#umat practice questions

#UMAT SAMPLE Questions

Construct 1 - Logical Reasoning and Problem Solving

Question 1

The following table shows the number and rate of deaths due to transport accidents and assaults for young Australians.

With respect to young Australians in 2004, which of the following can be best concluded from the table above?

A. A transport accident is a more common occurrence than an assault.

B. About 25% of the persons aged 18-24 dying from a transport accident were female.

C. 0.093% of females aged 18-24 died as a result of a transport accident.

D. Transport accidents and assaults are a major cause of death amongst the young Australian cohort.

Answer: B

Explanation: A is incorrect because although the number of deaths may be higher due to transport accidents, this does not imply that transport accidents occur more often (instead, assaults may occur more often but only lead to minor injuries, not death). C is incorrect because if 9.3 females die per 100,000 young females, then the percentage is 0.0093% (9.3/100000 = 0.000093 = 0.0093%). D is incorrect because this table does not make any comparison of transport accidents/assaults to other causes of death amongst young people, so it is impossible to conclude how major a cause these are. B is correct because there are 88 females in the 340 people aged 18-24 who died in a transport accident, which is equivalent to roughly 25%.

Source: Young Australians: their health and wellbeing 2007 Australian Institute of Health and Welfare Canberra

Questions 2-5

This unit describes a process for creating a number sequence.

A Szabo sequence is created by finding the sum of the digits of a whole number, then adding this sum to the whole number to get the next term in the sequence.

For example, the next term after 403 is 410, since 403 + (4 + 0 + 3) = 410.

By repeating this process, we get successive terms of the sequence:

403, 410, 415, 425, 436, 449.

In this sequence, 410 is referred to as the term immediately prior to 415.

Any whole number can be used as the first term, or seed number, of a Szabo sequence. The seed number of the standard Szabo sequence is 1:

1, 2, 4, 8, 16, 23, 28, 38, 49, 62.

Question 2

Each of the numbers from 91 to 95 inclusive is used as the seed number of five different Szabo sequences.

The three seed numbers which produce sequences that have 107 as a member are