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

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

• 
  A
• 
  B
• 
  C
• 
  D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

The number of terms in the expansion of (a + b)⁹is

• 10 A
• 11 B
• 9 C
• 12 D

A polynomial P(x)has a factor (x-a)if P(a) =

• a A
• x B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The two lines 5x + 7y = 35 and 3x -7y=21, intersect at the point:

• (7,5) A
• (1,2) B
• (2,7) C
• (7,0) D

• 2s² A
• 2s³ B
• s³ C
• 3s³ D

If A is non-empty set, any subset of A x A is called a relation in

• A A
• B B
• ∅ C
• r D

• 
  A
• 
  B
• 
  C
• 
  D

If m and n be two scalars, then (m+n) g =

• 0 A
• m+n
  B
• m▁a+n▁a C
• ma - m▁a
  D

H.M. between 3 and 7 is

• 
  A
• 
  B
• 
  C
• 
  D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Period of Tangent function is

• 0° A
• -π B
• π C
• 2π D

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

• Equal sets A
• Equivalent sets B
• Over lapping sets C
• None of these D

• a = 2, b = 3 A
• a = 3, b = 2 B
• a = 2, b = 1, 2 C
• a = 3, b = 3 D

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

• [0, 1] A
• [-1, 1] B
• [1, 3] C
• None of these D

The term involving x⁴ in the expansion (3-2x) is

• 217x⁴ A
• 15120x⁴ B
• 313x⁴ C
• -25x⁴ D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

• 7 A
• 9 B
• 11 C
• 13 D

2^2x-3+2 ^x+1+32 = 0 is gives value of x

• (3,4) A
• (8,4) B
• (2,3) C
• (5,9) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A sequence is a function whose domain is

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