A-AS Level (CIE) Mathematics Paper-1: Specimen Questions with Answers 14 - 17 of 20
Question 14
Question MCQ▾
If , then equals ________
Choices
Choice (4) | |
---|---|
a. | |
b. | |
c. | |
d. | Question does not provide sufficient data or is vague |
Answer
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________
Choices
Choice (4) | |
---|---|
a. | 26 |
b. | 18 |
c. | 22 |
d. | 30 |
Answer
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 |
Answer
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
Choices
Choice (4) | |
---|---|
a. | |
b. | |
c. | |
d. |
Answer
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,