A-AS Level (CIE) Mathematics Paper-1: Specimen Questions with Answers 1 - 4 of 20

Question 1

Answer

b.

Explanation

Now and are two sets

We using the Venn diagram,

From (1) & (2)

Hence, the correct answer is () .

Question 2

Answer

c.

Explanation

Given,

OR

OR

But

Question 3

Answer

c.

Explanation

Total number of functions

Number of constant functions

which are not on to

Number of onto function from to are

Question 4

Answer

b.

Explanation

Intersection of Sets

The intersection of two sets and which are subsets of the universal set , is the set which consists of all those elements which are common to both and .

It is denoted by symbol. All those elements which belong to both and represent the intersection of and . Thus, we can say that,

Given &

&

From the set given we can say that,

Similarly, for

From the above equations, we can conclude that

set of positive multiples of

set of positive multiples of

Where set of positive multiples of

But and are relatively prime numbers

Therefore, for to exist it should be the product of the and as any number can only be a multiple of two different prime numbers if and only if the when both the prime numbers are multiplied with each other.

i.e.. ,