When p is divided by 9, the remainder is 4. All of the following are

Question

When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?

A. 13
B. 31
C. 49
D. 57
E. 67

arhumsid · Answer

(Answer_choice - 4) should NOT be divisible by 9.

Only 57 follows.

hence  D

Kurtosis · Answer

If a number is divisible by 9, the sum of its digits must be divisible by 9. --> If a number leaves a remainder 4 when divided by 9 the sum of its digits must be 4.

57 = 5 + 7 = 12--> 1 + 2 = 3

Answer: D

BrentGMATPrepNow · Answer

When it comes to remainders, we have a nice rule that says: If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc. So, if p is divided by 9, leaves a remainder 4, then the possible values of p are: 4, 4+9, 4+(2)(9), 4+(3)(9), ...etc In other words, the possible values of p are 4, 13, 22, 31, 40, 49, 58, 67... As you can see, 57 is not in the list. Answer: D Related Resource The following free video covers the concepts/strategies that are useful for answering this question: - Remainders: https://www.gmatprepnow.com/module/gmat ... /video/842 Cheers, Brent

OptimusPrepJanielle · Answer

P is of the form 9n + 4

On checking the options:

A. 13 = 9 + 4
B. 31 = 9*3 + 4
C. 49 = 9*5 + 4
D. 57. This cannot be expressed as 9n + 4
E. 67 = 9*7 + 4

Correct Option: D

manishgmat1 · Answer

d is answer 9*6=54 
54+4=58

Abkhazian · Answer

p / 9 = k (4) with k the quotient and 4 the remainder 
--> p = 9k + 4
--> possible value of p : 4, 13, 22, 31, 40, 49, 58, 67... 
All answer choices fit, except 57...

answer D

rhine29388 · Answer

The number can be expressed in the form of 9x+4 where x can 0,1,2,3,4....
by evaluating the answer choices carefully we can clearly observe that 57 is the only number which can't be expressed in the form of 9x+4
In other words we can also say that the (answer - 4) will not be divisible by 9.57 is the number which doesn't follow this condition
Correct Answer - D

CounterSniper · Answer

p=9k+4
13=9*1+4
31=9*3+4
49=9*5+4
57=9*6+3
so D !!

kanusha · Answer

Check multiples of 9 in options
Only option is D reminds 3

gracie · Answer

p-4 has to be a multiple of 9
57-4=53, which isn't
D

nigina93 · Answer

we need to check nultiples of 9, only D is not

Abhishek009 · Answer

Min possible value of p is 4...

So, Possible values of p are : 4 , 13 , 22 , 31 , 40 , 49 ,  58  , Answer must hence be (D)

When p is divided by 9, the remainder is 4. All of the following are

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When p is divided by 9, the remainder is 4. All of the following are

Prep Toolkit

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