ECAT Computer Science Test Preparation Online for Pakistani Students

cos h² x + sin h² x

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

Name the property used in 100 + 0 = 100

• Additive inverse A
• Multiplicative inverse B
• Additive identity C
• Multiplicative identity D

• 
  A
• 
  B
• 
  C
• 
  D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

• -2x³ A
• 2x^-3 B
• -2x^-3 C
• 2x³ D

There are 50 students in a class out of these 38 used desktop computer 16 out of these used laptop. It is noted that five students neither used laptop of computer. The students having both laptop and computer are A. Based on the information find out the greatest value of A.

• 16 A
• 8 B
• 4 C
• 0 D

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined D

Which of the following integrals can be evaluated

• 
  A
• 
  B
• 
  C
• 
  D

• (1, 3) A
• (-1, -3) B
• (1, -3) C
• (-1, 3) D

• 
  A
• 
  B
• 
  C
• 
  D

The eccentricity of parabola is:

• 1 A
• 0 B
• Greater than 1 C
• Less than 1 D

The distance of the point (2,-3) from y-axis is

• 2 A
• -3 B
• 1 C
• 5 D

How many signals can be given by 5 flags of different colours, using 3 flags at a time

• 120 A
• 60 B
• 24 C
• 15 D

• x³- x²+ x + c A
• 6x - 2 + c B
• x³- 2x + c C
• 
  D

The distance between the points A(3,1) and B(-2,-4) is

• 5 A
• 
  B
• 25 C
• 10 D

The transpose of a zero matrix is a ______

• Column matrix A
• Zero matrix B
• Row matrix C
• Scalar matrix D

An integral of 1/x dx is:

• 1/x² A
• 1/-x² B
• 1/lnx C
• lnx D

6! = ______

• 360 A
• 720 B
• 6.5.4 C
• None of these D

• 8th A
• 10th B
• 7th C
• 3rd D

To draw conclusions front premises believed to be true, this way of reasoning is called

• deduction A
• induction B
• implication C
• disjunction D

The equation x² + y² +2g +2fy + c =0 represents a circle whose centre is :

• (g,f) A
• (-g,-f) B
• (2g ,2f) C
• (-2f ,-2g) D

The point R dividing externally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio k₁: k₂has the coordinates

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x²+y² = 25 is:

• tan𝜽 A
• cos𝜽 /sin𝜽 B
• -cot𝜽 C
• - tan𝜽 D

• 
  A
• 
  B
• 
  C
• 
  D

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

• 2 / 5 A
• 3 / 5 B
• 4 / 5 C
• None of these D

If a polynomial P(x) is divided by x - a, then the remainder is

• P(o) A
• P(-a) B
• P(a) C
• None of these D

∀ z ∈ C, multipliucative is

• (1,1) A
• (1,0) B
• (0,1) C
• None of these D

• 30° A
• 60° B
• 45° C
• None of these D

The number of permutation that can be formed from the letters of the word OBJECT is

• 700 A
• 600 B
• 720 C
• 620 D