Section I

Questions 1 - 5

Question 1
A local charity has raised a total of £2001 and must distribute this to five different groups. The money must be distributed so that each group receives at least £100, and that no two groups receive the same amount.

What is the most that the third largest group will receive?

A £601
B £599
C £597
D £595
E £103


Question 2
The genesis of mathematical creation is a problem which should intensely interest the psychologist. It is the activity in which the human mind seems to take least from the outside world… so that in studying the procedure of mathematical thought we may hope to reach what is most essential in man’s mind.

Which of the following is closest to the underlying assumption in the passage above?

A Mathematics is a psychologically interesting subject
B Mathematicians are psychologically interesting people
C Mathematical problem solving is a little understood psychological area about which not enough is known.
D Psychologists and mathematicians have more in common than has been previously realised


Question 3
A courier firm charges its clients a fixed rate for each delivery, but in addition a charge for each kilometre travelled.

It costs a firm £50 for the couriers to deliver a document to an office 60 km away, but only £25 to deliver to an office 10 km away.

What would be the cost to deliver to the head office, which is 90 km away?


Question 4
" I think that cars today are almost the exact equivalent of the great Gothic cathedrals: I mean the supreme creation of an era, conceived with passion by unknown artists, and consumed in image if not in usage by a whole population which appropriates them as a purely magical object."

Which of the following statements, if true, most weakens the argument of the statement quoted above?

A Cars and Cathedrals are both mediocre artefacts about which people are quite indifferent
B People who design cars have never seen a Cathedral
C Churchgoers and motorists have no interests in common
D Cathedrals and cars serve entirely different functions
E Gothic Cathedrals and cars were both designed by well known professionals, not by “unknown artists”


Question 5
A supplier deals with 800 companies in total, and 20% of these companies are located outside the UK. Of the UK companies only 80% have placed an order with the supplier in the past year. In an attempt to increase business the supplier hopes to encourage a minimum of 1 in 10 UK companies who have not placed an order in the last year to do so. How many companies is this? (To the nearest whole number)

A 130
B 64
C 16
D 13
E 3

 

Answers for questions 1-5