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

(a^-1)^-1=

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

What is the conjugate of -6 -i

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

• 15 A
• 15 i B
• -15 i C
• -15 D

The set {0,-1} hold closure property under

• Addition A
• Both a & c B
• Multiplication C
• None of these D

The equation |x + 4| = x has solution

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The additive inverse of 2/3 is

• 3/2 A
• -2/3 B
• -3/2 C
• 0 D

• Symmetric property A
• Cancellation property w.r.t. multiplication B
• Reflexive property C
• Transitive property 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

The additive identity of real number is

• 1 A
• 2 B
• 1/2 C
• 0 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 multiplicative inverse of 1 is

• 1 A
• -1 B
• 0 C
• Does not exist D

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

• 1 A
• i B
• -1 C
• -i D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R the left cancellation property w.r.t addition is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• -8 A
• 8 B
• 8i C
• 32 D

The real number system contains.

• Positive Numbers A
• Negative numbers B
• Zero C
• (option a, b and c) D

The product of complex numbers (a,b) and (c,d) is

• (ac, bd) A
• (ac-bd, ad+bc) B
• (ab,cd) C
• (ac+bd,ad-bc) D

The identity element with respect to subtraction is

• 0 A
• 1 B
• -1 C
• Does not exist D

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

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

Total number of subsets that can be formed out of the set {a,b,c} is

• 1 A
• 4 B
• 8 C
• 12 D

• z is purely imaginary A
• a is any complex number B
• z is real C
• None of these D

a.a^-1= a^-1.a = 1 is a

• Commutative law of multiplication A
• Multiplication identity B
• Associative law of multiplication C
• Multiplication inverse D

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

• 2ⁿ A
• 2ⁿ² B
• 2.n C
• n² D

• (x, y) A
• (kx, y) B
• (x, ky) C
• (kx, ky) D