ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

Decimal part of irrational number is

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

If Z = (1,2), then Z^-1= ?

• (0.2, 0.4) A
• (-0.2, 0.4) B
• (0.2, -0.4) C
• (-0.2, -0.4) D

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

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

If ∀a,b ε R,then a +b  ε  R is a property

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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number D

The multiplicative inverse ofx^(-1) is

• x A
• a-2 B
• 0 C
• 1 D

• 
  
  
  A
• 
  B
• 
  C
• 
  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

• Closure law of addition A
• Associative law of addition B
• Commutative law of multiplication C
• Associative law of multiplication D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

π is ______

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

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

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

(a +bi) -c (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

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

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

• Associative property of addition A
• Associative property of multiplication B
• Additive identity C
• Multiplicative identity D

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

The equation |x + 4| = x has solution

• x = -2 A
• x = 2 B
• x = -4 C
• x = 4 D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

In R the right cancellation property w.r.t. addition is

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

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

1/3 is ______

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

a >b ⇒a +c >b +c is known as

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

In (x +iy) y is called as

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