ECAT Mathematics MCQ's Test For Pre General Science

• A A
• B B
• A' C
• None of these D

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

• 1 / 729 A
• 1 / 24 B
• 1 / 21 C
• 2 / 7 D

• 8 A
• 1/56 B
• 56 C
• None of these D

6 is

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

A number H is said to be the H.M. between a and b if a, H, b are in

• A.P. A
• G. P. B
• H. P. C
• None of these D

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

• α = β A
• αβ = 1 B
• α = β C
• α = 1 D

If a = {2m/2m < 9 ,m€ p} , the (n A) =

• {2,3,4,5,6,7,8} A
• {2,4,6,8............16} B
• { 4, 6} C
• {2,3,5,7} D

The value of 289^οin radians is

• 4.05 A
• 3.02 B

• π/2

  C
• 5.04 D

If x,y are two positive distinct numbers then

• A>G>H A
• A<G<H B
• A=G=H C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  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

1.4142135... is ______

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The sum of n terms of a series is denoted by

• d A
• n B
• S_n C
• a_n D

Binomial expansion of an expression A gives 1-8 x + 24 x2-32 x3 -16 x4 the expansion A is given by

• (1-2x)⁴ A
• (1+2x)⁴ B
• (1-4x)⁴ C
• (1+4x)⁴ D

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D

Which of the following are valid roots of 3x³ - 8x² - 5x + 6

• -1 A
• 3 B
• 1 C
• Both A and B D

• 3 x 1 A
• 1 x 3 B
• 3 x 3 C
• 1 x 1 D

• 0 A
• 20 B
• 90 C
• 80 D

If the line is parallel to they y-axis, then m is said to be:

• zero A
• undefined B
• 1/2 C
• -1 D

The number of the diagonals of a 6 sided figure is

• 15 A
• 21 B
• 9 C
• 6 D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

• - x A
• Infinite set B
• Φ C
• {-4,4} D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

(x-1) is a factor of

• 2x³-3x²+9 A
• 2x³-5x-8 B
• 48x^2-46x-9 C
• x⁹-1 D

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

• 24 A
• 25 B
• 9 C
• 13 D

The many subset can be formed from the set {a,b,c,d}

• 8 A
• 4 B
• 12 C
• 16 D

Which of the following sets has closure property w.r.t. addition

• { 0 } A
• { 1 } B
• { 0, -1} C
• { 1, -1} D

Deductive logic in which every statement is regarded as true or false and there is no other possibility is called

• deductive logic A
• inductive logic B
• Aristolian logic C
• non-Aristolian logic D