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

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

The formula an = a +(n-1)d for an A.P is called

• nth term of an A.P A
• Sum of first n terms B
• A,M between a and b C
• None of the above D

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

• 0 A
• a₁r^n-1 B
• a₁rⁿ⁺¹ C
• a₁rⁿ D

Every recurring decimal represents

• A natural number A
• A rational number B
• An irrational number C
• A whole number D

A and B be two square matrices and if their inverse exist, the (AB)^-1=

• A^-1B^-1 A
• AB^-1 B
• A^-1B C
• B^-1A^-1 D

• 
  A
• 
  B
• 
  C
• 
  D

Each complex cube root of unity is square of

• itself A
• 1 B
• -1 C
• the other D

The function whose range consists of just one element is called

• One-One Function A
• Identity Function B
• Onto Function C
• Constant Function D

Every prime number is also

• Rational number A
• Even number B
• Irrational number C
• Multiple of two numbers D

Range of secθis

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

If 4 sin²θ=1, then values ofθare

• 
  A
• 
  B
• 
  C
• 
  D

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

• 65 A
• 67 B
• 71 C
• 75 D

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

• 1/4 A
• 1/2 B
• 1/3 C
• 1/7 D

Archimedes approximate the function by horizontal function and the area under f by the sum of small

• Parallelograms A
• Squares B
• Retangles C
• Polygons D

If 3x⁴+ 4x³+ x - 5 is divided by x + 1, then the reminder is

• 0 A
• 7 B
• -7 C
• 5 D

Two straight line are given as M:y = -1/3 x+2 which of the following statement is correct

• M & N are parallel A
• M & N are not intersect B
• M & N is perpendicular C
• M & N are intersect at multiple D

The cartesian system of coordinates was introduced by:

• Eulaer A
• Euclid B
• Descrates C
• Maclream D

If∱(x) = 1/x-2 then∱¹(0) equals:

• -1/4 A
• -3/2 B
• -1/2 C
• 1/5 D

Probability of an impossible event is

• 0 A
• -1 B
• 1 C
• ∞ D

• 
  A
• 
  B
• 
  C
• all D

• 
  A
• 
  B
• 
  C
• 
  D

(x + 2)²= x²+ 4x + 4 is

• A linear equation A
• A cubic equation B
• A quadratic equation C
• None D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

• 14 / 29 A
• 20 / 39 B
• 1 / 2 C
• n D

-2, 1, 4, 7,.... is ______

• Harmonic sequence A
• Arithmetic sequence B
• Geometric sequence C
• Arithmetic series D

The 7th term of (3⁸ + 6⁴x)^11/4 is

• -19217/3 x⁶ A
• 189/2 6⁴x B
• 2227/12 x³ C
• -19712/3 x⁶ D

• 
  A
• 
  B
• 0 C
• 1 D

x³+ 2x²- 3x + 5 is ______

• An equation A
• A polynomial B
• Proper rational fractions C
• Improper rational fractions D

A square matrix A for which A^t= -A is called a

• Column matrix A
• Symmetric matrix B
• Skew-symmetric matrix C
• Row matrix D

Period of tan 4x is ______

• 
  A
• 
  B
• 
  C
• 
  D