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JEE Main Maths Test- 1 - JEE MCQ


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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2024 - JEE Main Maths Test- 1

JEE Main Maths Test- 1 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2024 preparation. The JEE Main Maths Test- 1 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 1 below.
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JEE Main Maths Test- 1 - Question 1

is equal to

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JEE Main Maths Test- 1 - Question 2

Which of the following is true ?

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JEE Main Maths Test- 1 - Question 3

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

JEE Main Maths Test- 1 - Question 4

Polar form of a complex number is

JEE Main Maths Test- 1 - Question 5

 

 is equal to 

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JEE Main Maths Test- 1 - Question 6

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

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JEE Main Maths Test- 1 - Question 7

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

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JEE Main Maths Test- 1 - Question 8

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

JEE Main Maths Test- 1 - 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 ?

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JEE Main Maths Test- 1 - 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

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JEE Main Maths Test- 1 - Question 11

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

JEE Main Maths Test- 1 - 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

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JEE Main Maths Test- 1 - 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 ?

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JEE Main Maths Test- 1 - 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

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JEE Main Maths Test- 1 - 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
      
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JEE Main Maths Test- 1 - 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

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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

JEE Main Maths Test- 1 - Question 17
If n is an integer between 0 and 21, then the minimum value of n!(21–n) ! is
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JEE Main Maths Test- 1 - 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 

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JEE Main Maths Test- 1 - Question 19
The middle term in the expansion of   is
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JEE Main Maths Test- 1 - Question 20

The value of   is 

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

*Answer can only contain numeric values
JEE Main Maths Test- 1 - 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) :-


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*Answer can only contain numeric values
JEE Main Maths Test- 1 - 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 :-


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*Answer can only contain numeric values
JEE Main Maths Test- 1 - 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 :-


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*Answer can only contain numeric values
JEE Main Maths Test- 1 - Question 24

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


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*Answer can only contain numeric values
JEE Main Maths Test- 1 - Question 25

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


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