#55 Ton up
How can you divide 100 into four parts such that: adding 4 to the first part, subtracting 4 from the second part, multiplying the third part by 4 and dividing the fourth part by 4 results in all parts having the same value as each other?
Answer next week
#54 Pyramid of possibilities
Solution
The 21 must be the product of 3 and 7, but in which order? The 350 isn鈥檛 divisible by 3, and its factors must include the second, third and fourth numbers on the bottom row, so the first block on the bottom must be 3 and the second 7. The prime factors of 350 are 7, 5, 5 and 2. The second and third numbers in the third row multiply to make 350, and are both multiples of the third number on the bottom row. So the third number on the bottom must be the 5 (as there are two factors of 5 in 350) and the final block on the bottom is the 2. Given this, all the remaining blocks can be solved.
Quick quiz #47
1 A pteronophobe would probably be no ornithophile. Why?
2 The citric acid cycle, a series of chemical reactions through which aerobic organisms derive energy by breaking down carbohydrates, fats and proteins, alternatively often bears which eponym?
3 What does Snell鈥檚 law describe?
4 The chemical elements helium, tellurium, selenium and mercury have what in common?
5 When fungi and algae live in happy symbiosis, they make what?
Answers below
Quick quiz #47
Answers
1 Ornithophilia is a love of birds; pteronophobia is a fear of feathers
2 The Krebs cycle, after Hans Adolf Krebs, the German-British researcher who mapped important details of it
3 The bending or refraction of a light wave or other wave when it crosses a boundary between two media
4 They are all named after celestial bodies: the sun, Earth, the moon and鈥� Mercury
5 A lichen
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