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

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

Every real number is

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

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

What is the conjugate of -6 -i

• -6 +i A
• 6 + i B
• -6 -i C
• 6 -i D

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

• 
  A
• 
  B
• 
  C
• 
  D

∀ z ∈ C, multipliucative is

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

Any recurring decimal represents a

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

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

• √3 i A
• √7 B
• -2-i C
• √5 D

The√ is used for the

• Positive square root A
• Negative square root B
• +ve and -ve square root C
• Whole number D

The multiplicative inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 1 D

24 can be written as a product of

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

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

a >b, b >c ⇒a >c is a

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

The set of natural no. is closed under

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

i =

• 
  A
• 
  B
• 
  C
• 
  D

The real number system contains.

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

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

In (x + iy), y is called as

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

• 
  A
• 
  B
• 
  C
• 
  D

• A positive integer A
• A negative integer B
• A natural number C
• An irrational number D

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

Every recurring decimal represents

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