Aptitude Questions and Answers for PLACEMENTS

Ques. The equations 2x+3y-7=0 and 10x+15y-35=0 are:
Op 1: Consistent and have unique solution
Op 2: Consistent and have infinitely many solutions
Op 3: inconsistent
Op 4: none of these
Op 5:
Correct Op : 2
Ques. The solution of the simultaneous equations (1/2)x + (1/3)y = 2 and x+y=1 is:
Op 1: x = 0, y = 1
Op 2: x = 1, y = 0
Op 3: x = 2/3, y = 3/2
Op 4: x = 10, y = -9
Op 5:
Correct Op : 4

Ques. If the equation x2-2(k+1)x+(9/2)k=0 has two identical roots then the values of k are:
Op 1: k=1, 2
Op 2: k=2 or 1/2
Op 3: k=3, 1/2
Op 4: none of these
Op 5:
Correct Op : 2
Ques. The number which should be subtracted from 5a2-3ab+7b2 to make it equal to a2+ab+b2, is:
Op 1: 4a2-4ab+6b2
Op 2: 4a2-4ab+5b2
Op 3: 4a2+4ab+6b2
Op 4: 4a2-3ab+6b2
Op 5: None of these
Correct Op : 1