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

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

• S(1) A
• Both a & c B
• S(k) C
• None D

n different objects can be arranged taken all at a time in ______

• (n + 1)! ways A
• (n - 1)! ways B
• n! ways C
• n ways D

We solve the system of non-homogeneous linear equations by

• a and b A
• b and c B
• c and a C
• a,b and c D

If∱(x) = x^-100the value of∱¹ (1) is:

• 100 A
• -100 B
• 0 C
• -101 D

• A A
• B B
• U C
• None of these D

• 
  A
• a^xIn a + c B
• a^x+ c C
• x a^x+ c D

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

• 25m A
• 23m B
• 12m C
• 29m D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• none of these D

• p < r A
• p > rr B
• p + r < 0 C
• p - r < 0 D

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

• 4 : 4! A
• 4! B
• 5! C
• 4!+4! D

f(x) = ax + b will be an identity function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  D

Power set of X i.e P(X)..........under the binary operation of union U

• Forms a group A
• Does not form a group B
• Has no identity element C
• Infinite set although X is infinite D

Domain of tangent function is

• 
  A
• 
  B
• 
  C
• 
  D

The third term of a G.P. is 4, The product of first five terms is

• 43 A
• 45 B
• 46 C
• None of these D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

The fifth term of the sequence a_n= 2n + 3 is ______

• 13 A
• -13 B
• 8 C
• 3 D

• 
  A
• 
  B
• 
  C
• none of these D

• I A
• |A| B
• |A| I C
• None of these D

ab > 0 and a > 0 then

• a > b A
• a < b B
• a = b C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

The number of x-intercepts of y= sin x in his period

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

Arithmetic mean between x - 3 and x + 5 is

• x + 1 A
• x + 2 B
• x + 3 C
• x + 4 D

• 36 A
• 360 B
• 24 C
• 6 D

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

• 2 A
• -2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D