Algebra Actual Questions in CMAT 2024 Slot – 1

(B)

=A) a/b < 0

If abc> 0, then either all three numbers are positive or one of them is negative while the other two are positive.

If a and b are both positive, is also positive. So, statement A is not necessarily true

B) (ab)/c > 0

Given abc> 0, this means a, b, and c are all either positive or negative. In either case, ab will be positive, as the product of two positive or two negative numbers divided by a positive number is positive. So, statement B is true.

C) bc< 0

Since abc> 0, this implies that a, b, and e must have the same sign, either all positive or all negative. In either case, be will not he negative. So, statement C is not necessarily

true.

D) a >bc

If abc> 0, then a, b, and e must have the same sign. If they are all positive, then a bc is possible. However, if they are all negative, then a could be smaller than be. So, statement D is not necessarily true.

Therefore, the only statement that must be true is(ab)/c > 0

(A)

=Products of the roots of quadratic equation = c/a

In this case, product = 1 [ Roots are reciprocal of each other]

1 = r / p

p=r