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

• 0 A
• 1 B
• -1 C
• None of these D

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

• associative property w.r.t addition A
• commutative property B
• Closure property w.r.t addition C
• Additive identity D

Q∪ Q' =

• Q A
• Q' B
• N C
• R D

The product of complex numbers (a,b) and (c,d) is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

QUQ, =

• N A
• R B
• W C
• Z D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x + 4| = x has solution

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

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

The equation |x +4| = x has solution

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

∀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

• 
  A
• 
  B
• 
  C
• 
  D

Every real number is

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

π is the ration of

• Area of a circle to its diameter A
• Area of a circle to its radius B
• Circumference of a circle to its diameter C
• Circumference of circle to its radius D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

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

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

• 15 A
• 15i B
• -15i C
• -15 D

√25 is a number

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D