If the numbers l and m are both greater than 0, is l/m an integer?

Question

(1) l and m are both integers.

(2) l^2 and m^2 are both integers.

ENGRTOMBA2018 · Answer

l,m >0 , is l/m = integer ?

Per statement 2, l^2 and m^2 are both integers --> 2 cases, l=m= \sqrt{2} , give you an integer for l/m but if l=1, m =2, then l/m is not integer. Not sufficient.

Per statement 1, l,m are integers. l=1,m=2, l/m is not an integer but l=2, m = 1, 2/1 is an integer. Not sufficient.

Combining, possible cases are the ones already covered by statement 1 and as such E is the correct answer as you get 2 different answers.

gmatlbs · Answer

E.

Relation between l and m is needed to answer ...

nipunjain14 · Answer

E
NO relation between l and M specified in either of the statements

MathRevolution · Answer

Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If the numbers l and m are both greater than 0, is l/m an integer?

(1) l and m are both integers.

(2) l^2 and m^2 are both integers.

-> When you look at the original condition, there are 2 variables(l, m), which should match with the number of equations. Therefore, 2 equations are needed. For 1) 1 equation, for 2) 2 equation, which likely to make C the answer. In 1) & 2), 
l=m=1 -> yes, and l=2, m=3 -> no. Therefore, it is not sufficient and the answer is E.

*For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.

If the numbers l and m are both greater than 0, is l/m an integer?

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GMAT Data Sufficiency (DS) Questions

If the numbers l and m are both greater than 0, is l/m an integer?

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