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Bunuel
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Bunuel
If A is a prime number, what is the value of A?

(1) 0 < A < 10.
(2) (A - 2) is divisible by 3.

Given to find the value of A.

Stat 1: 0 < A < 10 , if A is prime then we can take A as 2,3,5 and 7...Insufficient..no unique value.

Stat 2: (A - 2) is divisible by 3...here we can take any value to make the number divisible by 3.

for ex : if A = 5 , 11, etc... no unique value...Insufficient.

Stat 1 + Stat 2: Only A = 5 is divisible by 3...Other numbers are not.

IMO option C is correct answer.

OA please...will correct if I missed anything.



what about A=2

it is also divisible..0/2 =0

So answer is E

It should be divisible by 3 not 2..I think typo mistake... Here I considered the number exactly divisible by 3. Though I got doubt that such EXACTLY statement is not given.

If that is the case A = 2, 3 are also divisible by 3 that leaves us 0 and 1 as reminders respectively...Taken your point...
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(1) Could be 2,3,5,7. Not sufficient.
(2) Could be 2 (2-2=0) or 5 (5-2=3) or 11 (11-2=9). Not sufficient.

(1)+(2) 3,7 fail to meet condition (2), leaving two choices, 2 or 5. Not Sufficient.

Answer is E.
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This is a interesting situation.
I chose C Initially, But I now think even E may be right...
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St1.

0<A<10 , it could be 2,3,5,7. Not Sufficient.

St2.

Could be 5-2=3(div. by 3) or 11-2=9(div. by 3)

St1 & St2 = 0<A<10 & A-2= Div. by 3

It can only be 5. 5-2=3. 3/3=1
It can't be 2. 2-2=0.
IMO C.
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Bunuel
If A is a prime number, what is the value of A?

(1) 0 < A < 10.
(2) (A - 2) is divisible by 3.

(1) 0 < A < 10.

A can be 2, 3, 5 or 7

Not sufficient.

(2) (A - 2) is divisible by 3.
A can be 2, 5, 11, 17. Not sufficient.

Combining both statements does not give a unique answer. Not sufficient.

E is the answer
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(1) 0 < A < 10.
A can take 2,3,5,7 --insufficient

(2) (A - 2) is divisible by 3.
or,
(A-2)=3p
p=1 , A=5 ---prime
p=2, A=8 --- not a prime
p=3, A=11 ---prime
.
.
.
p=0, A=2--prime
insufficient

Combining both

A can take 2, 5

therefore E
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Bunuel
If A is a prime number, what is the value of A?

(1) 0 < A < 10.
(2) (A - 2) is divisible by 3.

Given to find the value of A.

Stat 1: 0 < A < 10 , if A is prime then we can take A as 2,3,5 and 7...Insufficient..no unique value.

Stat 2: (A - 2) is divisible by 3...here we can take any value to make the number divisible by 3.

for ex : if A = 5 , 11, etc... no unique value...Insufficient.

Stat 1 + Stat 2: Only A = 5 is divisible by 3...Other numbers are not.

IMO option C is correct answer.

OA please...will correct if I missed anything.


If A=2 then (2-2)/3 is also divisible by 3
so the answer will be E
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Here A is any prime number
we need to find the exact value of A
statement 1 => A can be 2,3,5,7 => insuff
statement 2 => A can be 2 or 5 or maybe 101(yes 101 is prime and 101-2=99 is a multiple of 3) or anything else => not sufficient
combining them A can still be either 2 or 5 => insuff

Smash that E
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