ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

(a+bi) - (c+di)=

• (a+b) = (c+d) A
• (a+c) + i(b+d) B
• (a - c) + (c- d)i C
• (a - c)+ (b - d)i D

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

Name the property used in 4 + 9 = 9 + 4

• Associative property of addition A
• Commutative property of addition B
• Distributive property C
• Additive identity 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 complex number A
• A rational number B
• A natural number C
• An irrational number D

∀x,y∈ R and x < 0, y < 0, which one is true 

• xy < o A
• xy = o B
• xy > o C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative identity is

• 0 A
• 1 B
• -1 C
• None D

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

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

∀x, y ∈ R, either x = y or x > y or x < y is

• Transitive property A
• Reflexive property B
• Trichotomy property C
• None of these D

Name the property used in 4.1 + (-4.1) = 0

• Additive inverse A
• Multiplication inverse B
• Additive identity C
• Multiplication identity D

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

• 1 A
• i B
• -1 C
• -i D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

The multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

The square root of 2i - 20i is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

(a,0) x (c,0) =

• (0,ac) A
• (ac,0) B
• (0,0) C
• (a,c) D

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

• 
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of 1 - 2i is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D