ECAT Pre Computer Science Mathematics MCQ Test With Answer for Full Book

If ∀a,b ε R,then a +b  ε  R is a property

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

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

• 5.47m A
• 2m B
• 7m C
• 6.29m D

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

• 48 / 663 A
• 24 / 663 B
• 12 / 663 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• U' D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

• 1 / 4 A
• 1 / 2 B
• 3 / 4 C
• 25 / 98 D

∀a,b, c ε R,a +c = b + c = > a = b

• Reflexive property A
• Symmetric property B
• Cancellations property w.r.t. addition C
• Transitive property D

The 6th term of the sequence 7,9,12,16......is

• 27 A
• 32 B
• 20 C
• 19 D

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

• Real and negative A
• Non-real with negative real parts B
• Real and positive C
• Nothing can be said D

• Polynomial A
• Equation B
• Improper rational fraction C
• Proper rational fraction D

The sum of complex number (a,b) and (c,d) is

• 
  A
• 
  B
• 
  C
• 
  D

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

Every irrational number is

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

The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:

• (7,5) A
• (1,2) B
• (2,7) C
• (7,0) D

ax+by+c = 0, represent a

• circle A
• parabola B
• straight line C
• quadratic circle D

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

• 
  A
• 
  B
• 
  C
• 
  D

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

• xyz A
• 0 B
• 1 C
• None of these D

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

• b²- 4ac < 0 A
• b²- 4ac = 0 B
• b²- 4ac > 0 C
• None of these D

x = ________ is in the solution of 2x - 3 < 0

• 2 A
• -2 B
• 3 C
• 4 D

• 0 A
• 8 B
• 5 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The expansion (1 + x)^-3holds when

• |x| > 1 A
• |x| < 1 B
• x < 1 C
• x > 1 D

In an A.P,a +(n-a)d is

• 1st term A
• General term B
• Last term C
• None of these D

The equation of the circle whose centre is (-3, 5) and having radius 7 is

• (x-3)²+ (y+5)²= 7² A
• (x-3)²+ (y+5)²= 7² B
• (x-3)²+ (y-5)²= 7² C
• x²+y²+6x-10y-15=0 D

• π / 3 A
• π / 4 B
• π / 6 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

If the exponent in the binomial expansion is 6, then the middle term is

• 2nd A
• 3rd B
• 4th C
• 5th D

If E = { } , then P(E)

• ∅ A
• { } B
• {(2),(4),(6)....} C
• (∅) D