The number of colleges in Leeds is 17 less than thrice the number of colleges in Dublin. If the number of colleges in Dublin is y, how many colleges are there in Leeds?
Niall rolls a cube in which the letters J, H, Q, Y, A and R appear on faces 1, 2, 3, 4, 5, and 6, respectively. What is the fraction of symmetric letters (either horizontal or vertical) on the cube?
Lorna has a ^@ 12 \space m ^@ long wire. She cuts it into ^@3^@ pieces, i.e., ^@x^@, ^@y^@, and ^@z.^@ Wire ^@ x ^@ is ^@ 1 \dfrac{ 1 }{ 2 } \space m ^@ long. Wire ^@ y ^@ is ^@ 4 \dfrac{ 3 }{ 7 } \space m ^@ longer than the wire ^@x.^@ Find the length of the wire ^@z.^@
A bucket contains ^@ 19 \dfrac{ 5 }{ 6 } ^@ liters of water. If the capacity of a jug is ^@ \dfrac{ 7 }{ 12 } ^@ liter, how many jugs can be filled from the bucket to get it emptied?