If x is an integer, is x

Question

If x is an integer, is x < 10?

(1) 7x < 77
(2) 190 − 20x < 10

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Papist · Answer

S1: Simplifies to x<11. x could be less than 10 but it could also be equal to 10. NOT SUFFICIENT. S2: This simplifies to -20x < -180 => x > 9. Since we know x is an integer, it must be 10 or more, so the answer to the question will always be no. SUFFICIENT. ANSWER: B

MARVEL13 · Answer

x is an integer

is x < 10?????

S(1) 7x < 77
--> x<11
---> X could also be 10 it could also be 9. May or may not less than 10.
Hence Not Sufficient.

S(2) 190 − 20x < 10
---> 20x >180
---> x>9 and X is a integer. Means X is either 10 or More. It is certainly not less than 10. SUFFICIENT.

ANSWER IS B.

NitishJain · Answer

IMO B

To check if  x < 10   Given : x is an integer

Stmt 1: 7x < 77 or x < 11; x can be 10 (false) or 9,8 .. (Yes)  INSUFFICIENT

Stmt 2:190 − 20x < 10 or x > 9 since x is integer, x =10 or 1 or 12 .... so FALSE;  SUFFICIENT

vipulshahi · Answer

x= int x<10? Statement 1 : 7x < 77 7x- 77<0 7(x-11)<0 x<11 Not Sufficient Statement 2: 190 - 2x < 10 -2x + 190-10<0 -2x + 180 <0 2x - 180 >0 2(x-90)>0 x>90 Sufficient. Answer :B

rajatchopra1994 · Answer

Explanation:
Given: X is an integer, Find: is x<10?
Statement 1 : 7x < 77
x<11
Not Sufficient

Statement 2: 190 - 20x < 10
 190-10-20x <0
180 - 20x <0
20(9-x) <0
9<x
Sufficient

IMO-B

GMATWhizTeam · Answer

Solution Step 1: Analyse Question Stem • x is an integer. • We need to find if x < 10 . Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE Statement 1: 7x < 77 • We have, 7x < 77 • Dividing both sides of the above inequality by 7, we get, o x < 11 o So, x can be 10 in that case x = 10 or x can be 9, 8, 7, 6, etc. in that case x < 10 • So, x can be either equal to 10 or it can be less than 10. o We are getting contradictory results. Hence, statement 1 is NOT sufficient and we can eliminate answer Options A and D. Statement 2: 190 – 20x < 10 • We have, 190 – 20x < 10 • Dividing both sides of the above inequality by 10, we get, o 19 – 2x < 1 • Subtracting 19 from both sides of the above inequality, we get, o -2x < -18 • Dividing both sides of the above inequality by -2, we get, o x > 9 o So, x can be 10 in that case x = 10 or x can be 11, 12, 13, 14, etc. in that case x >10 • So, x can be either equal to or greater than 10, but x can not be less than 10. Hence, statement 2 is sufficient. Thus, the correct answer is Option B.

Nipungupta9081 · Answer

IMO B

Statement 1 : 7x < 77
x<11
Not Sufficient

Statement 2: 190 - 20x < 10
190-10-20x <0
180 - 20x <0
20(9-x) <0
9<x

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bM22 · Answer

Statement 1: 7x < 77 => x < 11. => x could be 10 or less than 10. Insufficient. Statement 2: 190 − 20x < 10 => 180 < 20x => x> 9 => x could again be 10 or more. => x is not less than 10. Thus Sufficient. Answer is B.

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

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