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

Every real number is

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

• 1 A
• -1 B
• 
  C
• 
  D

In R the number of identity element w.r.t '+' is

• One A
• Two B
• Three C
• Four 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

The additive inverse of 0 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

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

• 
  A
• 
  B
• 
  C
• 
  D
• 
  E

1.4142135... is ______

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

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

It is not possible to find the exact value of

• π A
• √9 B
• ∛27 C
• √1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of these D

Every real number is

• a positive integer A
• a rational number B
• a negative integer C
• a complex number D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

i is equal

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

Name the property used in 1000 x 1 = 1000

• additive inverse A
• multiplicative inverse B
• additive identity C
• multiplicative identity D

• 
  A
• 1 B
• 
  C
• -1 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

• 
  A
• 
  B
• 
  C
• 
  D

(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

• Commutative property of addition A
• Closure property of addition B
• Additive inverse C
• Associative property w.r.t to adition D

The real number system contains.

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

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

If ∀a,b ε R,then a +b  ε  R is a property

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

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

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

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

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