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

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i 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

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

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

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

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

The additive inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist 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 = -1 C
• X = 2, y = 2 D

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

What is the conjugate of -6 -i

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

(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 negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

• 
  A
• 
  B
• 
  C
• 
  D

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

i² = 

• 1 A
• 2 B
• -1 C
• 0 D

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

Union of the sets of rational and irrational numbers is called 6th set of

• Natural numbers A
• Real numbers B
• Whole numbers C
• Prime numbers D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• One A
• Two B
• Three C
• Four D

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

Any recurring decimal represents a

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

• 
  A
• 1 B
• 
  C
• -1 D

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

• 
  A
• 
  B
• 
  C
• 
  D

If 0 = R, thenthe additive inverse of a is

• 1/9 A
• ^1/-9 B
• a C
• -a D

QUQ, =

• N A
• R B
• W C
• Z 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

• real part of z A
• imaginary part of z B
• conjugate of z C
• modulus of z D