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

If G is a G.M between a and b then a,G,b are in

• A.P A
• H.P B
• G.P C
• None of these D

If in a set of real no a is additive identity then

• a+a = 2a A
• a+a = 1 B
• a+a = 0 C
• None of these D

The area under the curve y = 1/x² between x = 1 and x =4 is:

• -25 A
• 0.75 B
• -0.35 C
• -10 D

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

• 
  A
• 
  B
• 
  C
• 
  D

• A = C A
• A = B B
• B = C C
• None of these D

3x + 4 > 0 is

• equation A
• identity B
• inequality C
• none of these D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

The matrix A = [aij]mxn with m≠n is

• Rectangular A
• Symmetric B
• Square C
• None D

If A⊆ B, and B is a finite set, then

• n (a) < n(B) A
• n(B)<(A) B
• n(A)≤ n (B) C
• n(A)≥ n(B) D

A circle passing through the vertices of any triangle is called

• Circumcirle A
• Incircle B
• Escribed circle C
• Unit circle 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

Period of Tangent function is

• 0° A
• -π B
• π C
• 2π D

• 1 A
• -1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

n different objects can be arranged taken all at a time in ______

• (n + 1)! ways A
• (n - 1)! ways B
• n! ways C
• n ways D

Which one is not defined∀n∈Z+

• -n! A
• n! B
• (-n)! C
• n!+0!=n!+1 D

The distance between two parallel lines 2x - 5y + 13 = 0 and -2x +5y -6 = 0 is:

• √29 A
• 8/√29 B
• 7 /√29 C
• 29√7 D

• Reciprocal equation A
• Exponential equation B
• Radical equation C
• None of these D

There may be ______ feasible solution in the feasible region

• Infinite A
• Finite B
• Defined C
• None of above D

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

• 1 A
• 0 B
• 4 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 3 A
• 6 B
• 0 C
• None of these D

A function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

• 30 A
• 27 B
• 20 C
• 21 D

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

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

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

The points A, B and C are said to be collinear if they:

• be on same line A
• have same slope B
• Lie on a same plane C
• options a & b D

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

• q = 0, r = 0,p ≠ 0 A
• p = 0,qr≠ 0 B
• r = 0,pq≠ 0 C
• q = 0, pq≠ 0 D

The circle with are 60 cm² has an arc 8 cm long. The angle that is subtended at the centre of the circle by the are is

• 1.83 radians A
• 2.1 radians B
• 1.05 radians C
• 1.25 radians D