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This mock test of Mathematics Test 4 - Matrices And Determinants, Probability, Indefinite Integration for JEE helps you for every JEE entrance exam.
This contains 30 Multiple Choice Questions for JEE Mathematics Test 4 - Matrices And Determinants, Probability, Indefinite Integration (mcq) to study with solutions a complete question bank.
The solved questions answers in this Mathematics Test 4 - Matrices And Determinants, Probability, Indefinite Integration quiz give you a good mix of easy questions and tough questions. JEE
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QUESTION: 1

If n ≠ 3k and 1 ,ω,ω^{2} are the cube roots of unity then has the value

Solution:

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

QUESTION: 2

If , then its value is equal to

Solution:

QUESTION: 3

x,y,z being +ive equals

Solution:

QUESTION: 4

The roots of the equation are

Solution:

QUESTION: 5

If the three equations are consistent

, then a =

Solution:

QUESTION: 6

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

Solution:

For infinitely many solutions the two equation become identical.

QUESTION: 7

If and , then is

Solution:

QUESTION: 8

Let . Then A is

Solution:

QUESTION: 9

IF B is a non-singular matrix and A is a square matrix, then det (B^{-1} AB)

Solution:

QUESTION: 10

will be equal to

Solution:

QUESTION: 11

The sum of the series is

Solution:

QUESTION: 12

The sum of the series is

Solution:

QUESTION: 13

is equal to

Solution:

QUESTION: 14

is equal to

Solution:

QUESTION: 15

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.

Solution:

QUESTION: 16

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

Solution:

QUESTION: 17

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

Solution:

QUESTION: 18

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

Solution:

QUESTION: 19

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

Solution:

QUESTION: 20

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

Solution:

QUESTION: 21

The probabilities of solving a problem by three students A,B,C are 1/2, 1/3,1/4 respectively. The probability that the problem will be solved is

Solution:

QUESTION: 22

If A & B are independent events,then P(A ∩ B) equals

Solution:

QUESTION: 23

The probability that at least one of the events A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then

Solution:

QUESTION: 24

**The probability of a man hitting a target is 3/4. He tries 5 times. The probability that the target will be hit at least 3 times, is**

Solution:

QUESTION: 25

Solution:

QUESTION: 26

The value of

Solution:

QUESTION: 27

is equal to

Solution:

QUESTION: 28

If , then A^{2} + 2A equals

Solution:

QUESTION: 29

The inverse of a symmetric matrix is a matrix which is

Solution:

QUESTION: 30

If a, b and c are non-zero real numbers, then is equal to

Solution:

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