My first is in mammoth, but not in elephant.
My second is in raccoon, but not in beaver.
My third is in dobbin, but not in horse.
My fourth is in koala, and in kangaroo.
My fifth is in tiger, but not in lion.
My last is in pony, but not in horse.
What am I?
Hint
My first letter is M, and watch out for the wording for the 4th letter.
Answer
A monkey.
Reasoning
The 1st letter can be: M O
The 2nd letter can be: C O N
The 3rd letter can be: D B I N
The 4th letter can be: K O A
The 5th letter can be: T G E R
The 6th letter can be: P N Y
??
Puzzle 198
Last week I travelled from London to Leeds, a distance I measured as 174 miles.
I started at 9.15am and completed the journey with an average speed of 40 miles per hour.
On the way back, in the evening, I travelled exactly the same route, starting at 5.15pm. The traffic was light, and I completed the journey with an average speed of 60 miles per hour.
What was the overall average speed for the round trip?
Just last week, Stacey's nieces and nephews met up to go to the cinema to see the latest blockbuster.
From the clues below, can you determine the order in which they stood in the ticket queue?
Sam was in front of Sarah. Stuart was behind Sandra, and Sally. Sally was in front of Sharon, and Steve. Sabrina was behind Stuart, Simon, and Steve. Steve was in front of Sabrina, Simon, and Shane. Shane was behind Simon, Sharon, and Sabrina. Sandra was in front of Sarah. Simon was in front of Sam, Stuart, and Sandra. Sarah was in front of Sharon. Sabrina was in front of Sam, and Shane. Sarah was behind Sandra, Sally, and Sabrina. Stuart was in front of Sarah. Simon was behind Sally.
Triangle: 47. Doughnut
The area of a circle is π x Radius2.
The larger circle has diameter = 40, therefore, the radius is 20, and the area is π x 202 = 400π.
The smaller circle has diameter = 20, therefore, the radius is 10, and the area is π x 102 = 100π.
Therefore, the shaded area is 400π − 100π = 300π ≈ 942. Circle
The area of a circle is π x Radius2.
The circle with diameter 31 has a radius of 15.5 and an area of π x 15.52 ≈ 755.
The circle with diameter 35 has a radius of 17.5 and an area of π x 17.52 ≈ 962 (closest match).
The circle with diameter 39 has a radius of 19.5 and an area of π x 19.52 ≈ 1195. Square
The area of a square is Side x Side.
The square with side 31 has an area of 31 x 31 = 961 (closest match).
The square with side 35 has an area of 35 x 35 = 1225.
The square with side 39 has an area of 39 x 39 = 1521. Triangle
The area of a triangle is 1/2 x Base x Height. Using Pythagoras' theorem, it can be shown that the area of an equilateral triangle is √3 x Base2 ÷ 4.
The triangle with side 39 has an area of √3 x 39 x 39 ÷ 4 ≈ 659.
The triangle with side 43 has an area of √3 x 43 x 43 ÷ 4 ≈ 801.
The triangle with side 47 has an area of √3 x 47 x 47 ÷ 4 ≈ 957 (closest match).
