Math Is Fun Forum

1)
There are 70 clerks working with Messrs STEVE STEEVE StEAVE & Co, Chartered accountants, of which 30 are females. Also-
a)30 clerks are married;
b)24 clerks are above 25 years of age;
c)19 married clerks are above 25 years, of whch 7 are males;
d) 12 males are above 25 years of age; and
e) 15 males are married
How many bachelor girls are there and how many of these are above 25?
2) Can you write:
a) 1 by using all ten digits (each digit used once only)?
b) 100 with five identical digits?
c) 1000 with eight-
(i)8's?
(ii)4's?
(iii)5's?
(iv)7's?
(v) of any digit other than zero?

The questions get progressively harder; the harder the question, the more points it’s worth. See how many points you can score. (No Googling or cheating please. )

Mathematics & Science

1. If n is an odd integer, then n[sup]2[/sup]−1 is divisible by 4. True or false? (1 point) T

2. What phase of matter is intermediate between solid and gas? (1 point)LIQUID

3. What name is given to an integer greater than 1 that is not a prime number? (1 point)COMPOSITE

4. Titan is the satellite of which planet? (1 point)JUPITER

5. Whose law states that the volume of a fixed mass of gas at constant pressure is directly proportional to its absolute temperature? (1 point)BOYLE-GAY LUSSAC

6. In August 2006, Pluto, Eris and Ceres were officially designated “dwarf planets” by the International Astronomical Union. What type of object had Ceres been known as previously? (2 points)MOON

7. There are 6 “flavours” of quarks. Up, down, top and bottom are four of them. What are the other two? (2 points; 1 point each)
HIGH AND LOW
8. Which axiom of set theory is equivalent to Zorn’s lemma and the well-ordering principle? (3 points)

9. Name three chemical elements whose names begin with the letter “D”. (3 points; 1 point each)

10. Which mathematician in 1882 proved that π is a transcendental number (i.e. it is not the root of any polynomial with rational coefficients)? (5 points)