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

The property used in -3 <-2 ⇒0 <1

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

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

• 
  
  
  A
• 
  B
• 
  C
• 
  D

i³=

• -1 A
• i B
• -i C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In set builder notation the set {0,1,2,........100} can be written as

• {x / xε B ∧ x ≤ 100} A
• {x / x ∈ W ∧ x < 101} B
• {x / x ∈ Z ∧ x < 101} C
• The set of first 100 whole numbers D

QUQ, =

• N A
• R B
• W C
• Z D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b 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

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

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

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

• 15 A
• 15 i B
• -15 i C
• -15 D

Additive inverse of - a - b is

• a A
• -a + b B
• a - b C
• a + b D

• 
  A
• 
  B
• 
  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

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

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

The equation |x + 4| = x has solution

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

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' 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

• 
  A
• 
  B
• 
  C

• 0 A
• 1 B
• -1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

6 is

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

• 
  A
• 
  B
• 
  C
• 
  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

(a +bi) -c (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