(1) a < 0satyavegi wrote:If a and b are integers, and |a| > |b|, is a · |b| < a - b?
(1) a < 0
(2) ab >= 0
OA E
Can someone explain this in detail ..i couldnt understand the explanation given in MGMAT
If a = -3 and b = -1, then a * |b| = (-3) * 1 = -3, a - b = -3 + 1 = -2. Here, a * |b| < a - b.
If a = -3 and b = 0, then a * |b| = (-3) * 0 = 0, a - b = -3. Here, a * |b| > a - b.
No definite answer; NOT sufficient.
(2) ab ≥ 0
We can take the same examples as in statement 1:
If a = -3 and b = -1, then a * |b| = (-3) * 1 = -3, a - b = -3 + 1 = -2. Here, a * |b| < a - b.
If a = -3 and b = 0, then a * |b| = (-3) * 0 = 0, a - b = -3. Here, a * |b| > a - b.
No definite answer; NOT sufficient.
Combining (1) and (2), again we can take the same examples as above, there is no additional info; NOT sufficient.
The correct answer is E.
