All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  Mock Tests for JEE Main and Advanced 2025  >  JEE Main Maths Test- 4 - JEE MCQ

JEE Main Maths Test- 4 - JEE MCQ


Test Description

25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Main Maths Test- 4

JEE Main Maths Test- 4 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Main Maths Test- 4 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 4 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 4 below.
Solutions of JEE Main Maths Test- 4 questions in English are available as part of our Mock Tests for JEE Main and Advanced 2025 for JEE & JEE Main Maths Test- 4 solutions in Hindi for Mock Tests for JEE Main and Advanced 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Main Maths Test- 4 | 25 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mock Tests for JEE Main and Advanced 2025 for JEE Exam | Download free PDF with solutions
JEE Main Maths Test- 4 - Question 1
Save

If  n ≠ 3k and 1 ,ω,ω2 are the cube roots of unity then    has the value

Detailed Solution for JEE Main Maths Test- 4 - Question 1

Del=(1-w^3n)+w^n(0)+w^2n(w^4n-w^n) =1-(w^3)^n+(w^6)^n-(w^3)^n =1-1+1-1 =0

JEE Main Maths Test- 4 - Question 2
Save

If , then its value is equal to

1 Crore+ students have signed up on EduRev. Have you? Download the App
JEE Main Maths Test- 4 - Question 3
Save

x,y,z being +ive equals

JEE Main Maths Test- 4 - Question 4
Save
The roots of the equation  are
JEE Main Maths Test- 4 - Question 5
Save
If the three equations are consistent


, then a =
JEE Main Maths Test- 4 - Question 6
Save

The number of values of k for which the system of equations ( k+1)x + 8y = 4k, kx + (k+3)y = 3k - 1 has inifinitely many solutions is
Detailed Solution for JEE Main Maths Test- 4 - Question 6

For infinitely many solutions the two equation become identical.

JEE Main Maths Test- 4 - Question 7
Save
If   and  , then   is 
JEE Main Maths Test- 4 - Question 8
Save

Let  . Then A is 
JEE Main Maths Test- 4 - Question 9
Save

IF B is a non-singular matrix and A is a square matrix, then  det (B-1 AB)
Detailed Solution for JEE Main Maths Test- 4 - Question 9

JEE Main Maths Test- 4 - Question 10
Save

 will be equal to 
Detailed Solution for JEE Main Maths Test- 4 - Question 10

JEE Main Maths Test- 4 - Question 11
Save
The sum of the series is 
JEE Main Maths Test- 4 - Question 12
Save
The sum of the series is 
JEE Main Maths Test- 4 - Question 13
Save
 is equal to
JEE Main Maths Test- 4 - Question 14
Save
 is equal to 
JEE Main Maths Test- 4 - Question 15
Save

Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
JEE Main Maths Test- 4 - Question 16
Save

Seven chits are numbered 1 to 7. Three are drawn one by one with replacements. The probability that the least number on any selected chit is 5, is
JEE Main Maths Test- 4 - Question 17
Save

A student appear for tests I,II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I,II and III are p,q and 1/2 respectively. If the probability that the student is successful is 1/2, then
JEE Main Maths Test- 4 - Question 18
Save

Words from the letters of the word PROBABILITY are formed by talking all at a time.The probability that both B’s are together & both I’s are together is
JEE Main Maths Test- 4 - Question 19
Save

The probability that a person will hit a target in a shooting practice is 0.3. If the shoots 10 times, the probability that he hit the target is
JEE Main Maths Test- 4 - Question 20
Save

The probability that Krishna will be alive 10 years hence is 7/15 and that Hari will be alive is 7/10. What is the probability that both Krishna and Hari will be dead 10 years hence
*Answer can only contain numeric values
JEE Main Maths Test- 4 - Question 21
Save

Value of  is

Detailed Solution for JEE Main Maths Test- 4 - Question 21

Value of odd order skew symmetric determinant

*Answer can only contain numeric values
JEE Main Maths Test- 4 - Question 22
Save

If  then value of (a + b) = ?

Detailed Solution for JEE Main Maths Test- 4 - Question 22

*Answer can only contain numeric values
JEE Main Maths Test- 4 - Question 23
Save

Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exactly one girl and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to?

Detailed Solution for JEE Main Maths Test- 4 - Question 23

P(boy and his sister both are selected)

∴  Required probability
= 1 – 1/15 = 14/15 = 0.93

*Answer can only contain numeric values
JEE Main Maths Test- 4 - Question 24
Save

The probability that the 13th day of a randomly chosen month is a Friday, is?

Detailed Solution for JEE Main Maths Test- 4 - Question 24

Probability of selecting a month = 1/12.
13th day of a randomly selected month is Friday if its first day is Sunday.
Probability of this event = 1/7.
Hence required probability  = 0.01

*Answer can only contain numeric values
JEE Main Maths Test- 4 - Question 25
Save

If two integers m and n are chosen at random from 1 to 100 then the probability that a number of the form 7m + 7n is divisible by 5 equals:

Detailed Solution for JEE Main Maths Test- 4 - Question 25

Since m and n are selected between 1 and 100, hence sample space = 100 × 100
Also, 71 = 7,  72 = 49, 73 = 343, 74 = 2401,
75 = 16807 etc. Hence 1, 3, 7 and 9 will be the last digits in the powers of 7.
n, m →
↓
1,1       1,2       1,3 ...........       1, 100
2,1       2,2       2,3 ...........       2, 100
...........................................
100, 1  100,2   100, 3.........     100, 100
For m = 1 ; n = 3, 7, 11, ...... 97
∴ Favourable cases =  25
For m = 2, n = 4, 8, 12, ......., 100
∴  Favourable cases =  25
Similarly for every m, favourable n are 25.
∴  Total favourable cases  = 100 × 25
Hence required probability = 

357 docs|148 tests
Join Course
Information about JEE Main Maths Test- 4 Page
In this test you can find the Exam questions for JEE Main Maths Test- 4 solved & explained in the simplest way possible. Besides giving Questions and answers for JEE Main Maths Test- 4, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for JEE Main Maths Test- 4

Find all the important questions for JEE Main Maths Test- 4 at EduRev.Get fully prepared for JEE Main Maths Test- 4 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the JEE Main Maths Test- 4 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of JEE Main Maths Test- 4 resources.

JEE Main Maths Test- 4 MCQs with Answers

Prepare for the JEE Main Maths Test- 4 within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for JEE Main Maths Test- 4 Mock Tests for JEE Main and Advanced 2025

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace JEE Main Maths Test- 4 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup