If w represents the tens digit in
a = 2,125,4w6.
What is the value of w?
(1) a is divisible by 6
(2) a is divisible by 4
The OA is the option E.
I don't know how to conclude that none of the statements is correct. Could anyone help me? Thanks in advance.
If w represents the tens digit in a = 2,125,4w6
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Hello Vjesus12.
Let's consider the number $$a=2,125,4w6.$$ Now, let's try to find the value of w.
First statement
Since a is divisible by 3, then the sum of the digits of a must be divisible by 3. $$2+1+2+5+4+w+6=20+w.$$ To get a value that is divisible by 3 w can have the following values:
w=1
w=4
w=7
Since we didn't get only one option, then this statement is not sufficient.
Second statement
To get it, w can be any of the following values:
w=1
w=3
w=5
w=7
w=9
Since we didn't get only one option, then this statement is not sufficient.
First statement + Second statement
w=1
w=7
So, we didn't get a single value for w. Therefore this statement is not sufficient.
In conclusion, the correct answer is the option E.
I hope it helps you. <i class="em em-smiley"></i>
Let's consider the number $$a=2,125,4w6.$$ Now, let's try to find the value of w.
First statement
If a is divisible by 6 then a is divisible by 2 and 3.(1) a is divisible by 6
Since a is divisible by 3, then the sum of the digits of a must be divisible by 3. $$2+1+2+5+4+w+6=20+w.$$ To get a value that is divisible by 3 w can have the following values:
w=1
w=4
w=7
Since we didn't get only one option, then this statement is not sufficient.
Second statement
Now, if a is divisible by 4 then the number composed by the last two digit (to the right) must be divisible by 4. That is to say, we have that w6 is divisible by 4.(2) a is divisible by 4
To get it, w can be any of the following values:
w=1
w=3
w=5
w=7
w=9
Since we didn't get only one option, then this statement is not sufficient.
First statement + Second statement
Using both statements the list of the possible values for w is:(1) a is divisible by 6
(2) a is divisible by 4
w=1
w=7
So, we didn't get a single value for w. Therefore this statement is not sufficient.
In conclusion, the correct answer is the option E.
I hope it helps you. <i class="em em-smiley"></i>