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

Function is a special type of

• relation A
• ordered pairs B
• cartesian product C
• sets D

If aand bare two vectors then a+b =

• b + a A
• b - a B
• ab C
• a^ b D

A sequence is a function whose domain is

• N A
• Subset of N B
• R C
• None of these D

The sum of all positive integral multiple of 5 less than 100 is

• 950 A
• 760 B
• 1230 C
• 875 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

x = ________ is in the solution of 2x - 3 < 0

• 2 A
• -2 B
• 3 C
• 4 D

• 71 A
• -22 B
• 27 C
• 28 D

• 
  A
• 
  B
• 
  C
• 
  D

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

• 18 cm A
• 18.027 cm B
• 20.7 cm C
• 19 cm D

The sum of first twenty odd integers in A.P is

• 400 A
• 397 B
• 404 C
• 408 D

If 2 and 2 are x and y components of vector then its angle with x-axis is

• 30° A
• 45° B
• 60° C
• 90° D

• square root function A
• identity function B
• linear function C
• quadratic function D

If the exponent in the binomial expansion is 6, then the middle term is

• 2nd A
• 3rd B
• 4th C
• 5th D

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

• 
  A
• 
  B
• 
  C
• 
  D

A relation in which the equality is true only for some values of the known is called ______

• An identity A
• An equation B
• A polynomial C
• None of these D

• direction ratios A
• direction cosines B
• direction angles C
• none of these D

A diagonal matrix in which the diagonal elements are equal is called a

• Null matrix A
• Identity matrix B
• Scalar matrix C
• Row matrix D

(0,1) is in the solution of the inequality

• 3x + 2y > 8 A
• 2x - 3y < 4 B
• 2x + 3y > 5 C
• x -2y < -5 D

• 
  A
• 
  B
• 
  C
• 
  D

Name the property used in 1000 x 1 = 1000

• additive inverse A
• multiplicative inverse B
• additive identity C
• multiplicative identity D

Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

• {(1, 1), (2, 2), (3, 3)} A
• {(4, 4), (5, 5), (6, 6)} B
• {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} C
• None of these 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 corner point of the boundary lines, x- 2x

x+2y=10 is:

• (8,1) A
• (1,8) B
• (6,10) C
• (3,5) D

The sum of the coefficient in the expansion of (a + x)⁵is

• 32 A
• 16 B
• 8 C
• 5 D

• 
  A
• 
  B
• 
  C
• 
  D

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

• b cotαtanβ A
• b tanαtanβ B
• b tanαcotβ C
• None of these D

The conjunction of 3>5, and 5<9, is

• false A
• true B
• unknown C
• disjunction D