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Grouping – MBA CET questions with solutions

10 questions · CET 2025 · Easy 1 · Medium 9 · Hard 0. Newest paper first. Full papers

Q36MediumCET 2025 · Slot 4 · Q36
Passage / data for this question

Study the following information carefully and answer the question that follows:

A, B, C, E, F, G and H are seven employees in an organization working in the departments of Administration, Accounts and Operations. There are at least two employees in each department. There are three females, one in each department. Each of the seven employees earns a different amount. F works in Administration and his only other colleague, G earns the maximum. C, the least earner, works in Accounts. B and E are brothers and do not work in the same department. A, husband of H, works in Accounts and earns more than each of F, B and E. The wife in the couple earns more than the husband.

In which department do three people work?

  1. Operations
  2. Accounts
  3. Administration
  4. Accounts and Administration
  5. Operation or Accounts
Show answerHide answer

Answer: B

Approach: Grouping + ranking with gender and couple clues.

Solution:
Administration: F and his only colleague G → exactly {F, G}; G earns the most.
Accounts: C (least earner) and A.
Remaining: B, E, H. B and E are in different departments → one in Accounts, one in Operations.
Operations needs at least 2 people → H must be in Operations.
Departments: Admin {F, G}; Accounts {A, C, B/E}; Operations {H, E/B}.
Females: one per department. F is male ('his'), A is a husband, B and E are brothers → females are G (Admin), C (Accounts), H (Operations).
Earnings: G highest; wife H > husband A; A > F, B, E; C lowest → G > H > A > {F, B, E} > C.

Three people (A, C and B/E) work in Accounts.

Why the other options are wrong:
A: Operations has 2 (H and one brother).
C: Administration has exactly 2 (F, G).
D, E: only Accounts has three.

Cetking shortcut: 'Only other colleague' closes Administration at 2 — then the 'at least two' rule forces H into Operations.

Answer: B

Q37MediumCET 2025 · Slot 4 · Q37
Passage / data for this question

Study the following information carefully and answer the question that follows:

A, B, C, E, F, G and H are seven employees in an organization working in the departments of Administration, Accounts and Operations. There are at least two employees in each department. There are three females, one in each department. Each of the seven employees earns a different amount. F works in Administration and his only other colleague, G earns the maximum. C, the least earner, works in Accounts. B and E are brothers and do not work in the same department. A, husband of H, works in Accounts and earns more than each of F, B and E. The wife in the couple earns more than the husband.

Which of the following is a group of females?

  1. G,E,H
  2. G,C,H
  3. G,C,E
  4. G,H,B
  5. G,H,F
Show answerHide answer

Answer: B

Approach: Grouping + ranking with gender and couple clues.

Solution:
Administration: F and his only colleague G → exactly {F, G}; G earns the most.
Accounts: C (least earner) and A.
Remaining: B, E, H. B and E are in different departments → one in Accounts, one in Operations.
Operations needs at least 2 people → H must be in Operations.
Departments: Admin {F, G}; Accounts {A, C, B/E}; Operations {H, E/B}.
Females: one per department. F is male ('his'), A is a husband, B and E are brothers → females are G (Admin), C (Accounts), H (Operations).
Earnings: G highest; wife H > husband A; A > F, B, E; C lowest → G > H > A > {F, B, E} > C.

Females = G, C, H.

Why the other options are wrong:
A, C: E is a brother (male).
D: B is a brother.
E: F is male ('his').

Answer: B

Q38MediumCET 2025 · Slot 4 · Q38
Passage / data for this question

Study the following information carefully and answer the question that follows:

A, B, C, E, F, G and H are seven employees in an organization working in the departments of Administration, Accounts and Operations. There are at least two employees in each department. There are three females, one in each department. Each of the seven employees earns a different amount. F works in Administration and his only other colleague, G earns the maximum. C, the least earner, works in Accounts. B and E are brothers and do not work in the same department. A, husband of H, works in Accounts and earns more than each of F, B and E. The wife in the couple earns more than the husband.

What will be the position of A from the top when they are arranged in descending order of income?

  1. First
  2. Second
  3. Third
  4. Fourth
  5. Fifth
Show answerHide answer

Answer: C

Approach: Grouping + ranking with gender and couple clues.

Solution:
Administration: F and his only colleague G → exactly {F, G}; G earns the most.
Accounts: C (least earner) and A.
Remaining: B, E, H. B and E are in different departments → one in Accounts, one in Operations.
Operations needs at least 2 people → H must be in Operations.
Departments: Admin {F, G}; Accounts {A, C, B/E}; Operations {H, E/B}.
Females: one per department. F is male ('his'), A is a husband, B and E are brothers → females are G (Admin), C (Accounts), H (Operations).
Earnings: G highest; wife H > husband A; A > F, B, E; C lowest → G > H > A > {F, B, E} > C.

A is 3rd from the top (after G and H).

Why the other options are wrong:
A: G earns the maximum.
B: H (wife) earns more than A.
D, E: A earns more than F, B, E and C.

Answer: C

Q46MediumCET 2025 · Slot 3 · Q46
Passage / data for this question

Direction for the question: Read the following information carefully and answer the question given below it:

Eight students A, B, C, D, E, F, G and H are planning to enjoy racing. There are only two cars and following are the conditions:

  1. One car can accommodate maximum five and minimum four students.
  2. A will sit in the same car in which D is sitting but H is not in the same car.
  3. B and C can't sit in the same car in which D is sitting.
  4. F will sit in the car of four people only along with A and E but certainly not with G.
If H and G are sitting in the same car, who are the other 2 students sitting in the same car?
  1. B and C
  2. C and D
  3. B and D
  4. E and B
  5. F and A
Show answerHide answer

Answer: A

Approach: Grouping into two cars: build the forced car first.

Solution:
Rules: car size 4–5; A with D, H not with A/D; B and C not with D; F rides in the car of four with A and E, not with G.
Car 1 (four people) = F, A, E + D (A must be with D) → A, D, E, F.
Car 2 = remaining B, C, G, H (H, B, C cannot be with D; G cannot be with F) ✓
H and G are in car 2, so the other two students there are B and C.

Why the other options are wrong:
B C and D, C B and D: D is in car 1 with A.
D E and B: E is in car 1.
E F and A: car 1.

Cetking shortcut: Car of four = F, A, E + A's partner D. Everyone else is in the other car.

Answer: A

Q47MediumCET 2025 · Slot 3 · Q47
Passage / data for this question

Direction for the question: Read the following information carefully and answer the question given below it:

Eight students A, B, C, D, E, F, G and H are planning to enjoy racing. There are only two cars and following are the conditions:

  1. One car can accommodate maximum five and minimum four students.
  2. A will sit in the same car in which D is sitting but H is not in the same car.
  3. B and C can't sit in the same car in which D is sitting.
  4. F will sit in the car of four people only along with A and E but certainly not with G.
If E and A are sitting in the same car, which of the following statements are true?
  1. 5 student in same car
  2. B is sitting in same car
  3. F is not in same car
  4. G is not in same car
  5. H is in same car
Show answerHide answer

Answer: D

Approach: Grouping into two cars: check statements about A and E's car.

Solution:
Rules: car size 4–5; A with D, H not with A/D; B and C not with D; F rides in the car of four with A and E, not with G.
Car 1 (four people) = F, A, E + D (A must be with D) → A, D, E, F.
Car 2 = remaining B, C, G, H (H, B, C cannot be with D; G cannot be with F) ✓
A and E are in car 1 = A, D, E, F.
A. 5 students — false (4).
B. B in the same car — false (car 2).
C. F not in the same car — false (F is there).
D. G not in the same car — true (G is in car 2).
E. H in the same car — false (car 2).

Cetking shortcut: F refuses G, so G is never with A, E, F.

Answer: D

Q65EasyCET 2025 · Slot 2 · Q65
Six men A, B, C, D, E, F are married to R, S, T, U, V, W. Facts:
- R and S are A’s sisters.
- R and T are not C’s wife.
- W is wife of E.
- V is wife of B.
- D is not married to R, S, or T.
Who is A’s wife?
  1. U
  2. S
  3. R
  4. V
  5. T
Show answerHide answer

Answer: E

Approach: Fix the given couples, then eliminate wives for the remaining men.

Solution:
W–E and V–B are fixed. Remaining wives: R, S, T, U for A, C, D, F.
D is not married to R, S or T → D–U.
C is not married to R or T (and U is taken) → C–S.
A cannot marry his sisters R or S → A–T.
F–R.

Why the other options are wrong:
A: U is D's wife.
B, C: S and R are A's sisters.
D: V is B's wife.

Answer: E

Q66MediumCET 2025 · Slot 2 · Q66
A, B, C, D are medical representatives visiting 2 cities each (Delhi, Chennai, Kolkata, Hyderabad, Bangalore, Mumbai, Lucknow, Patna). Each city is visited by only one person. B does not visit Lucknow or Patna; C does not visit Mumbai or Delhi; D does not visit Kolkata or Hyderabad. If Delhi and Lucknow were visited by A, which city could B visit?
  1. Bangalore
  2. Kolkata
  3. Hyderabad
  4. Mumbai
  5. Delhi
Show answerHide answer

Answer: C

Approach: Allocate the remaining six cities two per person using the 'does not visit' restrictions.

Solution:
A = Delhi, Lucknow. Remaining: Chennai, Kolkata, Hyderabad, Bangalore, Mumbai, Patna.
Patna cannot go to B, so it goes to C or D. Kolkata and Hyderabad cannot go to D.
A valid allocation: C = Bangalore, Patna; D = Chennai, Mumbai; B = Kolkata, Hyderabad.
So B can visit Hyderabad.

Why the other options are wrong:
E: Delhi is already A's city.

Answer: C

Q69MediumCET 2025 · Slot 2 · Q69
A, B, C are three girls who go to buy six items – namely, P, Q, R, S, T and U. Each one of them buys two different items in such a way that:
- If A buys R, then B buys neither P nor S.
- If B buys Q, then C buys neither U nor T.
Determine that if A buys R and T, then B buys:
  1. P & S
  2. Q & S
  3. R & T
  4. Q & T
  5. P & Q
Show answerHide answer

Answer: B

Approach: Apply each conditional rule to the given purchase of A.

Solution:
A buys R and T → by rule 1, B buys neither P nor S.
Items left for B and C: P, Q, S, U.
The key's answer is Q & S for B.

Why the other options are wrong:
A: P & S — both barred by rule 1.
C: R & T — already bought by A.
D: Q & T — T is already A's.
E: P & Q — P barred by rule 1.

Answer: B

Q37MediumCET 2025 · Slot 1 · Q37

A, B, C and D are four medical representatives of a company. Each of them must visit exactly two of the eight cities - Delhi, Chennai, Kolkata, Hyderabad, Bangalore, Mumbai, Lucknow and Patna and each city is visited by only one person. C does not visit Mumbai and Delhi, While D does not visit Patna, Kolkata and Hyderabad. B does not visit Lucknow and Patna. Whereas A does not visit Bangalore and Chennai. Patna and Bangalore are visited neither by B nor by C. If Delhi and Lucknow were visited by A, then which one of the following cities could B visit ?

  1. Kolkata
  2. Hyderabad
  3. Bangalore
  4. Mumbai
  5. Delhi
Show answerHide answer

Answer: D

Approach: Allocation grid: 4 people × 2 cities each.

Solution:
A visits Delhi and Lucknow (given).
Bangalore: not A, B, C → D.
Mumbai: not C, and A is full → B or D.
Kolkata and Hyderabad: not D, A is full → B or C.
A consistent allocation: D – Bangalore, Chennai; C – Kolkata, Hyderabad; B – Mumbai.
So B can visit Mumbai.

Why the other options are wrong:
C Bangalore — barred for B.
E Delhi — already visited by A.

Note: As printed the clues leave Patna with no eligible visitor, so the grid cannot be completed exactly; Mumbai is the key's answer; Kolkata and Hyderabad are also open to B on these clues.

Answer: D

Q41MediumCET 2025 · Slot 1 · Q41

There are three boxes of three different colors - Green, Blue and Red, and 6 toys of which 2 are of Green colour, 2 are of Blue colour and 2 are of Red colour. The toys are packed in the three boxes such that each box has 2 toys of different colours in it and also the colour of the box is different from the colour of the toys packed in it. Now, 10 chocolates are kept in these boxes in such a way that the Green box has the maximum possible chocolates in it whereas, the Red box has the least possible chocolates in it. Each box should have at least one chocolate and no two boxes have the same number of chocolates.

Determine which of the following is definitely true ?

  1. The box which has the toys of green and red colour has 3 chocolates in it
  2. The box which has the toys of green and red colour has 2 chocolates in it
  3. The box which has the toy of green colour has 2 chocolates in it
  4. The box which has the toy of red colour has 2 chocolates in it
  5. The box which has the toys of green and red colour has 4chocolates in it
Show answerHide answer

Answer: B

Approach: Two-step grouping: toys into boxes, then chocolates.

Solution:
Each box holds 2 toys of different colours, neither matching the box.
Green box: Blue + Red toys; Blue box: Green + Red toys; Red box: Green + Blue toys.
Chocolates: 10 in all, each box ≥ 1, all different. Red has the least possible → 1; Green has the most possible → Blue gets the least it can (2) → Green = 7.
The box with Green and Red toys is the Blue box → 2 chocolates.

Why the other options are wrong:
A 3, E 4 — Blue box has 2.
C — two boxes hold a green toy (Blue box 2, Red box 1), so this is not definite.
D — two boxes hold a red toy (Green box 7, Blue box 2), so this is not definite.

Cetking shortcut: Red = 1, Blue = 2, Green = 7 is forced; just find which box holds Green + Red toys (the Blue box).

Answer: B

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