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

The magnitude of vector a 2i-7j is

• √23 A
• √43 B
• 3 C
• √53 D

The graph of y> 0 is the upper - half of:

• y-axis A
• x-axis B
• 1st and 4th quandrant C
• 2nd and 3rd quadrant D

The sum of n terms of a series is denoted by

• d A
• n B
• S_n C
• a_n 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

In the interval 0≤ x ≤ π, the sine is

• Not a function A
• Not defined B
• Infinity C
• Not one-to-one function 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

• 1 A
• 2 B
• 3 C
• 4 D

• A^- A
• A^t B
• -A C
• A D

√(-1b) =?

• b i A
• -i b B
• b2 C
• i√b D

The set { {a, b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

• 
  A
• 
  B
• 
  C
• 
  D

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

• 16 / 7 A
• 6 / 17 B
• 7 / 16 C
• None of these D

• 0 A
• 1 B
• -1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in a (b-c) = ab - ac

• commutative property of multiplication A
• distributive property of multiplication B
• associative property of multiplication C
• multiplicative inverse D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following has the same value as i¹¹³?

• i A
• -1 B
• -i C
• 1 D

• 12 A
• 6 B
• 8 C
• none of these D

A polynomial of arbitrary degree

• f(x) = o A
• f(x) = x B
• f(x) = a C
• f(x) = ax + b,a ≠ 0 D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

• 10 A
• 66 B
• 71 C
• 106 D

The fifth term of the sequence a_n= 2n + 3 is ______

• 13 A
• -13 B
• 8 C
• 3 D

The probability to get an odd number in a dice thrown once is

• 6 A
• 1 B
• 1/6 C
• 1/2 D

The period of the function csc x/4 us

• 4x A
• π/4 B
• 8π C
• π/8 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

Every irrational number is

• A real number A
• A prime number B
• A natural number C
• An integer D

• Additive property in R A
• Multiplication property in R B
• Cancellation property in R C
• Distribution property in R D

• 
  A
• 
  B
• 
  C
• 
  D