Problem Statement

Consider three numbers where the first equals half the second, and the second equals half the third. Given that the average of the second and third numbers is 93, work out the first number. 25 31 27 33 Four friends David, Max, John, and Shane went shopping and each bought shoes from a different brand among Pima, Avidas, Fola, and Niky, in one of the sizes 7, 8, 9, and 10, though not necessarily matching this order. David bought from either Pima or Fola, and his shoe size is a perfect square. Shane bought a shoe sized with a prime number from Niky. Whoever bought the perfect-cube-size shoe wears the Fola brand. John did not buy from Fola. Which of the given options correctly pairs Person-Shoe size-Brand? David-7-Pima Max-9-Fola John-10-Avidas Shane-7-Avidas Six girls — Olivia, Quinn, Rachel, Nia, Sara, and Tara — sit in a row facing North, in some order. Exactly three girls sit between Rachel and Sara. Tara sits immediately to the right of Sara but not at either end of the row. Olivia s