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

√11 is

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

What is the conjugate of -7 -2i ?

• -7 + 2i A
• 7 +2i B
• 7 -2i C
• √53 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

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

A prime number can be a factor of a square only if it occurs in the square at least

• Once A
• Thirce B
• Twice C
• None of these D

Every prime number is also

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

√-1 b=

• b A
• 2 B
• 2b C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• √5 A
• √7 B
• -1-2i C
• √3 D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x + 4| = x has solution

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

• 0 A
• 1 B
• -1 C
• 2 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

The√ is used for the

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

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

QUQ, =

• N A
• R B
• W C
• Z D

• -3 -2i A
• 3 +2i B
• 1 + 2i C
• 1 - 2i D

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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

• Associate law of addition A
• Commutative law of addition B
• Additive identity C
• Closure law of addition D

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

i is equal

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