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4) A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?
a)all odd are false and even are true
b)alleven are true and odd are false
c)all are false
d)none of these
Read Solution (Total 29)
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- For this kind of questions the logic is simple , you have to remember 3 things .
when the question says :
atleast - half of the statements are true and half are false
exactly -- (n-1)th statement is true and remaining are false
atmost -- then all are true ..
now according to the above asked question ,
atmost : then all the statements are true ..
therefore, none of these (option d ) is the solution - 13 years agoHelpfull: Yes(63) No(6)
- it's option d)
because see in the question they hve mentioned "at most"..
means it need not all of yhem to be false.. it can also mean
that there is a case for all of the stmts to be true.
so none of these is true
- 14 years agoHelpfull: Yes(9) No(2)
- Statement 30 reads, "At most 30 of the statements on this sheet are false"
Since there are only 30 statements on the sheet, there can't be 31 or more false statements. The statements could be true, false, or neither, but there aren't more than 30 of them. So statement 30 is true.
Now look at statement 29. Statement 30 is already true, so that leaves 29 possible statements that could possibly be false, at most. So statement 29 is true.
And so on - 13 years agoHelpfull: Yes(7) No(1)
- i think all are false
- 14 years agoHelpfull: Yes(6) No(6)
- if it is told that atmost n statements are false then answer is All are false
- 13 years agoHelpfull: Yes(4) No(2)
- none of this is d answer bcoz all r true is d correct option
- 14 years agoHelpfull: Yes(2) No(0)
- d) .all are true
but i m not sure!!!!!!!!!! - 14 years agoHelpfull: Yes(2) No(3)
- all are true
option-d - 13 years agoHelpfull: Yes(2) No(0)
- (c) is the ans.
coz atmost 30 statements can b false bt atmost 0 statements cant b false since n ranges frm 1 - 30. So d is incorrect - 14 years agoHelpfull: Yes(1) No(2)
- ans is option c
- 13 years agoHelpfull: Yes(1) No(2)
- the answer according to me is d) as the word "at most" is mentioned.
at most means either 0...n are false.
- 13 years agoHelpfull: Yes(1) No(0)
- c because option a and b are same. n c is the suitable answer
- 13 years agoHelpfull: Yes(1) No(0)
- d)
if they hv asked atmost den the answer is all r true..
- 13 years agoHelpfull: Yes(1) No(0)
- ans:c
since the 30th qn says 'at most 30 of the statements are false' - 13 years agoHelpfull: Yes(1) No(1)
- if we consider 30th statement then according to the condition atmost 30 statements must b false.....so i think it should be -all are false...but i m not sure...
- 14 years agoHelpfull: Yes(0) No(6)
- none
for example take 2, atmost 2 must be false but it is not compulsory, the same goes for the remaining - 13 years agoHelpfull: Yes(0) No(0)
- answer is d... because here all the statements are true
- 13 years agoHelpfull: Yes(0) No(0)
- only last one is true
- 13 years agoHelpfull: Yes(0) No(0)
- suppose take 30 statements are false then 1,2,...30 statements are false comming to check up from 1 st statement shows false now. at most n statement means at most
st n statements r (n-1)... until 0 first statement is mismatch so c wrong answer
so d is our answer
- 13 years agoHelpfull: Yes(0) No(0)
- atmost means nothing then the number of statements that can be false are zero .
- 13 years agoHelpfull: Yes(0) No(1)
- It is option d..
- 13 years agoHelpfull: Yes(0) No(0)
- none of these..all are true
- 13 years agoHelpfull: Yes(0) No(1)
- ans is (a)
all odd r false n even r true - 13 years agoHelpfull: Yes(0) No(2)
- c..because it is said n statements are wrong
- 13 years agoHelpfull: Yes(0) No(0)
- odd r true and even r false
1. F,T,F,T....30 times
2. F,T,F,T....29 times
.
.
.
29. F,T
30, F - 13 years agoHelpfull: Yes(0) No(3)
- d) none of these
All statements are true.. - 13 years agoHelpfull: Yes(0) No(0)
- D)none of the above is the ans
because correct anser isw ALL THE STATEMENTS ARE TRUE - 13 years agoHelpfull: Yes(0) No(0)
- All statements are false.
- 13 years agoHelpfull: Yes(0) No(1)
- ans- c, because, if you just take an example, 6th statement- "atmost 6 statements on this sheet are false". therefore, if it says,
- 13 years agoHelpfull: Yes(0) No(2)
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