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

• 
  A
• 
  B
• 
  C
• 
  D

If P is a proposition then its negative is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

• 1 / 32 A
• 31 / 32 B
• 1 / 16 C
• None of these D

• 1 A
• 2 B
• 3 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• 4 C
• 7 D

• 
  A
• 
  B
• 
  C
• 
  D

The area of the circle centred at (1, 2) and passing through (4, 6) is

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 3 D

The distance from the point P(3,4) to the line y = 2x - 3 is:

• √5 A
• √3 B
• 2√3 C
• 1/√5 D

The cartesian system of coordinates was introduced by:

• Eulaer A
• Euclid B
• Descrates C
• Maclream D

The period of tan x/7 is

• 3π A
• 7π B
• 15π C
• 5π D

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

• 7 / 40 A
• 5 / 40 B
• 11 / 40 C
• None of these D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

• 71 A
• -22 B
• 27 C
• 28 D

ax + by < c is linear inequality in

• four variables A
• three variables B
• two variables C
• one variable D

• 
  A
• 
  B
• 
  C
• 
  D

The points (x, y) which satisfy a linear inequality in two variables x and y from its

• domain A
• range B
• solution C
• none of these D

• 0 A
• 1 B
• 2 C
• 3 D

• 1, 1/2, 0 A
• 1, 2, 1 B
• 1, 2, 3 C
• 1, 2, 0 D

• π A
• π / 2 B
• π / 3 C
• π / 4 D

The set of second elements of the ordered pairs forming a relation is called a

• Domain A
• range B
• function C
• relation D

A = [3] is a/an

• Square matrix A
• Scalar matrix B
• Diagonal matrix C
• Identity matrix D

(n + 2) (n + 1)n in factorial form is

• 
  A
• 
  B
• 
  C
• 
  D

If A = {x/x is a positive integer and 4≤x<23}, then A=

• {1,2,3,4,5,6,7} A
• {4,5,6...........22} B
• {1,2,3,.........23} C
• {1,2,3,4,5} D

i =

• √1 A
• √2 B
• √-2 C
• √-1 D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

• 7 A
• 8 B
• 9 C
• 10 D