Reasoning: Puzzles and Arrangements for upcoming Exams – Set 111

Directions (1-5): Study the following information carefully to answer the given questions:

Certain number of persons are standing in a row facing north. Each person has a box which are kept above one another. Each box is of different colour i.e. red, black, white, blue, brown, yellow, pink and green but not necessarily in the same order. Only three people sit between A and B. H has box of pink colour and is kept at the bottom of the stack. Only four people sit between B and C. D sits third to the right of E. Only six people sit between B and F. Not more than three people sit between C and F. More than four people are between D and F. G sits third to the right of F. Only three boxes are kept between box of D and box of G. Box of G is placed above box of D. None of them sits between G and E. H sits eight to the left of C. The box of green colour is kept immediately above box of G. Not more than three persons sit between A and H. Only three boxes are kept between the box of blue colour and the box of red colour. The black box is immediately above the yellow box. Only one box is kept between the box of green colour and box of A. Box of E is of green colour. Only one box is kept between box of B and the box of brown colour. Box of G is not of black colour. Box of F is kept immediately below the box of brown colour. The box of blue colour is kept immediately above box of E.

1. How many persons sit in the row?
   Sixteen
   Seventeen
   Eighteen
   Nineteen
   Twenty
   Option D
   1. G sits third to the right of F. None of them sits between G and E. D sits third to the right of E. More than four people are between D and F.
   2. Only six people sit between B and F. Only four people sit between B and C. Not more than three people sit between C and F. H sits eight to the left of C.
   
   3. Only three people sit between A and B. Not more than three persons sit between A and H.
   
   4. H has box of pink colour and is kept at the bottom of the stack. Only three boxes are kept between box of D and box of G. Box of G is placed above box of D. The box of green colour is kept immediately above box of G.
   
   5. Only one box is kept between the box of green colour and box of A. Box of E is of green colour.
   
   6. The box of blue colour is kept immediately above box of E. Only three boxes are kept between the box of blue colour and the box of red colour.
   This is not possible in case 2. So, case 1 is correct.
   
   7. The black box is immediately above the yellow box. Box of G is not of black colour. Box of F is kept immediately below the box of brown colour. Only one box is kept between box of B and the box of brown colour.
   
   Hence, 19 persons sit in the row.

    

2. Box of C is of which colour?
   White
   Red
   Blue
   Yellow
   Pink
   Option C
   Hence, box of C is of blue colour.

    

3. How many persons sit between C and D?
   Six
   Seven
   Eight
   Nine
   Ten
   Option C
   Hence, eight persons sit between C and D.

    

4. How many boxes are there between box of white colour and box of D?
   One
   Two
   Three
   Four
   Five
   Option C
   Hence, three boxes are there between box of white colour and box of D.

    

5. Four of the following are like in a certain way and hence form a group. Which of the following does not belong to that group?
   A
   G
   H
   C
   B
   Option B
   Hence, except G all other are sitting to the left of F.

    

Directions (6-10): Read the following information carefully and answer the questions given below it:

There are certain number of persons sitting in a row and all were facing South and all are scored different marks in an exam among 20, 27, 33, 38, 40, 43, 45 and 50 but not necessarily in the same order. P is in the middle of the row. Q is fifth to the right of R. Two persons sit between S and T who is five places away from U. The sum of marks of V and T is equal to sum of marks scored by S and W. One among the four scored the highest marks and one among the four scored the lowest marks. V is third from one of the extreme ends but is not sitting between Q and R. V scored more marks than P but less than U. R is at one of the extreme end. W sits to the immediate left of V. Three people sit between T and P who is immediate right of U. Number of persons between T and P are same as number of persons between P and Q. The difference between the marks scored by S and Q is equal to the difference between the marks scored by T and R.

6. How many persons are sitting in the row?
   Fifteen
   Sixteen
   Seventeen
   Eighteen
   Nineteen
   Option E
   Solution:
   1. Three people sit between T and P who is immediate right of U. Number of persons between T and P are same as number of persons between P and Q.
   
   2. Two persons sit between S and T who is five places away from U. Q is fifth to the right of R. R is at one of the extreme end.
   This is not possible in case 2. So, case 1 is correct.
   
   3. P is in the middle of the row. V is third from one of the extreme ends but is not sitting between Q and R. Two persons sit between S and T who is five places away from U. W sits to the immediate left of V.
   
   4. The sum of marks of V and T is equal to sum of marks scored by S and W. One among the four scored the highest marks and one among the four scored the lowest marks. V scored more marks than P but less than U.
   Hence, V does not scored the highest marks. If we assume marks of V be 20 and marks of T be 50 then it does not follow the condition of sum of marks of V and T is equal to sum of marks scored by S and W.
   Therefore sum of marks of S and W is 50 + 20 = 70. Sum of marks of V and T is 27 + 43 = 70.
   U > V > P. So, marks of V is 43, U is 45 and T is 27.

   5. The difference between the marks scored by S and Q is equal to the difference between the marks scored by T and R.
   S – Q = T – R
   Marks of T are 27.
   Hence, R scored can be 33, 38 and 40.
   Therefore, difference between scores of R and T can be 6, 11 and 13.
   Let marks of S be 20 then score of Q can be 33, 38 and 40.
   Therefore, difference between scores of S and Q can be 13, 18 and 20.
   Hence, marks of S is 20, W is 50, Q is 33 and R is 40.
   Marks of P is 38.
   
   Hence, 19 persons are sitting in the row.

    

7. What is the sum of marks of R and W?
   77
   90
   72
   73
   53
   Option B
   Hence, sum of marks of R and W are 90.

    

8. How many persons sit between T and R?
   Twelve
   Thirteen
   Fourteen
   Fifteen
   Sixteen
   Option A
   Hence, twelve persons sit between T and R.

    

9. Who among the following scored the highest marks?
   V
   W
   U
   R
   S
   Option B
   Hence, W scored the highest marks.

    

10. What is the difference between the marks of T and R?
    18
    7
    13
    5
    None of these
    Option C
    Hence, difference between marks of T and R is 13.