ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

a >b, b >c ⇒a >c is a

• Multiplicative property A
• Additive property B
• Trichotomy property C
• Transitive property of inequality D

∀x,y,z ∈ R and z 0,then

• x > y ⇒ xz > yz A
• x<y ⇒ xz < yz B
• x < y ⇒ xz > yz C
• None of these D

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

• Associative property A
• Identity property B
• Commutative property C
• Closure property w.r.t multiplication D

3/2 is

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

• Principle of equality of fractions A
• Rule for product of fractions B
• Golden rule for fractions C
• Rule for quotient of fractions D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 4 is

• -4 A
• -1/4 B
• 1/4 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

For any real numbers x,y,xy=o ⇒

• x ≠ 0 ∧ y ≠ 0 A
• x = 0 ∨ y = 0 B
• x = 0 C
• y = 0 D

a >b ⇒a +c >b +c is known as

• Trichotomy property A
• Additive property of inequality B
• Transitive property C
• Multiplicative property 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

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

2.333....is a

• Irrational no A
• Complex no B
• Rational no C
• None of these D

• Principle of equality of fractions A
• Rule for product of fraction B
• Rule for quotient of fraction C

• Closure law of addition A
• Associative law of addition B
• Additive inverse C
• Additive identity D

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

The square root of 2i - 20i is

• ±(5 - 2i) A
• ±(5+ 2i) B
• (5 - 2i) C
• None of these D

QUQ'

• 
  A
• 
  B
• 
  C
• 
  D

• additive property A
• multiplicative property B
• additive identity C
• multiplicative identity D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

In (x +iy) y is called as

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

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 100 + 0 = 100

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D