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Detailed Solution for JEE Main Maths Test- 1 - Question 1

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JEE Main Maths Test- 1 - Question 3

If α is a complex number such that α^{2}+α+1 = 0 then α^{31} 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^{x } 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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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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Detailed Solution for JEE Main Maths Test- 1 - Question 20

*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 |z_{1}| = 1, |z_{2}| = 2, |z_{3}| = 3 and |9z_{1} z_{2} + z_{2} z_{3} + 4z_{1} z_{3}| = 12, then |z_{1} + z_{2} + z_{3}| = ?

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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 (5^{1/12} + 7^{1/18})^{360} is

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