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CBSE Questions for Class 11 Commerce Applied Mathematics Number Theory Quiz 7 - MCQExams.com

The number which have only two factors (1 and the number itself) are called as ________.
  • Composite
  • Even
  • Prime
  • None of these
Computers use the .... number system to store data and perform calculations.
  • binary
  • octal
  • decimal
  • hexadecimal
If z1,z2 are two complex numbers such that arg(z1+z2)=0 and Im(z1z2)=0, then.
  • z1=z2
  • z1=z2
  • z1=z2
  • none of these
If z+2|z+1|+i=0 and z=x+iy, then
  • x=2
  • x=2
  • y=2
  • y=1
If z1=3+5i;z2=53i and z is a complex number lying on the line segment joining z1 and z2, then arg(z) can be:
  • 3π4
  • π4
  • π6
  • 5π6
The complex numbers z=x+iy which satisfy the equation
|z5iz+5i|=1 lie on:
  • the x-axis
  • straight line y=5
  • a circle through the origin
  • none of these
Which of the following is not a binary number?
  • 001
  • 101
  • 202
  • 110
The memory of a computer is commonly expressed in terms of Kilobytes or Megabytes. A byte is made up of
  • eight decimal digits
  • eight binary digits
  • two binary digits
  • two decimal digits
What is the byre capacity of a drum which is 5 inch high, 10 inch diameter, and which has 60 tracks per inch and bit density of 800 bits per inch?
  • 942000 bytes
  • 9712478 bytes
  • 192300 bytes
  • 14384 bytes
  • None of the above
What digits are representative of all binary numbers?
  • 0
  • 1
  • Both (a) and (b)
  • 3
  • None of the above
If |z4z|=2 , then the maximum value of|z| is
  • 5
  • 5+1
  • 51
  • 15
If z1,z2,z3 are three points lying on the circle |z| =2, then the minimum value of |z1+z2|2+|z2+z3|2+|z3+z1|2 is equal to
  • 6
  • 12
  • 15
  • 24
An output device that converts data from a binary format in main storage to coded hole patterns punched into a paper tape is?
  • Paper tape punch
  • Punched paper tape
  • Magnetic disk
  • Magnetic tape
  • None of the above
The 2's complement number of 110010 is?
  • 001101
  • 110011
  • 010011
  • All of the above
  • None of the above
Instructions and memory addresses are represented by.
  • Character codes
  • Binary codes
  • Binary word
  • Parity bit
  • None of the above
What is the highest address possible if 16 bits are used for each address?
  • 65536
  • 12868
  • 16556
  • 643897
  • None of the above
Multiplication of 1112 by 1012 is?
  • 1100112
  • 1000112
  • 1111002
  • 0001012
  • None of the above
The 0 and 1 in the binary numbering system are called binary digits or ____________.
  • Bytes
  • Kilobytes
  • Decimal bytes
  • Bits
  • Nibbles
The real and imaginary part of the complex number 1+i where i=1 are
  • 112 and 12 respectively
  • 112 and 12 respectively
  • 1+12 and 12 respectively
  • 1+12 and 12 respectively
Find a complex number z satisfying the equation z+2|z+1|+i=0
  • 2i
  • 2i
  • 2i
  • None of these
If a2+b2=1, then (1+b+ia)(1+bia) is
  • 1
  • 2
  • b+ia
  • a+ib
If |z1|=2, then the value of z¯zz¯z is equal to: 
  • 3
  • 4
  • 3
  • 4
The total number of even prime numbers is?
  • 0
  • 1
  • 2
  • Unlimited
The real part of (1cosθ+2isinθ)1 is?
  • 13+5cosθ
  • 153cosθ
  • 135cosθ
  • 15+3cosθ
If lz2mz1 is purely imaginary number, then |λz1+μz2λz1μz2| is equal to
  • lm
  • λμ
  • λμ
  • 1
The complex number  1+2i1i lies in which quadrant of the compiles plan
  • First
  • Second
  • Third
  • Fourth
In binary synchronous, communication ............code is used by the receiver to check the validity of the message recovered. 
  • OK
  • ACK
  • BCC
  • SOH
Binary number are used because:
  • Decimal system can not be represented on motherboard
  • Binary data needs just 2 wires for the transmission, one for 1 & other for 0
  • Binary data is easier to represent using 'on'(1) & 'off' (0) states of switches.
  • All of these
Which of the following is NOT a binary system?
  • EBCDIC
  • ASCII
  • HEX
  • None of these
..............is a binary synchronous data transmission. 
  • Each bit is sent over a separate wire
  • Sequence numbers are sent in numbered frames
  • Each character is prefixed with DLE
  • Character are used for control purpose
Which are not property of Binary relations
  • reflexive relation, symmetric relation, anti symmetrical relation
  • reflexive, transitive, equivalence relations
  • transitive, partial ordering relation, symmetric
  • reflexive, partial, chain relation
............are the Pentium binary program that can be embedded in a web page. 
  • Servlets
  • Hyperlink
  • Hypertext
  • Active X controls
If Z satisfied   the equation  (Z2Z+2)(ˉZ2ˉZ+2)then minimum, value of|Z|is equal to 
  • 0
  • 2
  • 4
  • 6
If z1∣=2, z2∣=3, z3∣=4 and z1+z2+z3∣=2, then the value of 4z2z3+9z3z1+16z1z2.
  • 24
  • 48
  • 96
  • 120
Evaluate:
(cosπ8isinπ8cosπ8+isinπ8)4
  • 1
  • 1
  • 2
  • 12
|z12z22z1ˉz2|=1 and |z2|1 then the value of |z1| is
  • 4
  • 2
  • 1
  • 12
The complex number x+iy whose modulus is unity, y0, can be represented as x+iy=a+iai,  where a is real number.
  • True
  • False
Simplify (2i1+i)2
  • i
  • 2i
  • 1i
  • 12i
If z1z2 be two distinct complex numbers and let z = (1 - t) z1 + tz2 for some real number t with 0 < t <If arg (ω) denotes the principal argument of a non-zero complex number (ω), then
  • |zz1|+|zz2|=|z2z1|
  • arg(zz1)=arg(zz2)
  • |zz1ˉz¯z1z2z1¯z2¯z1|
  • arg(zz1)=arg(z2z1)
If z is a complex number such that |z3iz+3i|=1 then z lies on?
  • The real axis
  • The line Im(z)=3
  • A circle
  • None of these

Let z be a complex number such that |z+1z|=2

If |z|=r1 and |1z|= r2 for argz=π4 then 

|r1r2|=

  • 12
  • 1
  • 2
  • 2
If z1=1+2i, z2=2+3i, z3=3+4i, then z1, z2 and z3 are collinear.
  • True
  • False
If 2z13z2 is a purely imaginary number,then |z1z2z1+z2|=
  • 3/2
  • 1
  • 2/3
  • 4/9
If z satisfies |z1|<|z+3| then w=2z+3i , ( where w=2z+3i ) satisfies:
  • |w5i|<|w+3i|
  • |w5|<|w+3|
  •  (iw)>1
  • |arg(w1)|<π2
Find the real number x if (x2i)(1+i) is purely imaginary.
  • 2
  • 2
  • 4
  • 4
Real part of  (1+i)23i=
  • 1/5
  • 1/5
  • 1/10
  • 1/10
ilog(xix+i) is equal to
  • 2ilog(xi)ilog(x2+1)
  • 2ilog(xi)+ilog(x2+1)
  • 2ilog(x+i)3ilog(x2+1)
  • 2ilog(xi)ilog(x2+i)
On the complex plane locus of a point z satisfy inequality
2|z1|<3 denotes
  • region between, the concentric circles of radii 3 and 1 centered at (1,0)
  • region between the concentric circles of radii 3 and 2 centered at (1,0) excluding the inner and outer boundaries.
  • region between the concentric circles of radii 3 and 2 centered at (1,0) including the inner and outer boundaries.
  • region between, the concentric circles of radii 3 and 2 centered at (1,0) including he inner boundary and excluding the outer boundary.
The value of 1i+1i2+1i3+...+1i102 is equal to 
  • 1i
  • 1+i
  • 1i
  • 1+i
If i2=1, then 1+i2+i4+i6+i8+.............to(2n+1) terms is equal to
  • 0
  • 1
  • 3i
  • 4i
0:0:2


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers