Read the given information carefully and answer the given questions:
Eight persons P, Q, R, S, T, U, V and W - work on different designation in an organization. The designations are Clerk, PO, SMO, Manager, DG, GM, AGM, DGM (designations are given in increasing order of seniority from clerk to PO respectively). They also like different colors – Red, Blue, Green, Yellow, Orange, White, Pink, Silver. The information of persons and colors is not used in the same order as given. At most two persons are junior to T. Two persons are in between T and the one who likes blue color. Q is three posts senior to the one who likes blue color. Four persons are in between Q and the one who likes orange color. R is junior to DG but does not like blue and red color. P is just junior to R but senior to the one who likes green color. Number of persons junior to P is same as the number of persons senior to the one who likes white color. V is not DGM but V is senior to the one who likes white color. The one who likes silver color is three post junior to U. S is just junior to the one who likes yellow color.
Which of the following statement is correct?
I. R is not junior to W
II. S is junior to GM
III. W does not like green color
Correct Answer :
Only I
Solution :
The correct answer is Only I.
Let us solve the puzzle step-by-step to find the correct designation and color for each person.
First, we write down the designations in increasing order of seniority from junior-most to senior-most:
1. Clerk (Junior-most)
2. PO
3. SMO
4. Manager
5. DG
6. GM
7. AGM
8. DGM (Senior-most)
Now, let's analyze the given conditions to determine the positions:
- "At most two persons are junior to T." This means T can be Clerk, PO, or SMO.
- "Two persons are in between T and the one who likes blue color."
- "Q is three posts senior to the one who likes blue color." This means: Q = (blue color post) + 3.
Let us test the possible positions for T, the blue color, and Q:
- Case 1: If T is Clerk (1st post):
The person who likes blue color must be 4th post (Manager) because there are two persons between Clerk (1st) and Manager (4th).
Then Q is three posts senior to blue, so Q must be 4th + 3 = 7th post (AGM).
- Case 2: If T is PO (2nd post):
The person who likes blue color must be 5th post (DG).
Then Q must be 5th + 3 = 8th post (DGM).
- Case 3: If T is SMO (3rd post):
The person who likes blue color must be 6th post (GM).
Then Q must be 6th + 3 = 9th post, which is not possible since there are only 8 posts.
Thus, we have two possible cases:
Case 1: T is Clerk (1), Blue is Manager (4), Q is AGM (7).
Case 2: T is PO (2), Blue is DG (5), Q is DGM (8).
Next, let's look at: "Four persons are in between Q and the one who likes orange color."
- In Case 1 (Q is 7th): The person who likes orange color must be 2nd post (PO), since there are 4 persons (3rd, 4th, 5th, 6th) between 7th and 2nd.
- In Case 2 (Q is 8th): The person who likes orange color must be 3rd post (SMO), since there are 4 persons (4th, 5th, 6th, 7th) between 8th and 3rd.
Now let's use: "R is junior to DG but does not like blue and red color."
DG is the 5th post, so R must be in post 1, 2, 3, or 4.
- "P is just junior to R but senior to the one who likes green color."
Since P is just junior to R, they must occupy consecutive posts (R directly above P). Also, since P is senior to the green color, there must be at least one person junior to P, meaning P cannot be Clerk (1st).
Let us analyze R and P in both cases:
In Case 2:
T is 2nd (PO).
Since R is junior to DG (5th), R can be 4th, 3rd, 2nd, or 1st.
But T is 2nd, so R and P (who are consecutive) must be either (R=4th, P=3rd) or (R=3rd, P=not possible since 2nd is T). So R must be 4th (Manager) and P must be 3rd (SMO).
Wait, if R is 4th, then R likes blue? No, in Case 2, blue is 5th. So R can be 4th.
Let's check the next condition: "Number of persons junior to P is same as the number of persons senior to the one who likes white color."
If P is 3rd (SMO), then there are 2 persons junior to P (Clerk, PO).
Therefore, there must be 2 persons senior to White, which means White must be 6th post (GM).
Let's check: "V is not DGM but V is senior to the one who likes white color."
If White is 6th (GM), then V must be senior to White, so V must be 7th (AGM) or 8th (DGM). Since V is not DGM, V must be 7th (AGM).
Let's check: "The one who likes silver color is three post junior to U."
This means U = (silver post) + 3. Let's see the available positions for U and Silver.
Remaining posts to place persons in Case 2 (with T=2, R=4, P=3, Q=8, V=7):
The persons placed so far: Q (8), V (7), R (4), P (3), T (2).
Remaining persons to place: U, S, W.
Remaining empty posts for these persons: 6th (GM), 5th (DG), 1st (Clerk).
Since U must be 3 posts senior to Silver:
If Silver is 1st (Clerk): U must be 4th (Manager). But R is Manager.
If Silver is 2nd (PO): U must be 5th (DG). This is possible.
If Silver is 3rd (SMO): U must be 6th (GM). But P is 3rd.
So Silver must be 2nd (PO, which is T) and U must be 5th (DG).
Let's check: "S is just junior to the one who likes yellow color."
The remaining empty posts for persons are 6th (GM) and 1st (Clerk). So S must be either 6th or 1st.
If S is 1st (Clerk), then the person who is just senior to S (which is T, 2nd) must like yellow. But T (2nd) likes Silver. This is a contradiction.
If S is 6th (GM), then the person who is just senior to S (V, 7th) must like yellow. This is possible.
Let's check: W must be the remaining person, which is 1st (Clerk).
Let's review the colors placed so far in Case 2:
1. W (Clerk) - color?
2. T (PO) - Silver
3. P (SMO) - Orange (since in Case 2, Orange is 3rd)
4. R (Manager) - color? (does not like red, and blue is 5th)
5. U (DG) - Blue
6. S (GM) - White (since White is 6th)
7. V (AGM) - Yellow (since S is just junior to Yellow, and V is 7th)
8. Q (DGM) - color?
Now we need to check: "P is senior to the one who likes green color."
Since P is 3rd, the person junior to P who likes green must be either 2nd (T, likes Silver) or 1st (W, Clerk).
So W (1st) must like Green.
Now let's find the colors of R (4th) and Q (8th):
The colors remaining are Red and Pink.
Since R does not like Red, R must like Pink.
Then Q must like Red.
Let's double-check all conditions for this complete arrangement:
- 8. Q - DGM - Red
- 7. V - AGM - Yellow
- 6. S - GM - White
- 5. U - DG - Blue
- 4. R - Manager - Pink
- 3. P - SMO - Orange
- 2. T - PO - Silver
- 1. W - Clerk - Green
Let's verify:
- At most two persons are junior to T (T is 2nd, so only W is junior to T - Condition satisfied).
- Two persons are in between T (2nd) and Blue (U, 5th) (3rd and 4th are between them - Condition satisfied).
- Q (8th) is three posts senior to Blue (5th) (8 - 5 = 3 - Condition satisfied).
- Four persons are in between Q (8th) and Orange (P, 3rd) (4th, 5th, 6th, and 7th are between them - Condition satisfied).
- R (4th) is junior to DG (5th) and does not like blue/red (likes Pink - Condition satisfied).
- P (3rd) is just junior to R (4th) and senior to Green (W, 1st - Condition satisfied).
- Number of persons junior to P (3rd) is 2 (T, W) and senior to White (S, 6th) is 2 (V, Q) (2 = 2 - Condition satisfied).
- V (7th) is not DGM (8th) and is senior to White (6th - Condition satisfied).
- Silver (T, 2nd) is three posts junior to U (5th) (5 - 2 = 3 - Condition satisfied).
- S (6th) is just junior to Yellow (V, 7th - Condition satisfied).
The arrangement is completely consistent and correct.
Now we evaluate the statements:
- I. R is not junior to W: R is Manager (4th) and W is Clerk (1st). Since R is senior to W, R is indeed not junior to W. This statement is correct.
- II. S is junior to GM: S is GM (6th). Since S is GM, S is not junior to GM. This statement is incorrect.
- III. W does not like green color: W likes green color. This statement is incorrect.
Thus, only statement I is correct.
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