v, w, x and y are positive even integers. When v is divided by 8, the

Question

v and x are positive even integers. When v is divided by 8, the remainder is w, and when x is divided by 11, the remainder is y. What is the greatest possible value of w + y?

(A) 15
(B) 16
(C) 17
(D) 18
(E) 19

Archit3110 · Accepted Answer

given that v & x are +ve even integers so max value remainders of of v can be 6 and that of x 10
so w+y which are the remainders 16 
option B

BrentGMATPrepNow · Answer

When v is divided by 8, the remainder is w  
Here, 6 is the greatest possible value of w. 
For example, when v = 14, we get: 14 divided by 8 equals 1 with remainder  6

When x is divided by 11, the remainder is y  
Here, 10 is the greatest possible value of y. 
For example, when x = 32, we get: 32 divided by 11 equals 2 with remainder  10

So, the maximum value of w + y =  6  +  10  =   16

Answer: B

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007mva · Answer

If we think about the simple divisiblity concept that if x>y and then remainder of y/x is just y. So in this case we can use this concept. Largest possible even number from a division to 8 would be 6. And same reasoning will give you 10 for dividing with 11.

10+6=16

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10+6=16

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MS61 · Answer

If v & w are Even Numbers , 
We can write as 2V=8I+W ,
Else V=4I+(W/2)

That means W is also Even because Remainder is divisible by 2
Same applicable for 2nd Equation.

Therefore , Even remainder + Even Remiander = Even 
Hence in the option only even number is 16.

saloni14 · Answer

Shouldn't the answer be C (17)?

If we divide a number by 8, it will leave a remainder between 0 to 7.
Same goes for 11, it will leave a remainder between 0 to 10.

So, 7+10 = 17 (C)

Correct me if I am wrong.

ThatDudeKnows · Answer

saloni14 The question stem begins with "v and x are positive even integers. Which even number can you divide by 8 and be left with a remainder of 7?

saloni14 · Answer

Ohh yes, My bad! completely forgot about the even integer condition. Thank you!

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ThatDudeKnows · Answer

This may or may not apply to you, but "Ohh yes, My bad!" is a realllllllly common mistake that many students make in their studying. As you review questions that you missed, it's important to pay attention to WHY you missed them. If this was truly a one-off, fine, let it go. If you notice that you have a tendency to slap your forehead and say "silly me," that's a signal to tweak your approach. Set restrictions are one of the ways that test-writers get us to miss questions. It's intentional. And they're good at it. So we need to watch for it. My technique is to flip my computer mouse over any time I spot a trap (I include set restrictions in the category of traps). That way, when I go to click my answer, the upside-down mouse reminds me to make sure I didn't fall into the trap and choose an illegal number.

Several of the other questions posted by  BrentGMATPrepNow  are designed with this trap or other clever traps, so if you are a serial "silly me"-er, it may be good to hit up his other questions to make sure you aren't missing questions on which you know the math cold but walk into wrong answers.

GmatPoint · Answer

Since v and x are positive even integers, when v is divided by 8, the remainder ‘w’ would be an even number.
Also, as we have to maximize the value of w, the maximum possible remainder will be 6.

Now, when x is divided by 11, the remainder ‘y’ can be either an even number or an odd number.
The maximum possible value of y will be 10.

Thus, the greatest possible value of w + y = 10 + 6 = 16.

Thus, the correct option is B.

Purnank · Answer

Key here was to read text properly "v and x are positive  EVEN  integers."

W= 6 and Y= 10 max possible Hence W+Y= 16.

v, w, x and y are positive even integers. When v is divided by 8, the

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v, w, x and y are positive even integers. When v is divided by 8, the

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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