Math Problem Statement

Terdapat delapan kursi tersusun melingkar yang akan ditempati enam siswa dan dua guru. Kursi khusus guru berwarna kuning dan saling berhadapan. Josh duduk di antara Monalisa dan Nabil. Lintang dan Okta duduk bersebelahan. Okta duduk berhadapan dengan Josh. Jika Lintang duduk berhadapan dengan Monalisa, maka pernyataan yang benar adalah...

Solution

Let's analyze the problem based on the given statements:

  1. There are eight seats arranged in a circle for six students and two teachers.
  2. The teachers' seats are yellow and they face each other.
  3. Josh is seated between Monalisa and Nabil.
  4. Lintang and Okta are seated next to each other.
  5. Okta is seated opposite Josh.

The question is: If Lintang is seated opposite Monalisa, which statement is correct?

Analysis:

  • Since there are eight seats, let's assign numbers to the seats as 1 to 8 in a circular arrangement.
  • If Okta is opposite Josh, and Lintang and Okta are seated next to each other, Lintang must be next to Josh.
  • If Lintang is opposite Monalisa, and Josh is between Monalisa and Nabil, we can deduce the following positions:
    • If Monalisa is in seat 1, Lintang will be in seat 5.
    • Josh, who is between Monalisa and Nabil, can be in seat 2 or 8.

Considering all the given options, the only consistent arrangement is that Khaitami is opposite Nabil, which is option (C).

Correct Answer:

C) Khaitami duduk di hadapan Nabil

Would you like to know more details or have any other questions?

Related Questions:

  1. How many possible arrangements are there with the given conditions?
  2. What are the positions of all individuals based on the arrangement found?
  3. Can you solve similar problems with different seating arrangements?
  4. How do circular arrangements change the possibilities compared to linear arrangements?
  5. What strategies can be used to solve seating arrangement puzzles efficiently?

Tip: When solving seating arrangement problems, try using visualization or diagrams to map out positions and relationships effectively.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Spatial Reasoning
Seating Arrangements
Logical Deduction

Formulas

-

Theorems

-

Suitable Grade Level

Grades 9-12