If x is an integer, is x ≤ 11? (1) 7x

Question

If x is an integer, is x ≤ 11?

(1) 7x < 77
(2) 190 - 20x <10

Hi guys I'm not sure were I got this question from and I'm also not 100% certain about the OA, please review and let me know what you think
I chose A but I'm not sure whether that's correct or not

Bunuel · Answer

From (1) we get that x < 11 and from (2) that x > 9. So, (1) is sufficient and (2) is not.

Answer: A.

ManjariMishra · Answer

From 1 we got x<11 but what about x=11

Also from 2 we have x > 9

Could you please clarify

Posted from my mobile device

Bunuel · Answer

The question asks whether x is less than or equal to 11. So, if x is 11, 10, 9, 8, ... you get an YES answer. (1) says that x is less than 11. So, we have an YES answer to the question.

Your question on (2) is not clear.

ManjariMishra · Answer

Bunuel  Please correct me if my understanding is wrong

From the first statement we deduced that x<11 it means x can be 10 9 8 7 6 et al But it is not satisfying that x can be 11
and hence not sufficient.

The second statement comes down to x>9 .But for x<=11 means the value can be 6,7,8 so not sufficient.

May be I am getting confused and want to clarify this.

Archit3110 · Answer

If x is an integer, is x ≤ 11?

(1) 7x < 77
(2) 190 - 20x <10

#1
solve we get x<11
sufficeint
#2
solve we get x>9
insufficient
IMO A

Debashis Roy · Answer

VeritasKarishma chetan2u Bunuel
Hi
I have a question regarding this:
(1) says x<11 but not x =11...
suppose the problem is such that Statement(2) infers that x <=11.....(which is exactly what is asked in the question)
Then what will be the answer(D) or (B)....

In other words if question asks <= or >=... and from a statement we find only ">" or "<" or "=" to be true..... should we take the statement a YES or a NO

Thanks in advance

chetan2u · Answer

Look you already have statement I sufficient, so just forget about it while looking at statement II.
Now if as you say statement II gives x /leq{11} , this is also sufficient.

So both statements are sufficient individually..
D

Debashis Roy · Answer

chetan2u 
Hi Chetan...
If both statements in the above problem inferred x=11... what would be the answer?
If both statements inferred x<11 but not = 11 then what would be the correct answer?

I hope i m clear...

If x is an integer, is x ≤ 11? (1) 7x < 77 (2) 190 - 20x <10

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