MathDB

2

Part of 2020 LIMIT Category 1

Problems(2)

LIMIT 2020 P2

Source: LIMIT 2020

4/11/2020
Prove that any integer has a multiple consisting of all ten digits {0,1,2,3,4,5,6,7,8,9}\{0,1,2,3,4,5,6,7,8,9\}. \\ Note: Any digit can be repeated any number of times
number theory
Area of CDEF

Source: LIMIT 2020 Cat 1 Obj P2

5/2/2020
In a square ABCDABCD of side 22 units, EE is the midpoint of ADAD and FF on BEBE such that CF⊥BECF\perp BE, then the quadrilateral CDEFCDEF has an area of
(A)22 (B)2.22.2 (C)5\sqrt{5} (D)None of these
geometrylimit