MathDB

3

Part of 2012 Hanoi Open Mathematics Competitions

Problems(2)

Q3- Hanoi Open Mathematical Olympiad 2012 - Junior Section

Source:

6/10/2012
Q3. For any possitive integer aa, let [a]\left[ a\right] denote the smallest prime factor of a.a. Which of the following numbers is equal to [35]\left[ 35 \right] ? (A)  [10];(B)  [15];(C)  [45];(D)  [55];(E)  [75].(A) \; \left[10 \right]; \qquad (B) \; \left[ 15 \right]; \qquad (C ) \; \left[45 \right]; \qquad (D) \; \left[ 55 \right]; \qquad (E) \; \left[75 \right].
computational inside a trapezoid (HOMC 2012 Q3)

Source:

7/24/2019
Let be given a trapezoidal ABCDABCD with the based edges BC=3BC = 3 cm, DA=6DA = 6 cm (AD//BCAD // BC). Then the length of the line EFEF (E∈AB,F∈CDE \in AB , F \in CD and EF//ADEF // AD) through the common point MM of ACAC and BDBD is
(A) 3,53,5 cm (B): 44 cm (C) 4,54,5 cm (D) 55 cm (E) None of the above
geometrytrapezoid