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meenakshi

· started a discussion

· 1 Months ago

how did you infer that g is extreme end for sure

Question:

DIRECTIONS: Study the following information carefully to answer the given questions.


8 persons S, R, H, I, T, G, Q and F are sitting in a line, some are facing North some are facing South. All have different ages 14, 16, 17, 19, 23, 26, 28 and 31, but not in the same order. Not more than two persons are facing the same direction. S is second from any of the extreme ends. R is sitting third to the left from S. One of the immediate neighbors of R facing south. H do not sit at any of the extreme ends of the line. Immediate neighbors of I face north. Immediate neighbors of H faces south. F is third to the right of T.

Q is sitting immediate left of G. R is an immediate neighbor of I. H faces North. F sits immediate right of S. Immediate neighbors of S face opposite directions (i.e. if one neighbor faces North then the other neighbor faces south and Vice-Versa). The difference between the ages of the persons F–H, S–T, R–Q is less than 3. The difference between the ages of the persons S–H, F–T, R–I and Q–G is same. The age of R is exactly divisible by 13. H is the youngest.

How many persons sit between H and G?

Options:
A)

Three

B)

Two

C)

Four

D)

Five

E)

No one

Solution:

Ans: (c) S is second from any of the extreme ends. R is sitting third to the left from S. Thus two possibilities are there- 

  

        Or 

  

F sits immediate right of S. F is third to the right of T.R is an immediate neighbor of I. Immediate neighbors of I face North Thus R faces North. 

Q is sitting immediate left of G thus G definitely sits extreme end of the line.  

  

                              Or 

  

H do not sit at any of the extreme ends of the line. H faces North. Immediate neighbors of H faces south.

Thus second possibility is correct. 

  

Immediate neighbors of S face opposite directions, thus F faces South. One of the immediate neighbors of R facing south thus I faces South.  

  

Different ages 14, 16, 17, 19, 23, 26, 28 and 31

The age of R is exactly divisible by 13, R = 26 and H is the youngest thus H = 14. The difference between the ages of the persons F – H, S – T, R – Q is less than 3.

Thus

F – H (16 – 14 = 2) F = 16, H = 14. 

S – T (19 – 17 = 2) S = 19/17 T = 17/19

R – Q = (26 – 28) R = 26, Q = 28

  

The difference between the ages of the persons S – H, F – T, R – I and Q – G is same.

For Q – G, Either Q – G = 28 – 31 = 3 or 28 – 23 = 5

For (F – T) either 19 – 16= 3 or 17 – 16 = 1

Difference of 3 is possible thus

S = 14, T = 19, I = 23, G = 31

Final arrangement- 

  

Knowledge Expert

· commented

· 1 Months ago

Dear student
There is no other possible arrangement of the given question.
After applying all the possible cases the place of G is confirmed.

Regards
Team TR

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