Exam Maths Puzzle Logical Reasoning Mathematical Reasoning

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.

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Exam Other Question

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. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse’s station. Pens are purchase in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.