For which of the following values of s is (50+s)s an integer?

Question

For which of the following values of s is (50+s)/s an integer?

A. 3
B. 4
C. 9
D. 11
E. 50

BrentGMATPrepNow · Accepted Answer

Let's apply a useful property of fractions that is OFTEN useful on the GMAT:    \frac{(a + b)}{c} = \frac{a}{c} + \frac{b}{c}

When we apply the rule, we get:  \frac{50+s}{s} = \frac{50}{s} + \frac{s}{s }

= \frac{50}{s} + 1

In order for  \frac{50}{s} + 1  to be an integer,   50 must be divisible by s

Answer: E

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Mo2men · Answer

Testing all answers

(50+50)/50= 2

Answer: E

TeamGMATIFY · Answer

This problem has to be solved by checking the options

(50 + s)/s
For this entity to be an integer, 50 + s should be divisible by s

Option A: 53/3 - Not an Integer
Option B: 54/4 - Not an Integer
Option C: 59/9 - Not an integer
Option D: 61/11 - Not an integer
Option E - 100/50 - Integer

Correct Option: E

stonecold · Answer

The only way to solve this efficiently is to check for the options.
Also having done this => is there any divisibility rule for 11 that i am unaware about?

abhimahna · Answer

yes, the best way to solve this question is to check for options.

Divisbility Rule of 11 :  
The sum of the even digits is subtracted from the sum of the odd digits. The result is either 0 or divisible by 11.

Example :

i) 292215 
By rule, (9+2+5) - (2+2+1) = 11

ii) 760672 
By rule, (6+6+2) - (7+0+7) = 0

Both the numbers can be divided by 11.

stonecold · Answer

Try this one and lemme know the solution

in-a-certain-pond-50-fish-were-caught-tagged-and-returned-165831.html#p1716513

Nunuboy1994 · Answer

We can simply break this expression up

50/ s +1 = some integer

Therefore

50/s must be an integer

Thus
 "E"

ydmuley · Answer

Ultimately we want to check if 50/s + 1 is an integer and that is only possible with option E, when s = 50.

Hence, Answer is E

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gupta335 · Answer

For which of the following values of s is (50+s)/s an integer?
 
only 50 satisfies the equation
(50+50)/50=2

Therefore, E

hasnain3047 · Answer

bu plugging in all the options we came to know that only s=50 results in an integer.

ZahidPavel · Answer

For which of the following values of s is (50+s)/s an integer?

A. 3
B. 4
C. 9
D. 11
E. 50

Testing the numbers: only 50 gives an integer.

(50+50)/50=50

Answer: E

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For which of the following values of s is (50+s)s an integer?

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For which of the following values of s is (50+s)s an integer?

Prep Toolkit

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