A-AS Level (CIE) Mathematics Paper-1: Specimen Questions with Answers 14 - 17 of 20

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Question 14

Question

MCQ▾

If , then equals ________

Choices

Choice (4)

a.

b.

c.

d.

Question does not provide sufficient data or is vague

a.

Explanation

Combination Formula

Also,

gives

Question 15

Question

MCQ▾

Six x՚s are to be placed in the square of the figure given below such that each row contains at least one the number of ways this can be done is________

Choice (4)

a.

26

b.

18

c.

22

d.

30

a.

Explanation

Combination Formula:

Way 1

Here 6 x՚s can be placed in squares in ways

Now, two squares of first and third rows are empty

Total number of arrangements are ways

Way 2

Here Row , has 2, has 4 and has 2 squares

Arrangement can be as:

Or

Or

Or

Number of selections are

Question 16

Question

MCQ▾

If are complex numbers and then________

Choices

Choice (4)

a.

b.

c.

d.

Question does not provide sufficient data or is vague

b.

Explanation

The Principal Argument

The principal value of a complex number is normally given by

,

Let

Also, (Given)

Question 17

Question

MCQ▾

Two finite sets have and element respectively. The total number of subsets of first set is more than the total number of subsets of the second set. The value of and respectively are

Choice (4)

a.

b.

c.

d.

a.

Explanation

Subset

Set is said to be a subset of Set if all the elements of Set are also present in Set . In other words, set is contained inside Set .

; which means Set is a subset of Set

Number of subsets of first set Number of subsets of second set

Number of subsets of first set

Number of subsets of second set

Therefore, comparing both sides

Hence,

Hence,

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