First Year Mathematics Chapter 1 Online MCQ Test for 1st Year Mathematics Chapter 1 (Number Systems)

Every real number is also a/an:

• integer A
• rational number B
• irrationalnumber C
• complexnumber D

The additive inverse of a real number is a:

• 0 A
• -a B
• a C
• 
  D

π, e are:

• integers A
• natural numbers B
• rationalnumbers C
• irrationalnumbers D

• integer A
• rationalnumber B
• irrationalnumber C
• naturalnumber D

i² + 1 =

• -1 A
• 0 B
• i C
• 1 D

• additive property A
• multiplicative inverseproperty B
• transitive property C
• negative property D

The set of negative integers is closed with respect to:

• addition A
• multiplication B
• both (a) and (b) C
• subtraction D

• rational number A
• irrational number B
• natural number C
• whole number D

If z₁ = 4i and z₂ = 3 - 9i, then z₁ + z₂ =

• 3 - 5i A
• 3i - 5 B
• 7 - 9i C
• 3 + 5i D

• real numbers A
• complexnumbers B
• primenumbers C
• oddnumbers D

Multiplicative inverse of -i is:

• i A
• -i B
• 1 C
• -1 D

Conjugate of a- i b is:

• b + ia A
• -a + ib B
• -a - ib C
• a + ib D

Product of a complex number and its conjugate is:

• a real number A
• irrationalnumber B
• a complexnumber C
• either real number or complexnumber D

• x = 0 A
• y = 0 B
• x = 0 and y = 0 C
• x = 0 or y = 0 D

The imaginary part of the complex number a + bi is:

• a A
• b B
• bi C
• none of these D

• Additive property A
• Multiplicativeproperty B
• Reflexiveproperty C
• Transitive property D

If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

• tan Θ A
• cos²Θ + sin²Θ B
• r C
• Θ D

• closureproperty A
• associativeproperty B
• commutativeproperty C
• trichotomyproperty D

• 
  A
• archimedean property B
• transitive property C
• multiplicative property D

Modulus of 15 i + 20 is:

• 20 A
• 15 B
• 25 C
• none of the above D