Question Details

Read the details provided below carefully and answer the following question.

A certain number of persons sit in a row facing north. E is the only neighbor of Q. Five persons sit between E and T. K sits immediately to the right of T. B sits second to the right of K. Two persons sit between K and Y. The number of persons sitting between E and H is twice the number of persons sitting between B and Y. The number of persons sitting to the right of Y is four less than the number of persons sitting to the left of Y. More than twelve persons sit in the row.

Choose the correct answer from the given options.

How many persons sit between T and Y?

Options

A

Five

B

Two

C

Six

D

Four

E

Three

Show Answer

Correct Answer :

Option E

Three

Solution :

Correct Answer: Three

Let us determine the linear arrangement step-by-step based on the given information:

1. Position of Q and E:
"E is the only neighbor of Q." This implies Q must be sitting at one of the extreme ends of the row because a person with only one neighbor has to be at an end position. Let us place Q at the extreme left end (Position 1). Thus, E sits immediately next to Q at Position 2.

2. Positions of T, K, and B:
"Five persons sit between E and T."
Since E is at Position 2, placing 5 persons between E and T puts T at Position 8.
"K sits immediately to the right of T." Thus, K sits at Position 9.
"B sits second to the right of K." Thus, B sits at Position 11 (leaving Position 10 between K and B).

3. Position of Y:
"Two persons sit between K and Y."
Since K is at Position 9, placing Y two positions away to the right puts Y at Position 12 (with Positions 10 and 11 lying between K and Y).

4. Verifying the total number of persons:
With Y at Position 12, there are 11 persons sitting to the left of Y.
"The number of persons sitting to the right of Y is four less than the number of persons sitting to the left of Y."
Number of persons to the right of Y = 11-4=7.
Total persons in the row = 11+1+7=19, which satisfies the condition that more than 12 persons sit in the row.

5. Position of H:
The number of persons between B (Position 11) and Y (Position 12) is 0.
"The number of persons sitting between E and H is twice the number of persons sitting between B and Y."
Number of persons between E and H = 2×0=0.
So, H sits immediately next to E at Position 3.

Conclusion:
T is at Position 8 and Y is at Position 12. The persons sitting between T and Y are at Positions 9 (K), 10, and 11 (B). Therefore, exactly 3 persons sit between T and Y.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...