Loading [MathJax]/jax/element/mml/optable/GeneralPunctuation.js

CBSE Questions for Class 11 Commerce Applied Mathematics Number Theory Quiz 3 - MCQExams.com

Which one of the following is not a prime number?
  • 31
  • 61
  • 71
  • 91
What is the modulus of 2+i2i where i=1
  • 3
  • 12
  • 1
  • None of the above
If cos(logi4i)=a+ib, then
  • a=1,b=1
  • a=1,b=1
  • a=1,b=0
  • a=1,b=2
Which of the following numbers is prime?
  • 119
  • 187
  • 247
  • 179
(7×11×13+13) is a/an
  • Composite number
  • Prime number
  • Irrational number
  • Imaginary number.
The reciprocal of the smallest prime number is _______.
  • 0
  • 12
  • 1
  • 2
Which of the following is not a prime number?
  • 23
  • 29
  • 43
  • 21
Instructions and memory address are represented by 
  • Character code
  • Binary codes
  • Binary word
  • parity bit
Bit stands for
  • Binary digits
  • bit of system
  • a part of byte
  • All of above
A byte is made up of
  • Eight bytes
  • Eight binary digits
  • Two binary digits
  • Tow decimal points
The roots of the equation (z+αβ)3=α3 represent the vertices of a triangle, one of whose sides is of length
  • 3|αβ|
  • 3|α|
  • 3|β|
  • None of these
How many options doe a BINARY choice offer
  • None
  • One
  • Two
  • it depends on the amount of memory on the computer
  • It depends on the speed of the computer's processor
Which number system is usually followed in a typical 32-bit computer?
  • Binary
  • Decimal
  • Hexadecimal
  • Octal
Put the following in the form of A + iB :
(32i)(2+3i)(1+2i)(2i)
  • 34+94i
  • 63251625i
  • 54+94i
  • 14+74i
............... code is used to implement data transparency in the binary synchronous protocol.
  • DLE
  • NAK
  • EOH
  • EOT
The number 111111111 is a
  • Prime number
  • Composite number
  • Divisible by 10719
  • None of these
In the complex numbers, where i=1, the conjugate of any value a+bi is aib. What is the result when you multiply 2+7i by its conjugate?
  • 45
  • 45
  • 45i
  • 53
  • 53i
Evaluate:
|(1+i)(2+i)(3+i)|= ?
  • 12
  • 12
  • 1
  • 1
If (1+i)20=a+ib, then the values of a and b are
  • a=210,b=210
  • a=210,b=0
  • a=210,b=0
  • none of these
The maximum value of |3z+97i|if|z+2i|=5is
  • 20
  • 15
  • 25
  • 5
Find the modulus of the complex number 2+23i.
  • 2
  • 4
  • 6
  • 8
Find the which of the complex number has greatest modulus.
  • 75i
  • 3+2i
  • 8+15i
  • 3(1i)
If z1z+1 is purely imaginary then 
  • |z|=1
  • |z|>1
  • |z|<1
  • |z|<2
 For any complex number z the minimum value of |z|+|z2013i| is...
  • 2010
  • 2011
  • 2013
  • 2012
If z=x+iy(x,yϵR,x1/2), the number of values of z satisfying |z|n=z2|z|n2+1.(nϵN,n>1)is
  • 0
  • 1
  • 2
  • 3
Which of the following is true
  • (3+5)(35)=14
  • (2+3)(3+23)=73i
  • (2+3i)2=(5+12i)
  • (57i)2=44145i
z1 and z2 are two non-zero complex numbers such that |z1|=|z2| and argz1+argz2=π, then z2 equals 
  • ¯z1
  • ¯z1
  • z1
  • z1
If z=1+i3,|arg(z)|+|arg(¯z)|
  • π3
  • 2π3
  • 0
  • π2
If α and β are real then |α+iββ+iα|= 
  • Lies betwen 0 and 1
  • = 1
  • >1
  • 2
If arg (Z1+Z2)=0 and |z1|=|z2|=1. then.
  • z1+z2=0
  • z1¯z2=1
  • z1=¯z2
  • none
The value of (1+i)5×(1i)5 is
  • 8
  • 8i
  • 8
  • 32
How many two-digit prime numbers are there having the digit 3 in their units place?
  • 10
  • 8
  • 6
  • 5
Argument and modulus of [1+i1i]2013 are respectively ____
  • π2 and 1
  • π2 and 2
  • 0 and 2
  • π2 and 1
 If z1=3i,z2=1+i3, then amp(z1+z2)= 
  • π12
  • π15
  • π6
  • π4
If z=1+2i12i  and.consider z=x+iy then which of the following relationship is correct:
  • x2+y2=1
  • x2+y2=4
  • x2+y2=2
  • x2+y2=3
Find the least positive value of n, if (1+i1i)n=1
  • 1
  • 2
  • 3
  • 4
Inequality  a+ib>c+id  can be explained only when :
  • b=0,c=0
  • b=0,d=0
  • a=0,c=0
  • a=0,d=0
If z1=3+4iz2=45i Then find z1+z2
  • 7-i
  • 7+i
  • 7+9i
  • None of these
If z1=3+4i,z2=2i find z2z1
  • -1-5i
  • 2-5i
  • 1+5i
  • 1-5i
The complex numbers z1=8+9i,z2=46i then z1z2
  • 4+15i
  • 43i
  • 12+3i
  • 1215i
If z is a complex number such that |z|=1, then |1ˉz| is 
  • 0
  • 1
  • 2
  • 1
The sum of prime numbers, out of the numbers 17,8,21,13,41,2,27,31,51 is:
  • 125
  • 102
  • 104
  • 155
If z1=4+i,z2=4i find z1z2
  • 17
  • 16
  • 17i
  • 16i
z1=9+8i   |z|=
  • 145
  • 163
  • 117
  • 137
Mark against the correct answer in each of the following .
i38=?
  • i
  • i
  • 1
  • 1
Mark against the correct answer in each of the following .
i75=?
  • 1
  • 1
  • i
  • i
Mark against the correct answer in each of the following .
i124=?
  • 1
  • 1
  • i
  • i
If (x+iy)(23i)=4+i(12) then x+y=
  • 32
  • 12
  • 0
  • 23
In the complex numbers, where i2=1, what is the value of 5+6i multiplied by 32i?
  • 27
  • 27i
  • 27+8i
  • 15+8i
  • 1518i
If m1m2m3 and m4 respectively denote the moduli of the complex numbers 1 + 4i, 3 + i, 1 – i \ and\  2 – 3i then the correct order among the following is :
  • m_1<m_2<m_3<m_4
  • m_4<m_3<m_2<m_1
  • m_3<m_2<m_4<m_1
  • m_3<m_1<m_2<m_4
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers