ECAT Pre General Science Mathematics Online Test

The conic is a parabola, when:

• ᵨ > 1 A
• ᵨ < 1 B
• ᵨ = 1 C
• ᵨ = 0 D

Which of the following sets in infinite

• The set of students of your class A
• The set of all schools in Pakistan B
• The set of natural numbers between 3 and 10 C
• The set of rational numbers between 3 and 10 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

30° = ______

• 
  A
• 
  B
• 
  C
• 
  D

No term of a harmonic sequence can be

• 0 A
• 1 B
• 2 C
• 3 D

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

• 3 A
• 2 B
• 1 C
• 
  D

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

• 
  A
• 
  B
• 
  C
• 
  D

• square root function A
• identity function B
• linear function C
• quadratic function D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

Cofactor of an element a_ijis defined by

• (-1)^i+j|A| A
• (-1)^i+jM_ij B
• (-1)^i+jM^-1 C
• None of these D

Arithmetic mean between 14 and 18 is

• 16 A
• 17 B
• 15 C
• 32 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A and B throw a dice. The probability that A's throw is not greater then B's is

• 5 / 12 A
• 7 / 12 B
• 1 / 6 C
• 1 / 2 D

• K/6 A
• 2K B
• 3K C
• 6K D

The first three terms in the expansion of (1 + x)^-2are ______

• 1 - 2x + 3x² A
• 1 - 2x - 3x² B
• 1 + 2x + 3x² C
• -2 -2x + 3x² D

• Reflexive property A
• Symmetric property B
• Transitive property C
• Additive property D

• [0, 0, 0] A
• [1, 0, 0] B
• [0, 1, 0] C
• [0, 0, 1] D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

In how many ways can 5 persons be seated at a round table

• 5! A
• 4! B
• 3! C
• 120 D

A sequence having no last term is called

• arithmetic sequence A
• Geometric sequence B
• Finite sequence C
• Infinite sequence D

The Principal value of sin-1 (-1/1/2)

• π/2

  A

• -π/2

  B

• π

  C

• -π

  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

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

• (-1, 2) A
• (-1, 1) B
• (1, 2) C
• {-1} D

The sum of coefficients in the binomial expansion equals to

• 2 A
• 2ⁿ⁺¹ B
• 2^n-1 C
• 2ⁿ D

• cos 2x A
• 2 cos 2x B
• 2 sin2x C
• -2 cos2x D