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

If #n = (n-5)2 + 5, then find #3 x #4.

• 54 A
• 12 B
• 4 C
• 9 D

If a,b c are sides of a triangle taken in order then a x b =

• b x c A
• b x a B
• cxa C
• Both a & b D

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

• 72 A
• 48 B
• 144 C
• 20 D

What is the conjugate of -6 -i?

• -6 +i A
• 6+i B
• -6 -i C
• 6 -i D

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  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

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

• A²- 5A + 7I = 1 A
• 2A²- 3A + 7I = 0 B
• A²- 5A + I = 0 C
• A²- 5A + 7I = 0 D

• 2 A
• 
  B
• -2 C
• none of these D

an - an-1 will be common difference in an A.P if

• n = 1∀n∈ N A
• n>1∧n∈N B
• n∈Z C
• None of the above D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None 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

Sum of n terms of a geometric series if | r | < 1 is

• 
  A
• 
  B
• 
  C
• 
  D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

• 
  A
• 
  B
• 
  C
• 
  D

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

• Associated equation A
• Non-associated equation B
• disjoint equation C
• Feasible equation D

In R, the additive inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

• x²+ 2 A
• 3x + 2 B
• 3x²+ 5 C
• 3x²+ 2 D

The square matrix A is skew-symmetric when At =

• -B A
• -C B
• -A C
• -D D

In (x + iy), y is called as

• Imaginary part A
• Complex number B
• Real part C
• None of above D

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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

The number of different ways of describing a set is

• One A
• Two B
• Three C
• Four D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

Domain of cot x is ______

• 
  A
• 
  B
• 
  C
• 
  D

• Associative property of addition A
• Associative property of multiplication B
• Commutative property of addition C
• Commutative property of multiplication D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

The positive real number which is the measure of the length of a vector is called the

• Unit vector A
• Modulus B
• Inverse C
• None of these D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

• 0 A
• 1 B
• 
  C
• -1 D