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

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

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

√x = ______ if is a prime number

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

• A rational number A
• A natural number B
• An irrational number C
• An integer D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

Associative law of multiplication

• ab - ba A
• a(bc) = (ab) c B
• a(b + c) = ab +ac C
• (a +b)c = ac + bc D

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

• 36 + (-32)i A
• -36 + 32i B
• 6 + (-11)1 C
• 0, +(-12)i D

0 (zero) is

• An irrational number A
• A rational number B
• A negative integer C
• A positive number D

• N A
• r B
• 2r C
• π D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of above D

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

In (x + iy), y is called as

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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

The conjugate of √5 i is

• √5 A
• -√5 i B
• i C
• 5i D

• 
  A
• 
  B
• 
  C
• 
  D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• A positive integer A
• A negative integer B
• A natural number C
• An irrational number D

if Z1 = 1+i, Z2= 2+3i, then |Z2 -Z1| =

• √3 i A
• √7 B
• -2-i C
• √5 D

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

√25 is a number

• Rational A
• Irrational B
• Natural C
• Odd D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

(a+bi) - (c+di)=

• (a+b) = (c+d) A
• (a+c) + i(b+d) B
• (a - c) + (c- d)i C
• (a - c)+ (b - d)i D