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

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property D

If a > b or a < b than a = b is a

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

• 1 A
• -i B
• i C
• 0 D

If z = (x,y) , then  z ̅  =

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

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

• √5 A
• √7 B
• -1-2i C
• √3 D

The square root of 2i - 20i is

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

∀ z ∈ C, multipliucative is

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

Every recurring decimal represents

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

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

√2 is a number

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

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

The square root of every incomplete square is an

• Rational numbers A
• Even numbers B
• odd numbers C
• Irrational numbers D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

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

In R, the additive identity is

• 0 A
• 1 B
• -1 C
• None D

i^-(4n+2) = -------------------------------

• 1 A
• i B
• -1 C
• -i D

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

6 is

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

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

Which element is the additive inverse of (a,b) in Complex numbers

• (a,0) A
• (0,b) B
• (a,b) C
• (-a,-b) 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

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

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

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

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist 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

If a and b are real numbers then a+b is also real number this law is called

• associative law of addition A
• closure law of addition B
• Distributive law of addition C
• Commutative law of addition D

• 
  A
• 
  B
• 
  C
• 
  D