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# Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality

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## 25 Questions MCQ Test JEE Main & Advanced Mock Test Series | Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality for JEE 2022 is part of JEE Main & Advanced Mock Test Series preparation. The Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality questions and answers have been prepared according to the JEE exam syllabus.The Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality below.
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Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 1

### is equal to

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 1

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 2

### Which of the following is true ?

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 2

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 3

### If α is a complex number such that  α2+α+1 = 0 then α31  is equal to

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 4

Polar form of a complex number is

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 5

is equal to

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 5

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 6

. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 6
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 7

Number of non-zero integral solution of the equation  |1-i|x = 2 is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 7
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 8

The number in the form z = a + bι where a, b ∈ R and i = √−1 is called a

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 9

In how many ways 7 men and 7 women can be seated around a round table such that no two women can sit together ?

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 9

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 10

There are (n + 1) white and (n + 1) black balls, each set numbered 1 to n + 1. The number of ways the balls can be arranged in a row so that adjacent balls are of different colors, is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 10

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 11

In z = a + bι, if i is replaced by −ι, then another complex number obtained is said to b

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 12

The sum of the digits at the unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 12

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 13

How many different nine digit numbers can be formed from the number 223355888 be rearranging its digits so that odd digits occupy even positions ?

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 13

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 14

Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letters. Then the number of words which have at least one letters repeated is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 14

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 15
The straight lines  are parallel and lie in the same plane. A total number of m points are taken on  points on  k points on  The maximum number of triangles formed with vertices of these points are

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 15
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 16

Six ‘X’s have to be placed in the squares of the figure given below such that each row contains at least one ‘X’. The number of ways in which this can be done is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 16

Number of ways of placed six X's in 8 squares

Here two squares of first and third row are empty

.. Required arrangements = 28 - 2 = 26

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 17
If n is an integer between 0 and 21, then the minimum value of n!(21–n) ! is
Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 17
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 18

If the ratio of the 7th term from the beginning to the 7th term from the end in the expansion of

is 1/6, then x is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 18

Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 19
The middle term in the expansion of   is
Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 19
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 20

The value of   is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 20

14C1 + 14C3 + 14C5 +.......14C11
For odd numbers : 2(n-1)
213 -14

*Answer can only contain numeric values
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 21

By using 2, 4, 5, 7, 8, 9. How many three digit numbers are formed in form xyz when x < y and z < y (Repition not allowed) :-

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 21

*Answer can only contain numeric values
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 22

If sum of the coefficient of the first, second and third terms of the expansion of is 46, then the coefficient of the term that does not contain x is :-

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 22

*Answer can only contain numeric values
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 23

If area of triangle formed by z, ωz and z + ωz is 16√3 square units (where ω is complex cube root of unity) the |z| is equal to :-

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 23

*Answer can only contain numeric values
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 24

If |z1| = 1, |z2| = 2, |z3| = 3 and |9z1 z2 + z2 z3 + 4z1 z3| = 12, then |z1 + z2 + z3| = ?

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 24

*Answer can only contain numeric values
Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 25

Total number of rational terms in expansion of (51/12 + 71/18)360 is

Detailed Solution for Maths Test 1 - Complex Number, Binomial Theorem, Permutation And Combination, Linear Inequality - Question 25

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## JEE Main & Advanced Mock Test Series

2 videos|324 docs|160 tests