291. The equation x –y =a is consistent for
z +w =b
y –w = c
x +z =d
292. Solve 2x +5y =24 using matrix inversion
3x +8y =38
293. Solve x +2y –z =3 using Cramer’s rule
3x +y +z =4
x –y +2z = 6
294. Solve 5x + 2y =3-x - 4y =3
295. In a class of 200 students, 70 played cricket, 60 played hockey and 80 played football. 30 played cricket and football, 30 played hockey and football, 40 played cricket and hockey. Find the maximum number of people playing all three games and also the minimum number of people playing at least one game.
296. Find the range for the relation : {(3, 5), (2, 5), (2, 6), (3, 7)
297. If R is a relation on a finite set having a elements , then the number of relations on A is
298. Let A ={1,2,3} and R= {(1,2), (1,1), (2,3)}be a relation on A.What minimum number of elements may be adjoined with the elements of R so that it becomes transitive.
299. Find the 5th term from the end of the G.P. 3, 6, 12, 24, …, 12,288
300. Write the modulus of 2+ √-3.