ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

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

(7,9) +(3,-5) =

• (4,4) A
• (10,4) B
• (9,-5) C
• (7,3) D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The value of x and y when (x + iy)2 = 5 - 4i

• x = 2, y = -1 A
• x = -2, y = 1 B
• x = 2, y = -i C
• x = 2, y = 2 D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

π is ______

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

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

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

The square root of 2i - 20i is

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

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

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

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

Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

• Fractinal numbers A
• Rational Numbers B
• Even Numbers C
• Whole Numbers D

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of natural no. is closed under

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

Every real number is

• A complex number A
• A rational number B
• A natural number C
• A prime number D

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

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

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

i is equal

• (1 , 0) A
• (0 , 1) B
• (1 , 1) C
• (0 , 0) D

If P is a whole number greater than 1, which has only P and I are factors. Then P is called

• Wholw number A
• Prime number B
• Even number C
• Odd number 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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

The property used in -3 <-2 ⇒0 <1

• Commutative property A
• Additive property of inequality B
• Additive inverse C
• Additive identity D

• x A
• 
  B
• y C
• 
  D