If k is a positive integer, what is the hundreds digit of k?

Question

(1) The thousands digit of 10k is 7.

(2) The hundreds digit of k+1 is 7.

Source: GmatFree

AMahmoodi · Answer

Hi.

st1. the thousand digit of 10k is the same as the hundred digit of K. k=*** * ** & 10k=*** * **0
therefore the hundred digits of k is 7.

st2. clearly insufficient. if k= 699 & k+1=700 or k=701 & k+1=702 in one the answer is 6 and other 7.

Hope is helps.

rohit8865 · Answer

(1). The thousands digit of 10k is 7
this means K must be 3 digit or more a positive integer
having 7 as hundredth digit
As multiplying any number by 10 will just add 0 to its units digit

thus suff

(2) let k=699 then ...hundreds is 6
but if k=700 then hundredths digit is 7
Not suff

Ans A

Bunuel · Answer

Similar questions to practice: https://gmatclub.com/forum/what-is-the-h ... 88786.html https://gmatclub.com/forum/what-is-the-h ... 21740.html https://gmatclub.com/forum/what-is-the-h ... 20631.html https://gmatclub.com/forum/what-is-the-h ... 10000.html https://gmatclub.com/forum/what-is-the- ... 31784.html Hope it helps.

HKD1710 · Answer

Stmt-1:  The thousands digit of 10k is 7.
if a number is XXX which is when multiplied by 10 would become xxx0. but it is told that thousands is 7. then it means without the last zero aquired, 7 is indeed the hundreds digit.

Stmt-2:  The hundreds digit of k+1 is 7.
if k is 699 then k+1 has 7 as hundreds digit. 
if k is 700 then k+1 has 7 as hundreds digit. 
Insufficient as k has different hundreds digit as 6 & 7.

Answer is A.

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If k is a positive integer, what is the hundreds digit of k?

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