If m is a positive integer less than 200, what is the greatest prime f

Question

If m is a positive integer less than 200, what is the greatest prime factor of m?
1) 40 is a factor of m. 
2) 50 is a factor of m.

*An answer will be posted in 2 days.

chetan2u · Answer

Hi, NOTE - The answer given by each statement is DIFFERENT, which is not the case in actuals.. m<200.... 1) 40 is a factor of m. since 40 is a factor of m, ... In other words m is a multiple of 40.... since m is +ive, it cannot be 0... so the values of m are 40, 80, 120, 160 5 is the biggest PRIME... Also other way is 40 has biggest Prime as 5, and 200 < 40*5, so no bigger PRIME comes into play.. Suff 2) 70 is a factor of m. SAME as A.. 70 has biggest PRIME as 7... and 70 *7>200, so no other Prime >7 comes into play Suff D

BrentGMATPrepNow · Answer

I think this question is missing the mark. 
There's no such positive integer m that's less than 200 AND has both 40 and 70 as factors.

Cheers,
Brent

Bunuel · Answer

On the GMAT, two data sufficiency statements always provide TRUE information and these statements NEVER contradict each other or the stem.

The question tagged as poor quality.

MathRevolution · Answer

If we modify the original condition and the question, we get 2*3*5=30, 2*3*5*7=210. There is one variable (m), hence, we need 1 equation. Hence, there is high chance that D is the correct answer. 
In the case of the condition 1), from m=40(int)=(23)(5)(int), 5 is the greatest prime factor. This is because if we multiply 7, it becomes over 200. Hence, it is sufficient.
In the case of the condition 2), from m=50(int)=(2)(5)(7)(int), 7 is the greatest prime factor. This is because if we multiply 11, it becomes over 200. Hence, it is sufficient.
Therefore, the correct answer is D.

- 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.

adiagr · Answer

Statement 1  
40 is a factor of m, and m is less than 200
m = 160. 160 = 2^4 * 2*5 = 2^5 * 5. 
So the greatest prime factor is 5.

If we take 40, 80, 120 we will get 5 as the greatest prime factor of m.

So Sufficient.

Statement 2  
50 is a factor of m, and m is less than 200
m = 50, 100, 150.
 
Once again in each case greatest prime factor would be 5. 
So Sufficient.

Answer: D

Daanu · Answer

Analysing option 1:-

Prime factors of 40 - 2,5
Given- 40 is a factor of that number.
Hence the no could be- 40,80,120 and 160.

Greatest Prime factor in all these- 5.

1 is sufficient

Analysing option 2 :-

Same case as above..
Factors of 70- 70, 140

Greatest prime factor - 7

2 is sufficient..

Hence, Answer is D

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If m is a positive integer less than 200, what is the greatest prime f

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GMAT Data Sufficiency (DS) Questions

If m is a positive integer less than 200, what is the greatest prime f

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