ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 1 (Number System)

6 is

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

• a = a A
• a < a B
• a > a C
• a²= a D

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

The negative square root of 9 can be written as:

• -√9 A
• √9 B
• √18 C
• -√18 D

Any recurring decimal represents a

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

I is not

• Real number A
• Natural number B
• Prime Number C
• Whole Number D

Every natural number is

• A prime number A
• An irrational number B
• An integer C
• An even number 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

The order axioms are satisfied by set of

• C A
• C and R B
• R C
• None of these D

The identity element with respect to subtraction is

• 0 A
• -1 B
• 0 and 1 C
• None of thes D

Some of two real numbers is also a real number , this property is called:

• Commutative property w.r.t addition A
• Closure property w.r.t. addition B
• Associative property w.r.t. addition C
• Distributive property w.r.t addition D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

• 
  A
• 
  B
• 
  C
• 
  D

In polar form of complex number r =

• 
  A
• 
  B
• 
  C
• 
  D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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

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

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

• One A
• Two B
• Three C
• Four D

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

√23 is

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

(a-1)-1 =

• a-1 A
• a B
• -a C
• None of above 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Multiplicative inverse of "1" is

• 0 A
• ±1 B
• 1 C
• {0,1} D

• 
  A
• 
  B
• 
  C
• 
  D

i¹⁰¹=

• i A
• i² B
• -i C
• -1 D