Direction: Read the given information carefully and answer the questions asked below.
A company has decided to give one extra leave to their ten employees – J, K, L, M, N, O, P, Q, R and S. Two dates of each month have been fixed for extra leave i.e. 10th and 15th and only one person can take leave on any one day of a month. Five different months are – April, May, June, July and August.
Only two leaves will be left after M’s leave. More than four people will take leave between M and S.Q will take leave on any day after M. J, P and M will take leave on the same date. P will take leave after J but before M. J and S will not take leave in a same month. L will take leave before J but not in May.Maximum two people will take leave between L and R. Three people will take leave between K and P. N will take leave after O but neither of them will take leave in June.
Who will take leave in the last?
- AOption (a)
K
- BOption (b)
P
- COption (c)
R
- DOption (d)
M
- EOption (e)
Q
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Correct answer
K
Why this answer is correct
Ten Employees: J, K, L, M, N, O, P, Q, R and S.
5 Months: April, May, June, July and August.
Two dates: 10th and 15th.
- Only two leaves will be left after M’s leave.
So, M will take leave on 15th July.
- More than four people will take leave between M and S.
So, possible number of people will be 5 or 6.
Case 1
| Months | Employee |
|---|---|
| 10th April | |
| 15th April | S |
| 10th May | |
| 15th May | |
| 10th June | |
| 15th June | |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August |
Case 2
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | |
| 10th May | |
| 15th May | |
| 10th June | |
| 15th June | |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August |
-
Q will take leave on any day after M.
-
J, P and M will take leave on the same date.
-
P will take leave after J but before M.
-
J and S will not take leave in a same month.
Case 1(a)
| Months | Employee |
|---|---|
| 10th April | |
| 15th April | S |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August |
Case 1(b)
| Months | Employee |
|---|---|
| 10th April | |
| 15th April | S |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August | Q |
Case 2(a)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August |
Case 2(b)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August | Q |
- L will take leave before J but not in May.
Case 1(a)
| Months | Employee |
|---|---|
| 10th April | L |
| 15th April | S |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August |
Case 1(b)
| Months | Employee |
|---|---|
| 10th April | L |
| 15th April | S |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August | Q |
Case 2(a)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | L |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August |
Case 2(b)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | L |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | |
| 15th August | Q |
- Maximum two people will take leave between L and R.
So, possible number of people between L and R are 0, 1 and 2.
We will use this condition in the end.
- Three people will take leave between K and P.
This condition doesn’t satisfy in case 1(b) and case 2(b). So, these cases get eliminated.
Case 1(a)
| Months | Employee |
|---|---|
| 10th April | L |
| 15th April | S |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August | K |
Case 2(a)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | L |
| 10th May | |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | |
| 15th July | M |
| 10th August | Q |
| 15th August | K |
- N will take leave after O but neither of them will take leave in June.
Case 1(a)
| Months | Employee |
|---|---|
| 10th April | L |
| 15th April | S |
| 10th May | O |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | N |
| 15th July | M |
| 10th August | Q |
| 15th August | K |
Case 2(a)
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | L |
| 10th May | O |
| 15th May | J |
| 10th June | |
| 15th June | P |
| 10th July | N |
| 15th July | M |
| 10th August | Q |
| 15th August | K |
Now, as per condition number 8, case 1(a) gets eliminated. Thus, we have the final arrangement as follows:
| Months | Employee |
|---|---|
| 10th April | S |
| 15th April | L |
| 10th May | O |
| 15th May | J |
| 10th June | R |
| 15th June | P |
| 10th July | N |
| 15th July | M |
| 10th August | Q |
| 15th August | K |
Hence, K will take leave in the last.