ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

Decimal part of irrational number is

• Terminating A
• Repeating only B
• Neither repeating nor terminating C
• Repeating and terminating D

• 
  A
• 
  B
• 
  C
• 
  D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

• -8 A
• 8 B
• 8i C
• 32 D

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

Any whole number can be written as a product of factors which are

• Odd numbers A
• Prime number B
• Rational number C
• Even number D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

• 
  A
• 
  B
• 
  C
• 
  D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

The symbol of irrational is

• W A
• N B
• Q C
• Q' D

• real number A
• complex number B
• rational number C
• irrational number D

• 1 A
• 3 B
• 2-i C
• -1 D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• Reflexive property A
• Symmetric property B
• Transitive property C
• Additive property D

Which element is the additive inverse of (a,b) in Complex numbers

• (a,0) A
• (0,b) B
• (a,b) C
• (-a,-b) D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplication identity D

In R the number of identity elements w.r.t.'.' is

• One A
• Two B
• Three C
• Four D

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

• 
  A
• 
  B
• 
  C
• 
  D

• Principle of equality of Fractions A
• Rule for product of fraction B
• Golden rule of fraction C
• Rule of quotient of Fraction D

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D