ECAT Pre Engineering MCQ Test With Answer for Chapter 1 Mathematics

1/3 is ______

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

• Additive property of inequality A
• Commutative property B
• Additive inverse C
• Additive identity D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

The multiplicative inverse of -3i is

• 3i A
• -3i B
• -1/3i C
• 1/3 i D

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

The set of natural no. is closed under

• multiplication A
• subtraction B
• difference C
• division D

• 
  A
• 
  B
• 
  C
• 
  D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

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

i¹⁰¹ =

• i A
• i² B
• -i C
• -1 D

If Z = (1,2), then Z^-1 =?

• (0.2, 0.4) A
• (-0.2 ,0.4) B
• (0.2,-0.4) C
• (-0.2,-0.4) D

If a set S contains n elements then P (S) has ........ number of elements

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

The decimal fraction in which we have finite number of digits in its decimal part is called.

• recurring decimal fraction A
• Non terminating faction B
• Non recurring fraction C
• terminating decimal fraction D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

√23 is

• A rational number A
• A irrational number B
• An even integer C
• A factor of 36 D

If a > b or a < b than a = b is a

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

• 
  A
• 
  B
• 
  C
• 
  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

√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 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

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

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

The multiplicative inverse of (a,b) is

• 
  A
• 
  B
• 
  C
• 
  D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

√2 is a number

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

(a^-1)^-1=

• a^-1 A
• a B
• -a C
• None of above D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

14 is not a

• Prime number A
• Whole number B
• Even number C
• Real number D

√11 is

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