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

The identity element with respect to addition is:

• 0 A
• 1 B
• -1 C
• 0 and 1 D

Which of the following is correct:

• 2 + 7i > 10 + i A
• 1 + i > 1 - i B
• 4 + 3i > 1 + 3i C
• none of these D

The additive inverse of a real number is a:

• 0 A
• -a B
• a C
• 
  D

Conjugate of a + i b is:

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

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

Modulus of 15 i + 20 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

Rational numbers are:

• repeating decimals A
• terminatingdecimals B
• periodicdecimals C
• all of these D

The set of negative integers is closed with respect to:

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

i² + 1 =

• -1 A
• 0 B
• i C
• 1 D

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

• closure property w.r.t multiplication A
• commutativeproperty w.r.t multiplication B
• associativeproperty w.r.t multiplication C
• trichotomy property D

• 0 A
• i B
• -i C
• 1 D

Division of a natural number by another natural number gives:

• always a natural number A
• always an integer B
• always a rationalnumber C
• always an irrational number D

The ordered pairs (2, 5) and (5, 2) are:

• not equal A
• equal B
• disjoint C
• empty D

The set of all rational numbers between 2, 3 is:

• an empty set A
• an infinite set B
• a finite set C
• a power set 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

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

Zero is:

• a natural number A
• a whole number B
• a positive integer C
• a negativeinteger D

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

• b A
• -b B
• a C
• -a D