ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 1

If a is any real number and a = a is called

• symmetric property A
• Trichotomy Properties B
• Transitive Property C
• Reflexive Properties D

• 
  A
• 
  B
• 
  C
• 
  D

i⁹ =

• i² A
• -1 B
• 1 C
• i D

0.25 is ______

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

24 can be written as a product of

• Odd factors A
• Even factors B
• Whole factors C
• Prime factors D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

• 
  A
• 
  B
• 
  C
• 
  D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 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

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

• 
  A
• 
  B
• 
  C
• 
  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 = -1 C
• X = 2, y = 2 D

The set of rationals numbers between 0 and I is

• Finite A
• Null set B
• Infinite C
• None of these D

There is no element common in

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

• 
  A
• 
  B
• 
  C
• 
  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

∀a,b,c∈R and c>0,then

• a>b ⇒ ac < bc A
• a>b ⇒ ac > bc B
• a<b ⇒ ac > bc C
• None of these D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

1.4142135... is ______

• A natural number A
• A rational number B
• A prime number C
• An irrational number 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 = -1 C
• X = 2, y = 2 D

√11 is

• an irrational number A
• Rational number B
• odd number C
• Negative number D

Any recurring decimal represents a

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

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity 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

√2 is a number

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