Question
Which of the following is true for
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 x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.
If p = 33 - q - r and pq + r(q + p) = 260, then find the value of (p² + q² + r²).
If x + 1/x = 5 then find out the value of x⁵ + 1/(x⁵)?
If (a + b) = 9 and ab = 14, find the value of (a² + b²).

Find the value of 3/4 cot² 30° + cos² 30°-3cosec²60° + tan² 60°.
If 8x3 - 125y3 = (2x - Ay) X (Bx2 + 25y2 + Cxy), then find the value of 3 X (2A + 6B) - 2C.
If (a + b) = 9 and (a2 + b2) = 53, then find the value of (a × b).
- Find the value of the expression {(4096) n /4 × 8 3n + 1 }/{(512) n × 8 n – 1 }.