exam Maths Puzzle Numerical Ability

Elizabeth has a collection of bugs. all of them are either fruit flies or tarantulas. she has a total of 75 bugs. altogether they have a total of 562 legs. how many fruit flies and tarantulas does she have? justify your answer.

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exam Other Question

you are forming a portfolio with half your money in stock a and half in b. stock a beta of 2, stock b beta of 1.4. 40% chance that market will return 10% and 60% chance it will r An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also at a distance xcm from one
of its ends) as shown below.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.