## Friday, 2 December 2016

### 1: Number System MCQs

#### Chapter 1: Number System Notes

1)                                      A real number system contains
a)                                                                                                                  Positive numbers                     b)         Negative numbers
c)         Zero                                         d)         (option a, b and c)
2)                                      Rational number is a number which can be written as a terminating decimal fraction or a
a)                  Non-terminating decimal fraction
b)                  Non-recurring
c)                  Recurring decimal fraction
d)                 a, b and c
3)                                      There is no element common in
a)                                                                                                                  N and W                                  b)         E and W
c)         N and O                                  d)        Q and Q
4)                                      The decimal fraction in which we have finite number of digits in its decimal part is called a
a)                                                                                                                  Recuring decimal fraction       b)         Non terminating fraction
c)         Non recurring fraction            d)         Terminating decimal fraction
5)                                      It is not possible to find the exact value of
b)         9
c)          3 27                                        d)            1
6)                                      Sum of two real numbers is also a real number, this property is called:
1
7)                                      If a x      = 1 then this property is called  a
a)                                                                                                                  Multiplicative identity             b)         Multiplicative inverse
c)         Additive identity                    d)         Associative property
8)                                      1 is not a
a)                                                                                                                  Real number               b)         Natural number
c)         Prime number                          d)         Whole number

10)                                  There exist no rational number x, such that
a)                                                                                                                  x2 = 4                          b)         x = 9
c)         x2 = 2

11)                                  If P is a whole number greater than 1, which has only P and I are factors. Then P is called
a)                                                                                                                  Whole number                         b)         Prime number
c)         Even numbers                         d)        Odd number
12)                                  24 can be written as a product of
a)                                                                                                                  Odd factors                             b)         Even factors
c)         Whole factors                          d)         Prime factors
13)                                  Which of the following, has closure property w.r.t. addition
a)                                                                                                                  {1}                                          b)         {1, 2}
c)         {0}                                          d)         {1, 1}
14)                                  If a < b, and c < 0, then
a)                                                                                                                  ac = bc                                     b)         ac = 0
c)         a > b                                        d)         a < b
15)                                  If 0 < a < b, then
a)                                                                                                                  b = 0                            b)         a + b = 0
c)          1 1                          c)         1 1 a b          a          b
16)                                  If a < b, and c < 0, then
a)                                                                                                                  ac = bc                                     b)         ac bc
c)         ac bc                                    d)         ac > bc
17)                                  For any a R
a)                                                                                                                  a2 > 0                          b)         a2 < 0
c)         a2 0                                       d)         a2 0
18)                                  For all a, b, c, R and a = b ac = bc ca = cb. This property is called
a)                                                                                                                  Multiplicative inverse              b)         symmetric property
c)          Multiplicative property           d)        Identity element
19)                                  For all a, b R, and a = b b = a, this property is called
a)                                                                                                                  Reflexive property                  b)         Multiplicative property
c)         Additive property                   d)         Symmetric property
20)                                  Any real number can be written in the form of a
a)                                                                                                                  Natural number                       b)         Complex number
c)         Rational number                      d)         Irrational number
21)                                  In a complex number x + iy, y is called
a)                                                                                                                  real number                              b)         imaginary number
c)         even number                            d)        odd number
22)                                  Any real number x =
a)                                                                                                                  (0,x)                                         b)         (0 + xi)
c)         (x, 0)                                        d)         (x + i)
23)                                  In the algebra of real numbers we can replace-1 with
a)                                                                                                                  i                                               b)         i2
c)         |1|                                          d)         1
24)                                  The multiplicative identity for the set of a complex number is
a)                                                                                                                  (0, 1)                            b)         (1, 0)
c)         (1 , 1)                                       d)         (, 0)
25)                                  If z1 = x1 + iy1, and z2 = x2 + iy2, then z1z2
a)                                                                                                                  (x1x2 – y1y2, x1y2 + y1x2)          b)         (a1 + a2 b1 + b2)
c)         (a1a2 – b1b2)                             d)         (x1y2 b1b2)
26)                                  If z = (x , 0) and z lies on OX where x > 0 then
a)                                                                                                                                                               b)
2
c)                                                      d)        
2
27)                                  Product of a complex number with its own conjugate is a
a)                                                                                                                  Prime number             b)         Imaginary number
c)         real number                             d)         real and imaginary numbe r
28)                                  Which of the following has the same value as i63.
a)                                                                                                                  1                    b)         1          c)         i                                   d) i
29)                                  I i2
a)                                                                                                                  I                                               b)         i
c)         I                                            d)         0

34)                                  The equation |z + I| = 2, represents a
a)                                                                                                                  triangle                                    b)         ellipse
c)         square                                      d)         circle

38)                                  One of the factor of 9x2 + 25y2 over the complex number is
a)                                                                                                                  3x + 5y                                    b)         5x – 5y
c)         3x + 5i                                     d)         3x + 5iy
39)                                  Argument of a complex number is
a)                                                                                                                  unique quantity                       b)         not a unique quantity
c)         real number                             d)         a rational number
40)                                  r is called the
a)                                                                                                                  amplitude                                b)         argument