Question
Who sits opposite to
F? Study the following information carefully and answer the given Questions: Three teachers and five students A,B,C,D,E,F,G and H are sitting around a square table facing the centre such that four people sit at four corners and rest of them sit between them. They study / teach three subjects, i.e., Maths, Computers and Accounts. Students sit adjacent to their respective teachers. Each teacher and student studies/ teaches only one subject. (i) H, who is a student, sits at one of the corners. He does not study Computers. (ii) D, a teacher sits opposite to H and teaches Maths to students sitting adjacent to him. (iii) Only one student studies Computers, and is sitting third to the right of the person who teaches Maths. (iv) A is not a teacher and sits at one of the corners. (v) C sits to the immediate left of F. F is not a student. (vi) E sits opposite to C. B does not study Maths.Solution
From (i) and (ii), if H sits at place no. 5, then D sits at place 1. Also people sitting adjacent to him at place 2 and 8 are students and learn maths. Since H does not study computers and maths, therefore he learns accounts.
From (iii), it is clear that the person sitting at place 4 is a student and studies computers. The one sitting at place 3 is a teacher who teaches computers. Also, person sitting at place 6 and 7 will be teacher and student respectively studying accounts.
From (iv), A will sit at place no 7. From (v), it is clear that since F is not a student, F sits at either place 3 or 6. C sits immediate left of F, hence, F sits at place no. 3 and C sits at place no. 2.
From (vi), E sits at place no. 6. Since B does not study maths, he studies computers and sits at place no. 4. G sits at place no. 8.
Now we can answer all the questions with the help of the above arrangement:
If the sum of x , y , and z is 9, and the sum of their squares is 18, then determine the value of the expression xy + yz + zx .
Product of two consecutive positive even numbers is 120. Find the sum of the digits of the two numbers.Â
Find the remainder when the number (196n + 75) is divided by 14.
If 6 is to 216 as 2 is to:
What least number should be subtracted from 5612 to make it exactly divisible by 25?
- The sum of two numbers is 80 whereas the sum of their reciprocals is (22/11). Find the square of the product of the two numbers.
Find the smallest 3‑digit number which is exactly divisible by both 12 and 15.
The sum of three consecutive odd natural numbers each divisible by 3 is 81. Which number is the largest number among the three numbers?
What is the highest possible sum of (m + n) if the number '9m813n2' is divisible by 12?
Determine the highest possible value of (x + y) if the number '3x725y4' is divisible by 12.