[問題] 9月數學 jj 之二
下面這幾題也是九月的韓網 jj
有人能幫忙解一下嗎
幾乎都覺得很怪
謝謝
11. An octagen was inscribed inside a circle and two lines were drawn
connecting to the center from the edges of one side of the octagen. Find the
angle between these two lines?
12. A car goes around a circle of radius of 14km in the first round it
travels with a speed of 11km/hr in sub sequent rounds its speed increases by
11km/hr in each round how much time does the car take to cover a dist of 440km
A. 14*8/5
B. 15*14/18
C. 18*4/15
D. 4*15/18
E. 7*4/15
13. If n is an integer, the number of primes in between n and n+6 is?
A. 0
B. 2
C. 6
D. 3
E. 4
14. If a point in a particular co-ordinate system is (2, 9) and in another
co-ordinate system is (-8, 81) then by how many degrees should the first
co-ordinate system axis be rotated to get the send co-ordinate axis?
15. Given two sides of a triangle as 10 and 10 & the area of the triangle as
36. Find the height of the triangle?
16. There are 33 balls and 7 boxes. Balls are filled in boxes such that no
box is empty and no ball is left. which of the following is necessarily true?
(i) there are 5 balls in at least 1 box
(ii) there are at least 4 balls in every box
(iii) there is at least 1 box with the same number of balls
A. Only I ; B. Only ii ; C. Only iii ; D. Both i and ii ; E. Both i and iii
17. Given a figure of rectangle with base 15 and height 12, reduce one of the
heights to 8 units... now join the shorter height to the longer height.. like
a staircase with different heights at each step... the question was to find
the length of the staircase?
19. If x is a negative number, then
Col A: mod x + mod(-2)
Col B: mod(x-2)
20. The Harmonic Mean of 10, 20 is ………..
21. If the average of 'x' spaces of some numbers is 56 and the average of 'y'
spaces of some numbers is 56, if 't' lies in the percentile of 60% to 65% of
x spaces and 's' lies in the percentile of 70% to 75% of y spaces.
Col A : t
Col B: s
23. Given a right angled cylinder of diameter 20feet and height 4feet. What
is the volume of the cylinder, when up to a depth of 3 feet and 6 inches?
(Hint: 1 foot = 12 inches; 1 gallon = 231cubic.mts)
24. The greatest prime factor if k is a positive integer
Col A: 40k Col B: 39k
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