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21 May 2018, 00:32
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A
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Difficulty:
95%
(hard)
Question Stats:
36% (02:32) correct
64%
(02:24)
wrong
based on 362
sessions
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If n is a three-digit positive integer, what is the tens digit of n?
(1) Dividing n by 4 gives the same remainder as does dividing n by 25.
(2) Dividing n by 16 gives the same remainder as does dividing n by 25.
(1) Dividing n by 4 gives the same remainder as does dividing n by 25.
(2) Dividing n by 16 gives the same remainder as does dividing n by 25.
07 Jun 2018, 05:33
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CAMANISHPARMAR
IMPORTANT :-
when can two numbers leave same remainder - when we are looking at the numbers after their LCM or x*LCM, where x is a positive integer
(1) Dividing n by 4 gives the same remainder as does dividing n by 25.
so the numbers should be immediately after the LCM of 4 and 25, which is 100..
and remainder of 4 can be 0,1,2,3.... so numbers can be 100,101,102,103
next will be 2*100, 201,202,203
so in all cases the TEN's digit will be 0
sufficient
(2) Dividing n by 16 gives the same remainder as does dividing n by 25.
so the numbers should be immediately after the LCM of 16 and 25, which is 400..
and remainder of 16 can be 0,1,2,3...15, so numbers can be 400,401,402,403,....410,411,..415
next will be 2*400, 801,802,803...810,811...815
so in all cases the TEN's digit will be 0 or 1
insufficient
a
General Discussion
21 May 2018, 00:42
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Question Stem:- n is a three-digit positive integer. To find - what is the tens digit of n
Important points:-
Its a value question.
STATEMENT 1:-
First find LCM 4 & 25 ---> 100. Check which all three digit numbers will give same remainder when divided by 100. e.g. 101, 102, 103, 201, 202, 203 ...... 901, 902, 903 etc. These are different numbers but look what the question stem is asking? Its asking for tens digit hence we have a definite value, its 0. hence statement 1 is sufficient.
We are down to A vs D.
Statement 2:-
Repeat the same process, First find LCM 16 & 25 ---> i.e. 400. Check which all three digit numbers will give same remainder when divided by 400. e.g. 401, 402, 403, .....414,415......... 801, 802, 803....814, 815.... etc. These are not only different numbers but this time we don't even have a tens digit which has a definite value, it can be 0 or 1. hence statement 2 is insufficient.
Hence the correct answer is A
Important points:-
Its a value question.
STATEMENT 1:-
First find LCM 4 & 25 ---> 100. Check which all three digit numbers will give same remainder when divided by 100. e.g. 101, 102, 103, 201, 202, 203 ...... 901, 902, 903 etc. These are different numbers but look what the question stem is asking? Its asking for tens digit hence we have a definite value, its 0. hence statement 1 is sufficient.
We are down to A vs D.
Statement 2:-
Repeat the same process, First find LCM 16 & 25 ---> i.e. 400. Check which all three digit numbers will give same remainder when divided by 400. e.g. 401, 402, 403, .....414,415......... 801, 802, 803....814, 815.... etc. These are not only different numbers but this time we don't even have a tens digit which has a definite value, it can be 0 or 1. hence statement 2 is insufficient.
Hence the correct answer is A
