Employee Workshop Selection Constraints
CAT 2005 Slot 1 · DILR · Hard · DILR
Passage / data set
An organization has 20 employees. Key info on gender (M/F), designation (Mgr/Dir/Exe), age group (Y=Young, I=In between, O=Old), project commitment months, and workshop interest:
- Anshul (M, Mgr, Y): Jan, Mar | CS, EG
- Bushkant (M, Dir, I): Feb, Mar | BO, EG
- Charu (F, Mgr, I): Jan, Feb | BO, CS
- Dinesh (M, Exe, O): Jan, Apr | BO, CS, EG
- Eashwaran (M, Dir, O): Feb, Apr | BO
- Fatima (F, Mgr, Y): Jan, Mar | BO, CS
- Gayatri (F, Exe, Y): Feb, Mar | EG
- Hari (M, Mgr, I): Feb, Mar | BO, CS, EG
- Indira (F, Dir, O): Feb, Apr | BO, EG
- John (M, Dir, Y): Jan, Mar | BO
- Kalindi (F, Exe, I): Jan, Apr | BO, CS, EG
- Lavanya (F, Mgr, O): Feb, Apr | CS, EG
- Mandeep (M, Mgr, O): Mar, Apr | BO, EG
- Nandlal (M, Dir, I): Jan, Feb | BO, EG
- Parul (F, Exe, Y): Feb, Apr | CS, EG
- Rahul (M, Mgr, Y): Mar, Apr | CS, EG
- Sunita (F, Dir, Y): Jan, Feb | BO, EG
- Urvashi (F, Exe, I): Feb, Mar | EG
- Yamini (F, Mgr, O): Mar, Apr | CS, EG
- Zeena (F, Exe, Y): Jan, Mar | BO, CS, EG
Rules:
- Each workshop sends exactly 4 employees (at least 2 Females, at least 1 Young).
- Cannot attend if committed to projects in: Jan (for CS), Feb (for BO), Mar (for EG).
Question 1 of 3
Assuming that Parul and Hari are attending the workshop on Communication Skills (CS), then which of the following employees can possibly attend the CS workshop?
- A.
Rahul and Yamini
- B.
Dinesh and Lavanya
- C.
Anshul and Yamini
- D.
Fatima and Zeena
A
Explanation
For CS workshop, employees committed in Jan are ineligible (eliminates Dinesh, Anshul, Fatima, Zeena). Eligible candidates for CS interested in CS: Parul (F, Y), Hari (M, I), Lavanya (F, O), Rahul (M, Y), Yamini (F, O). Pairing Parul and Hari leaves Rahul and Yamini as valid eligible attendees.
Question 2 of 3
How many Executives (Exe) cannot attend more than one workshop?
- A.
2
- B.
3
- C.
15
- D.
4
B
Explanation
The Executives are Dinesh, Gayatri, Kalindi, Parul, Urvashi, Zeena. Checking eligibility:
- Gayatri (EG, but committed in Mar) -> 0 workshops
- Urvashi (EG, committed in Mar) -> 0 workshops
- Zeena (committed in Jan, Mar; BO in Feb) -> 0 workshops These 3 executives cannot attend more than one workshop.
Question 3 of 3
Which set of employees cannot attend any of the workshops?
- A.
Anshul, Charu, Eashwaran and Lavanya
- B.
Anshul, Bushkant, Gayatri, and Urvashi
- C.
Charu, Urvashi, Bushkant and Mandeep
- D.
Anshul, Gayatri, Eashwaran and Mandeep
B
Explanation
Testing option 2:
- Anshul (CS in Jan - No; EG in Mar - No) -> 0
- Bushkant (BO in Feb - No; EG in Mar - No) -> 0
- Gayatri (EG in Mar - No) -> 0
- Urvashi (EG in Mar - No) -> 0 All four in option 2 cannot attend any workshop.
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