Tham khảo tài liệu 'đề thi toán apmo (châu á thái bình dương)_đề 17', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 1. Shanthini visits Kamala on the Sinhala-Tamil New Year with 5 Laddus. Kamala has 7 Kevuns. In how many different ways can Kamala choose 10 pieces of sweets Laddus or Kevuns for the New Year ceremonial first meal A l B 2 C 3 D 4 E 5 2. What is the smallest integer obtained by crossing out 10 digits from 1234123412341234 A 111121 B 111122 0 111123 D 111124 E 111142 3. The sum of Sarath s age and Meena s age is 25. The sum of Kamal s age and Abdul s age is 40. Kamal is at least 2 years younger than Sarath. Then at least how many years is Abdul older than Meena A 15 B 16 C 17 D 25 E 40 4. At Kanjana s school four fifth of those who play chess play hockey and two thirds of those who play hockey play chess. The ratio of the number who play hockey the number who play chess is A 5 12 B 10 3 C 5 6 D 6 5 E 3 5 5. What is the shaded area of the figure drawn on 1 cm X 1 cm square grid which is shown on the below right A 25 cm2 B 26 cm2 C 27 cm2 D 28 cm2 E 29 cm2 1 26. A grasshopper jumps on a straight-line in both directions. He starts at point A and jumps with lengths 1 cm 2 cm 3 cm . in increasing order. Which of the following is are true I He cannot return to A in 4 jumps II He cannot return to A in 2010 jumps III He cannot return to A in 4020 jumps A I only B II only C III only D I and II only E None 27. A 4 digit positive integer number is 4 times smaller than the number obtained by reversing its digits . if the 4 digit number is X and the number obtained by reversing the digits of X is y then 4x y. Which of the following is are true about the 4 digit number I Thousands digit is 2 II Hundreds digit is 1 III There is at most one such number A I only B II only C III only D I and II only E All 28. Suppose a student answers all questions correctly except 5 in the SLMC 2010 competition -these 5 questions he answers incorrectly and any two of them are not consecutive. In how many different ways can this happen _ 26x25x24x23x22 A 26 X 25 X 24 X 23 X 22 B 5 X 5 X 5 X 5 X
