Quiz about CUET Level I JEE Mock Test - 2(Maths)

Question 1

The smallest positive integer n for which $$\left(\frac{1+i}{1-i}\right)^n=1$$ is

Accepted Answer

4

Answer

2

Answer

8

Answer

16

Question 2

Let A = {1,2,3} and B = {3,4,5}, then which of the following can be a relation from A to B ?

Accepted Answer

{(1,3),(2,3),(3,3)}

Answer

{(1,2),(2,3),(3,4),(2,2)}

Answer

{(1,2),(2,3),(1,3)}

Answer

{(1,1),(2,3),(3,4)}

Question 3

The period of f(x) = x - [x] is

Accepted Answer

1

Answer

0

Answer

$$\frac{1}{2}$$

Answer

2

Question 4

If $$\left(\frac{1+i}{1-i}\right)^{3\ }-\left(\frac{1-i}{1+i}\right)^{3^{\ }\ }=x+iy$$ ,then (x , y) is equal to

Accepted Answer

(0,-2)

Answer

(-2,0)

Answer

(0,2)

Answer

(2,0)

Question 5

The Multiplication inverse of 4 - 3i is

Accepted Answer

$$\frac{4}{25}\ +\ \frac{3i}{25}$$

Answer

$$\frac{4}{25}\ -\ \frac{3i}{25}$$

Answer

$$\frac{4}{16}+\frac{3i}{25}$$

Answer

None of these

Question 6

The modulus of $$\frac{1+2i}{1-\left(1-i\right)^2}$$ is

Accepted Answer

1

Answer

$$\sqrt[]{2}$$

Answer

2

Answer

$$\sqrt[]{3}$$

Question 7

The angle between two hands of a clock at quarter past one is

Accepted Answer

( $$\left(52\ \frac{1}{2}\right)^{\degree}$$

Answer

60

Answer

$$\left(\frac{\pi}{6}\right)^c$$

Answer

None of these

Question 8

If $$ an heta=3$$ and $$ heta$$ lies in third quadrant, then the value of $$\sin heta$$ is

Accepted Answer

$$\frac{-3}{\sqrt[]{10}}$$

Answer

$$\frac{1}{\sqrt[]{10}}$$

Answer

$$-\frac{1}{\sqrt[]{10}}$$

Answer

$$\frac{3}{\sqrt[]{10}}$$

Question 9

If the angle between the hands of a clock be $$54^0$$ and the time it reads between 7 and 8 find the time indicate by the clock

Accepted Answer

7:48

Answer

7:30

Answer

7:25

Answer

7:40

Question 10

Which of the following is not a null set ?

Accepted Answer

Set of even prime numbers

Answer

Set of odd natural numbers divisible by 2

Answer

{x : x is a natural number , x < 5 and x >7}

Answer

{y : y is a point common to any two parallel lines }

Question 11

The set of all natural numbers less than 50 is

Accepted Answer

a well defined collection

Answer

a null set

Answer

a singleton set

Answer

not a set

Question 12

The value of $$\sin^6\left(\frac{\pi}{49}\right)+\cos^6\left(\frac{\pi}{49}\right)-1+3\sin^2\left(\frac{\pi}{49}\right)\cos^2\left(\frac{\pi}{49}\right)$$ is equal to

Accepted Answer

0

Answer

$$ an^6\ \left(\frac{\pi}{49} ight)$$

Answer

$$\cot^6\left(\frac{\pi}{49}\right)$$

Answer

1

Question 13

If A = {1,2,3}, B ={3,8} , then (A $$\cup$$ B) $$ imes$$ (A $$\cap$$ B) is equal

Accepted Answer

{(1,3),(2,3),(3,3),(8,3)}

Answer

{(8,3),(8,2),(8,1),(8,8)}

Answer

{(1,2),(2,2),(3,3),(8,8)}

Answer

{(3,1),(3,2),(3,3),(3,8)}

Question 14

If $$x=\sec heta- an heta$$ , $$y=\operatorname{cosec} heta+\cot heta,$$ then y=

Accepted Answer

$$\frac{1+x}{1-x}$$

Answer

$$\frac{1-x}{1+x}$$

Answer

$$\frac{x}{1-x}$$

Answer

$$\frac{x}{1+x}$$

Question 15

The relation R defined on the set A = {1,2,3,4,5} by R={(a,b) : | $$a^2$$ - $$b^2$$ | < 16 } is given by

Accepted Answer

None of these

Answer

{(1,1),(2,1),(3,1),(4,1),(2,3)}

Answer

{(2,2),(3,2),(4,2),(2,4)}

Answer

{(3,3),(4,3),(5,4),(3,4)}

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