ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

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

The set of natural no. is closed under

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

A subset of set of complex number whose elements are of the form (a,0) is called

• Real number A
• Complex number B
• Rational number C
• Irrational number D

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x + 4| = x has solution

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

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

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

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

For each real number, there is a number which is its

• Negative A
• Possitive B
• Opposite C
• Similar D

• Associate law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

• 1 A
• -i B
• i C
• 0 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

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 z = (x,y) , then  z ̅  =

• (-x,y) A
• (x,-y) B
• (-x, -y) C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 1 B
• 
  C
• -1 D

a >b, b >c ⇒a >c is a

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

The equation |x +4| = x has solution

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

The property used in -3 <-2 ⇒0 <1

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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D