Question
A recipe for a cake calls for 2.5 cups of milk and 3
cups of flour. With this recipe, a cake was baked using 14 cups of flour. How many cups of milk were required?Solution
3 cup of flour is needed to bake 1 cake In 1 cup of flour we can bake 1/3 rd of a cake & In 14 cups of flour we can bake 14 x (1/3) of cake = 14/3 Now for 1 cake 2.5 cup of milk is required So, therefore for 14/3 part of cake milk required = 14/3 x 2.5 = 11(2/3) cup Alternate Solution Milk: Flour = 2*1/2 : 3 Milk: Flour = x: 14 ⇒2*1/2 : 3 : : x : 14 ⇒ 3 x = 5/2 ×14 ⇒ x = 5/2 × 14/3 = 35/3 x = 11`(2)/(3)` cups
What will come in place of (?) question mark in the given number series.
16, 24, 51, 115, 240, ?
Find the missing number in the given number series.
512, 128, 32, 8, ?, 171, 79, 88, 152, ?, 393
15, 31, 67, 131, ?, 375
1, 26, 75, 156, 277, ?
7 29 61 ? 211 349
...18   29   16   31   ?   33
72, 82, 62, 102, 22, ?
?, 15, 45, 225, 1575, 14175
166    156    136   ?     66    16