G102

When encountering an unfamiliar word, research it.

Let m and n be two real numbers such that m > n. Which of the following is equivalent to the Golden Ratio?

m + n / m

In formal writing and communication, the common sizes of bond paper are the following:

Foolscap — 216 mm by 343 mm

A4 — 210 mm by 297 mm

B4 — 250 mm by 353 mm

A3 — 297 mm by 420 mm

Which paper type is nearest to the Golden Ratio in terms of width-to-length ratio?

Foolscap

These are infinitely complex patterns that are self-similar across different scales.

Fractals

Who is he?

He successfuly carried out the first wireless telegraphy (1895) and transmitted and received the first transatlantic radio signals

(1901).

Guglielmo Marconi.

The reciprocal of the Golden Ratio o is equal to which expression?

o - 1

He is one of the early mathematicians whose life testimony proved that computational skills are not required to grow and

contribute to the mathematical field. He used abstraction, rather than explicit computations to prove and establish essential

mathematical theories that led to breakthrough discoveries in both applied mathematics and the sciences. His major influence in

modern mathematics is the axiomatic treatment of geometry.

David Hilbert.

This 21st century mathematician is well-credited for his work in atmospheric phenomena. Among his many contributions in

modelling naturally occuring patterns include cloud formations, rainbows, river meanders, honeycombs and snowflakes.

Ian Stewart.

Let Fn denote the nth Fibonacci number, where F1 = F2 =1. Find F30.

832,040

A Fibonacci prime is a Fibonacci number that is also a prime number. Examples are F3=2, F4=3, F5=5, and F7=13. Which of the

following is a Fibonacci prime?

233

Let f(x)=x2 and g(x)=x-3. Find f(g(x)).

(x-3)²

Find the domain of √ 9-x2.

[-3,3]

Find the domain of f(x)=1/(x2-x).

All real numbers except x=0,-1.

The vertical line test states that ____.

A curve in the coordinate plane is the graph of a function if and only if no vertical line intersects the curve more than once.

Which of the following is not a function?

Equation of a circle.

In a class containing 40 students, 10 students liked prune juice, 15 liked apple juice and 7 liked both prune and apple juice. Find how many students were taking neither prune juice nor apple juice.

22

A club of 40 executives, 33 like to smoke Marlboro and 20 like to smoke Philip Morris. How many like both?

13

Define the binary operation on the set of rational numbers as : ab = ab + a - b. Compute for the value of (2*3)*4.

21

Let a,b be two real numbers and define a*b=ab+a+b.

What is the identity element for this operation?

0

Define the binary operation on the set of rational numbers as : ab = ab + a - b. What should be the value of x so that the equation

5*x =0 is true?

-5/4

Define the binary operation in the set of rational numbers as: a* b=ab+a-b

Which of the following properties is satisfied?

I. Closure Property

Il. Commutative Property

III. Associative Property

I only

The binary operation defined as a* b=3a - 2b is closed in all the given sets EXCEPT

set of Natural numbers