SMO 2016 Open Round 2 List

Cut off for Rd 2 ~13

SMO 2016 Open Questions

SMO 2016 (Open Section) Answers

1. 48

2. 6

3. 1007

4. 2145

5. 11

6. 1017

7. 9

8. 2018

9. 4032

10. 10

11. 4

12. 2

13. 946

14. 2017

15. 147

16. 4030

17. 71

18. 625

19. 48

20. 5

21. 48

22. 625

23. 100

24. 12

25. 25

For previous years' cut off points to special round, please refer to an old blog post here.

## 44 comments:

is the answer for 6 1017?

shouldnt the answer for 12 114?

i am doubtful about the answer for qn19

Shouldn't 8 be 2018? X can't be 1009

Isn't question 8 answer 2018, question 16 answer 8063 and question 19 answer 48?

qn16 is 4030 as the function can be (2x-1)+x(x-1)(x-2)...(x-2015)

question 8 cannot be 2019 since x cannot be 1009 but can be any integer between 0 to 2018 other than that.

Q8 is 2019.

RHS = 1

x can be any integer between 0 to 2018.

There are 2019 integer solutions.

Question 8 should be 2017, since both 1009 and 1004 are invalid.

1004 works.....

For question 12, the answer is 2 because sin x = x only if x is small and is in radians.

1004 does not work.

For q18 shouldn't the answer be 5 since 1000=8*125 so (1*3*...*2017)/1000=(1*3*...*123*127*129*...*2017)/8 which gives a remainder of 5?

Question 12 is 114, or else they won't even need a floor

Even I think so.....

What's the predicted cut-off this year? I think this year is harder...

1*3*5*...*2017 is congruent to 0 (mod 625) and 1*3*...*2017 is congruent to 1 (mod 8). Therefore 5 cannot be the answer as it is absurd

It isn't particularly hard so the cutoff would be the usual 11-12 points.

Normally when will the second round cutoff be publicized?

Can anyone tell me how to do question 13? I wrestled with this question but still cannot come up with an answer

Really?Do you think the cutoff will be lower than 2015 and 2013?

I think it is quiet time-consuming so I skipped it without hesitation during the exam.

what is this year's difficulty like compared to 2013 and 2015?

Reply:Really?Do you think the cutoff will be lower than 2015 and 2013?

So how many do u get correct?

14

24C3 = 2024

Number of ways where b=d=(a+c)/2 is 2(12C2)=132

(2024-132)/2!=946

By the way, speaking of time consuming, do you know how to do question 19?

Yes,question 19 is quiet simple.Use Pythagoras theorm twice and you can get the answer

I think the one involving Pythagoras theorem is question 20. Question 19 is the one involving the product of two fractions

My apology! I confused question 19 with 21. Notwithstanding,I work out 19 as well.I would like to share you with my solution.Can I have your email or you prefer me posting it here?

My email is unturnedskittlespony@gmail.com

Just sent you the solution.

U got the invitation right...

Yes,I do.But do you know what is the cutoff?

Invitation? For round 2?

Correct.

Are you in SIMO team ?

Reply to:Yes,I do.But do you know what is the cutoff?

Dun know,but how many do u get correct?

The results are out already?

How did you know the results?

Click on the "Round 2 List" just above the answers

What is SIMO...?

A little above the cutoff

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