ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

∀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

The square root of 2i - 20i is

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

i⁹ =

• i² A
• -1 B
• 1 C
• i D

• 15 A
• 15 i B
• -15 i C
• -15 D

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

• √3 i A
• √7 B
• -2-i C
• √5 D

What is the conjugate of -6 -i

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

a >b, b >c ⇒a >c is a

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

Every prime number is also

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The equation |x +4| = x has solution

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

• 
  A
• 
  B
• 
  C
• 
  D

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

A non-terminating non_recurring decimal represents an

• Irrational no A
• Both a & c B
• Rational no C
• None of these D

• A prime number A
• An integer B
• A whole number C
• An irrational number D

Every whole number is

• A real number A
• An irrational number B
• A prime number C
• A negative integer D

In (x +iy) y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

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

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

The value of i⁴ⁿ⁺¹

• 1 A
• -1 B
• i C
• i² D

(a,b) +(-a,-b) =

• (0,0) A
• (a,b) B
• (-a,-b) C
• (1,1) D

√2 is a number

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

• 
  A
• 
  B
• 
  C
• 
  D

1/3 is a decimal

• Recurring A
• Terminating B
• Non-terminating C
• None of the above D