GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 06:30

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

If x is a positive integer, what is the tens digit of x? When the

Author Message
Senior Manager
Joined: 25 Dec 2018
Posts: 484
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
If x is a positive integer, what is the tens digit of x? When the  [#permalink]

Show Tags

26 Mar 2019, 00:59
1
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:22) correct 52% (02:17) wrong based on 27 sessions

HideShow timer Statistics

If x is a positive integer, what is the tens digit of x?

I. When the product of 2 and (x+1) is rounded to the nearest tens, the result is 40
II. When the product of 3 and (x+1) is rounded to the nearest tens, the result is 70
Math Expert
Joined: 02 Aug 2009
Posts: 7954
If x is a positive integer, what is the tens digit of x? When the  [#permalink]

Show Tags

26 Mar 2019, 06:19
If x is a positive integer, what is the tens digit of x?

I. When the product of 2 and (x+1) is rounded to the nearest tens, the result is 40
the product of 2 and (x+1) = 2(x+1).
rounding an integer to nearest ten and result being 40 means, the integer is from 35-44
Thus $$35\leq2(x+1)\leq44..........33\leq2x\leq42........17.5\leq{x}\leq21$$, so number can be 18,19,20 or 21...
Thus tens digit can be 1 or 2..
Insufficient

II. When the product of 3 and (x+1) is rounded to the nearest tens, the result is 70
the product of 3 and (x+1) = 3(x+1).
rounding an integer to nearest ten and result being 70 means, the integer is from 65-74
Thus $$65\leq3(x+1)\leq74..........62\leq3x\leq71........20.6\leq{x}\leq23.6$$, so number can be 21, 22 or 23...
Thus tens digit can be only 2..
Sufficient

B
_________________
If x is a positive integer, what is the tens digit of x? When the   [#permalink] 26 Mar 2019, 06:19
Display posts from previous: Sort by