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NDA || Mathematics || Mini_Mock_2

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Question 1

What is equal to?

Question 2

What is equal to?

Question 3

Question 4

The value of  where a + b = 0 is

Question 5

If  are two non zero complex numbers such that  and arg( + arg () =  then  equals

Question 6

Find the multiplicative inverse of z such that z =

Question 7

Geometrically  where  and Re is the real part, represents

Question 8

If 1, w, w2 are the cube roots of unity, then is equal to

Question 9

A committee of two persons is constituted from two men and two women. What is the probability that the committee will have only women?

Question 10

A question is given to three students A, Band C whose chance of solving it are and  respectively. What is the probability that the question will be solved?

Question 11

For two dependent events Aand B, it is given that and . If ,then the values of conditional probabilities and  are respectively

Question 12

A point is chosen at random inside a circle. What is the probability that the point is closer to the centre of the circle than to its boundary?

Question 13

The maximum and minimum values of , are

Question 14

The products of the roots of the equation , is

Question 15

If equation  and  have both roots common then find the value of  ?

Question 16

Find the value of k for which the following equations has more than two roots :

Question 17

In  If  and  are the roots of the equation  then which one of the following is correct?

Question 18

Let A and Bare two mutually exlusive events with and .What is the value of ?

Question 19

The integration of the function  is,

Question 20

What is the order of the differential equation ?
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Oct 30CDS & Defence