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

In (x + iy) x is the known as

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

What is the conjugate of -7 -2i?

• -7 + 2i A
• 7 + 2i B
• 7 -2i C
• None of these D

If you are looking a high point from the ground, then the angle formed is

• Angle of elevation A
• Angle of depression B
• Right angle C
• Horizon D

n!/(n-1)!=

• n A
• n! B
• (n-1)! C
• 0! D

(2, 1) is in the solution of the inequality

• 2x + y > 7 A
• x - y > 2 B
• 3x + 5y < 6 C
• 2x + y < 6 D

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

• 8, 15, 17 A
• 3, 4, 5 B
• 12, 15, 18 C
• 5, 12, 13 D

The sum of the roots of the equation x2 -6x +2 = 0 is

• -6 A
• 2 B
• -2 C
• 6 D

The common ration of a geometric sequence cannot be

• 0 A
• 1 B
• 2 C
• 3 D

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

• 1 / 66 A
• 3 / 66 B
• 19 / 66 C
• 47 / 66 D

• 1 A
• -1 B
• 0 C
• None of these D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

There are ______ basic techniques for solving a quadratic equation

• Two A
• Three B
• Four C
• None of these D

A circle drawn inside a triangle and touching its sides is called ______;

• Circumcirle A
• Incircle B
• Escribed circle C
• unit circle D

The geometrical representation of a linear function is

• Circle A
• Parabola B
• Straight lie C
• None of these D

For n€ N,2^n>2 > n is to only when

• n<2 A
• n≤ 4 B
• n≥ 4 C

∀a,b ε R, ab = be is a

• Commutative law of multiplication A
• Closure law of multiplication B
• Associative law of multiplication C
• Multiplicative identity D

Range of secθis

• Z - {x | -1 < x < 1} A
• W - {x | -1 < x < 1} B
• R - {x | -1 < x < 1} C
• R D

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

• 1 / 500 A
• 1 / 504 B
• 1 / 252 C
• 1 / 250 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

• Set of whole number A
• Rational Numbers B
• Complex numbers C
• Whole numbers D

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

• 120 A
• 100 B
• 140 C
• 160 D

• 
  A
• x^n-1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In R, the multiplicative inverse of a is

• 0 A
• 1 B
• -a C
• 1/a D

if y=x² then dy/dx equals:

• 2x A
• x/2 B
• 2x³ C
• x³/2 D

If the centre of the circle is the origin, then equation of the cirlce is

• x²+ y²= 0 A
• 2gx + 2fy - c = 0 B
• x²+ y²= r² C
• gx + fy - c/2 = 0 D

120° degrees are equal to how many radians?

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following are valid roots of 3x³ - 8x² - 5x + 6

• -1 A
• 3 B
• 1 C
• Both A and B D

Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?

• x+1 A
• 2x+1 B
• 3x+1 C
• 2x-1 D