If m, j, and k are integers, is k

Question

If m, j, and k are integers, is k < mj?

(1) kmj = 1
(2) mj is positive.

Kurtosis · Answer

k, m and j are integers. Is k - mj < 0?

St1: kmj = 1 
If k = 1, mj = 1, k - mj = 0
If k = -1, mj = -1, k - mj = 0
Sufficient.

St2: Clearly insufficient as no info is given about k.

Answer: A

JeffTargetTestPrep · Answer

We are given that m, j, and k are integers, and we need to determine whether k < mj.

Statement One Alone:

kmj = 1

For the product of three integers to be 1, EITHER all three integers are 1 OR one of them is 1 and the other two are -1. There are 4 cases we need to consider:

1) k = 1, m = 1, j = 1

2) k = 1, m = -1, j = -1

3) k = -1, m = 1, j = -1

4) k = -1, m = -1, j = 1

Let’s check for each case whether k < mj.

1) 1 < (1)(1) ? → 1 < 1 ? → No

2) 1 < (-1)(-1) ? → 1 < 1 ? → No

3) -1 < (1)(-1) ? → -1 < -1 ? → No

4) -1 < (-1)(1) ? → -1 < -1 ? → No

Since the answer in all 4 cases is “No,” statement one alone is sufficient to answer the question.

Statement Two Alone:

mj is positive.

Knowing only that the product of m and j is positive is not enough information to determine whether k < mj.

Answer: A

If m, j, and k are integers, is k < mj?

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