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

• 
  A
• 
  B
• 
  C
• 
  D

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

• 90° A
• 60° B
• 30° C
• 45° D

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

• 1/12 A
• 1/6 B
• 5/12 C
• 7/12 D

(a +bi) -c (c +di) =

• (a +b) = (c +d) A
• (a +c) + i(b +d) B
• (a -c) + (c -d)i C
• (a -c) +(b -d) i D

Basic principles of deductive logic were laid down by

• Euclid A
• Leibniz B
• Newton C
• Aristotle D

3.5+5.4=5.4+3.5 =8.9 this property of addition is called

• additive identity A
• assoclative property B
• commulative property C
• closure property D

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

• 35 A
• 36 B
• 48 C
• 49 D

The period of|sin⁡2x| is

• π/2 A
• -π/2 B
• π C
• π/3 D

• -3 A
• -7 B
• 1 C
• 0 D

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

The graph of y < 2 is the

• Left half plane A
• upper half plane B
• Right half plane C
• Lower half plane D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The additive inverse of a matrix A is

• 
  A
• 
  B
• 
  C
• None of these D

A vector of magnitude zero is called

• Position vector A
• Null vector B
• Free vector C
• None of these D

Domain of secθis

• 
  A
• 
  B
• 
  C
• 
  D

If 4 - x >5, then

• x > 1 A
• x > -1 B
• x < 1 C
• x < -1 D

The domain of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

x = sin^-1 3, then the value of sin x is

• √(3/2) A
• 3 B
• Not possible C
• -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

If | x | < 1, then the first two terms of (1 - x)^1/2are

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

All men are mortal. We are men, therefore, we are also mortal. This is a useful example of

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

Tan^-11/x = ______

• sin x A
• sec^-1X B
• cot^-1X C
• None of these D

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

• 10 m A
• 15 m B
• 20 m C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D