing number be x.
,
, .
The missing number is 5.
11
PYQ 2025
medium
general-managementID: cuet-pg-
In the following question, select the missing number from the given series.
2, 5, 17, 71, ?
1
349
2
359
3
369
4
379
Official Solution
Correct Option: (2)
Step 1: Analyze the relationship between consecutive numbers in the series.
The series increases rapidly, which suggests multiplication is involved.
- From 2 to 5:
- From 5 to 17:
- From 17 to 71: Step 2: Identify the underlying pattern.
The pattern is: , where 'n' starts at 2 and increases by 1 for each step. Step 3: Apply the pattern to find the missing number.
The next step in the pattern will use n=5.
Missing Number =
Missing Number = .
12
PYQ 2025
medium
general-managementID: cuet-pg-
In a certain code language 'Logical Reasoning Exam' is written as 'Q12 D17'. 'Intention Really Matters' is written as 'R14 F25 G19'. Then how to write 'Work Hard' in the given code?
1
D11 D9
2
D11 E9
3
D11 D4
4
D10 D4
Official Solution
Correct Option: (1)
Step 1: Analyze the coding pattern.
The logic for this code is complex. Let's try to decipher a consistent rule.
A possible, though non-obvious, rule could be:
The Letter: The letter corresponding to the number of letters in the word (e.g., 4 letters \textrightarrow D). The Number: A value derived from the letter positions.
Let's test this:
- Work: 4 letters, so the code starts with D. The position of the last letter 'K' is 11. This gives D11.
- Hard: 4 letters, so the code starts with D. For the number '9', a possible logic is the sum of the positions of the first two letters (H=8, A=1, so 8+1=9). This gives D9. Step 2: Apply the derived logic.
Based on this inconsistent but plausible logic that matches the answer:
- Code for 'Work' is D11.
- Code for 'Hard' is D9.
So, 'Work Hard' is written as 'D11 D9'. Note: This question is ambiguous as the rule is not consistently applied. The solution is reverse-engineered from the given answer.
13
PYQ 2025
medium
general-managementID: cuet-pg-
Choose the correct alternative from the given options that will complete the series.
BC2, GH3, LM5, QR7, ?
1
VW10
2
VW11
3
XW11
4
RS10
Official Solution
Correct Option: (2)
Step 1: Analyze the pattern of the letters.
- BC skip D,E,F (3 letters) GH
- GH skip I,J,K (3 letters) LM
- LM skip N,O,P (3 letters) QR
- QR skip S,T,U (3 letters) VW Step 2: Analyze the pattern of the numbers.
The numbers in the series are 2, 3, 5, 7. This is the sequence of prime numbers. Step 3: Combine the patterns to find the next term.
The next pair of letters is VW.
The next prime number after 7 is 11.
Therefore, the next term in the series is VW11.
14
PYQ 2025
medium
general-managementID: cuet-pg-
Which conclusion would follow the given statements.
Statements: Some Apples are Banana. Some Bananas are Grapes. No Grape is Book.
Conclusion:
I) Some Apples are Book is a possibility.
II) All Bananas are Book.
1
Only conclusion I follows.
2
Only conclusion II follows.
3
Both conclusion I and II follow.
4
Neither conclusion I nor II follows.
Official Solution
Correct Option: (1)
Step 1: Analyze the statements using a Venn diagram approach.
- "Some Apples are Banana": The circles for Apple and Banana overlap.
- "Some Bananas are Grapes": The circles for Banana and Grape overlap.
- "No Grape is Book": The circles for Grape and Book are completely separate. Step 2: Evaluate Conclusion I.
"Some Apples are Book is a possibility."
The statements do not establish any direct relationship between Apples and Books. The Book circle must be separate from the Grape circle, but it is free to overlap with the Apple circle, the Banana circle, or be separate from both. Since there is no statement preventing Apples from being Books, the possibility exists. Thus, Conclusion I is valid. Step 3: Evaluate Conclusion II.
"All Bananas are Book."
This is a definite conclusion. We know that "Some Bananas are Grapes" and "No Grape is Book". This means that the part of the Banana circle that overlaps with the Grape circle cannot be inside the Book circle. Since at least some Bananas cannot be Books, the statement "All Bananas are Book" is definitively false. Therefore, only conclusion I follows. % Quick tip
15
PYQ 2025
medium
general-managementID: cuet-pg-
What will come in place of question mark (?) in the following series:
12, 6, 6, 9, 18, ?
1
42
2
45
3
50
4
55
Official Solution
Correct Option: (2)
Step 1: Identify the pattern connecting the terms in the series.
The series is not arithmetic or a simple geometric progression. Let's find the multiplier between each consecutive pair of numbers.
From 12 to 6: From 6 to 6: From 6 to 9: From 9 to 18:
Step 2: Analyze the sequence of multipliers.
The multipliers are 0.5, 1, 1.5, 2. This forms a simple arithmetic progression where 0.5 is added at each step. Step 3: Determine the next multiplier and calculate the next term.
The next multiplier in the sequence will be .
The next term in the series is found by multiplying the last term (18) by this multiplier.
Next Term = .
16
PYQ 2025
medium
general-managementID: cuet-pg-
Four friends A, B, C, D went to four different cities Indore, Noida, Gurugram and Nagpur for interviews in four different companies PP, QQ, RR and SS but not necessarily in the same order. A was not invited by PP. B did not go to Gurugram and was not invited by RR and PP. RR conducted its interview in Nagpur. C went to Indore. A did not go to Nagpur and was not invited by SS.40. Who went to Nagpur?
1
A
2
B
3
C
4
D
Official Solution
Correct Option: (4)
Step 1: Create a table to organize the information.
Let's make a table with columns for Friend, City, and Company. | Friend | City | Company |
|--------|---------|---------|
| A | | |
| B | | |
| C | Indore | |
| D | | | Step 2: Fill in the table with direct and deductive information.
1. C went to Indore. (Directly given)
2. RR conducted its interview in Nagpur. This means the person who went to Nagpur was interviewed by RR.
3. A did not go to Nagpur. (Given)
4. Since C is in Indore and A is not in Nagpur, and the person in Nagpur works for RR, A was not invited by RR.
5. B did not go to Gurugram. (Given)
6. A was not invited by PP or SS. (Given)
7. B was not invited by RR or PP. (Given) Step 3: Deduce the person who went to Nagpur.
The cities are Indore, Noida, Gurugram, Nagpur. C is in Indore. A is not in Nagpur. Let's see who could be in Nagpur. The person in Nagpur works for RR. B was not invited by RR, so B did not go to Nagpur.
Therefore, by elimination (D must have gone to Nagpur). And D's company is RR. Step 4: Deduce the companies for A, B, and C.
- D's company is RR.
- Companies left: PP, QQ, SS.
- A was not invited by PP or SS. So, A's company must be QQ.
- B was not invited by PP or RR. RR is taken by D. So B was not invited by PP.
- Companies left for B and C are PP and SS. Since B was not invited by PP, B's company must be SS.
- By elimination, C's company must be PP. Step 5: Deduce the remaining cities.
- C is in Indore. D is in Nagpur.
- Cities left for A and B are Noida and Gurugram.
- B did not go to Gurugram. Therefore, B must have gone to Noida.
- By elimination, A must have gone to Gurugram. Final Table:
| Friend | City | Company |
|--------|----------|---------|
| A | Gurugram | QQ |
| B | Noida | SS |
| C | Indore | PP |
| D | Nagpur | RR | Answer to Q39: C's interview was scheduled in company PP.
Answer to Q40:D went to Nagpur.
17
PYQ 2025
medium
general-managementID: cuet-pg-
Four friends A, B, C, D went to four different cities Indore, Noida, Gurugram and Nagpur for interviews in four different companies PP, QQ, RR and SS but not necessarily in the same order. A was not invited by PP. B did not go to Gurugram and was not invited by RR and PP. RR conducted its interview in Nagpur. C went to Indore. A did not go to Nagpur and was not invited by SS.39. In which company, C's interview was scheduled?40. Who went to Nagpur?
1
PP
2
QQ
3
RR
4
SS
Official Solution
Correct Option: (1)
Step 1: Create a table to organize the information.
Let's make a table with columns for Friend, City, and Company. | Friend | City | Company |
|--------|---------|---------|
| A | | |
| B | | |
| C | Indore | |
| D | | | Step 2: Fill in the table with direct and deductive information.
1. C went to Indore. (Directly given)
2. RR conducted its interview in Nagpur. This means the person who went to Nagpur was interviewed by RR.
3. A did not go to Nagpur. (Given)
4. Since C is in Indore and A is not in Nagpur, and the person in Nagpur works for RR, A was not invited by RR.
5. B did not go to Gurugram. (Given)
6. A was not invited by PP or SS. (Given)
7. B was not invited by RR or PP. (Given) Step 3: Deduce the person who went to Nagpur.
The cities are Indore, Noida, Gurugram, Nagpur. C is in Indore. A is not in Nagpur. Let's see who could be in Nagpur. The person in Nagpur works for RR. B was not invited by RR, so B did not go to Nagpur.
Therefore, by elimination (D must have gone to Nagpur). And D's company is RR. Step 4: Deduce the companies for A, B, and C.
- D's company is RR.
- Companies left: PP, QQ, SS.
- A was not invited by PP or SS. So, A's company must be QQ.
- B was not invited by PP or RR. RR is taken by D. So B was not invited by PP.
- Companies left for B and C are PP and SS. Since B was not invited by PP, B's company must be SS.
- By elimination, C's company must be PP. Step 5: Deduce the remaining cities.
- C is in Indore. D is in Nagpur.
- Cities left for A and B are Noida and Gurugram.
- B did not go to Gurugram. Therefore, B must have gone to Noida.
- By elimination, A must have gone to Gurugram. Final Table:
| Friend | City | Company |
|--------|----------|---------|
| A | Gurugram | QQ |
| B | Noida | SS |
| C | Indore | PP |
| D | Nagpur | RR | Answer to Q39: C's interview was scheduled in company PP.
Answer to Q40:D went to Nagpur.
18
PYQ 2026
medium
general-managementID: cuet-pg-
If 'All Teachers are Mentors' and 'Some Mentors are Authors', is the conclusion 'All Teachers are Authors' definitely true?
1
Yes, it is definitely true
2
No, it is definitely false
3
It cannot be determined
4
Only some Teachers are Authors
Official Solution
Correct Option: (3)
Concept:
This question is based on syllogistic reasoning, which involves drawing logical conclusions from given statements. In syllogism problems, we analyze relationships between different groups or categories using logical rules. Important principles used in syllogism:
The statement "All A are B" means every member of set A belongs to set B.
The statement "Some B are C" means at least one member of set B belongs to set C.
However, a statement about "some" elements cannot be generalized to represent "all" elements.
Step 1: Analyze the first statement. This means the entire group of Teachers lies within the group Mentors. Step 2: Analyze the second statement. This means that only a portion of Mentors are Authors. It does not imply that all Mentors are Authors.
Step 3: Check the conclusion. The conclusion states: But from the given information, we only know that:
Teachers belong to the group of Mentors.
Some Mentors are Authors.
It is possible that:
The Mentors who are Authors are not Teachers.
Teachers may belong to the portion of Mentors that are not Authors.
Therefore, the conclusion cannot be guaranteed. Step 4: Logical interpretation using set relationships. But there is no definite relation that confirms: Hence, the conclusion is not logically certain. Step 5: Selecting the correct answer.
19
PYQ 2026
medium
general-managementID: cuet-pg-
A man walks 5 km South, turns left and walks 3 km, then turns left again and walks 5 km. In which direction is he from the starting point?
1
East
2
West
3
North
4
South
Official Solution
Correct Option: (1)
Concept:
Direction sense questions test the ability to track movements and determine the final position relative to the starting point. While solving such problems, it is helpful to imagine the directions on a compass or draw a simple diagram. The four primary directions are:
North (N)
South (S)
East (E)
West (W)
Important rules:
When a person is facing South, turning left leads to the East.
When a person is facing East, turning left leads to the North.
Step 1: Start from the initial position.
Assume the man starts from point A. He first walks: He reaches point B. Step 2: First left turn.
When a person is facing South, a left turn leads to the East. He walks: He reaches point C.
Step 3: Second left turn.
Now he is facing East. Turning left from East leads to the North. He walks: He reaches point D. Step 4: Determine the final position relative to the starting point. The movements were: The 5 km South and 5 km North cancel each other out. Therefore, the final position is simply: Step 5: Selecting the correct answer. Thus, the man is located to the: of the starting point.
