FAST Analytical Problem Solving 5

Question 1

A rectangle has a perimeter of 36 cm. If the length is twice the width, what is the area of the rectangle?

Accepted Answer

72 sq cm

Answer

2(l+w)=36 → l+w=18; l=2w → 3w=18 → w=6, l=12; area=72 sq cm.

Question 2

In a code language, 'hot sun bright' means 'din tok sul', 'cold wind rain' means 'pax rin mov', and 'hot cold day' means 'din pax vem'. What word means 'hot'?

Accepted Answer

din

Answer

'Hot' appears in sentences 1 and 3; the word common to 'din tok sul' and 'din pax vem' is 'din'.

Question 3

A committee of 3 must be chosen from 7 candidates. How many different committees are possible?

Accepted Answer

35

Answer

C(7,3) = 7!/(3!×4!) = 35 possible committees.

Question 4

Five employees — J, K, L, M, N — sit in a row. J must sit next to K, and M cannot sit at either end. How many valid arrangements exist?

Accepted Answer

48

Answer

Treat JK as a unit (2 internal arrangements): 4 units arranged in 4! = 24 ways; minus arrangements where M is at an end: 48 valid arrangements remain.

Question 5

A researcher wants to test whether a new drug reduces blood pressure. She randomly assigns 200 patients to drug or placebo groups and measures results. What type of study is this?

Accepted Answer

Randomized controlled trial

Answer

Random assignment to treatment and control groups defines a randomized controlled trial, the gold standard for testing causation.

(FAST) Future Aptitude Selection Tool Practice Test

(FAST) Future Aptitude Selection Tool Practice Test

FAST Analytical Problem Solving 5