ECAT Pre General Science Mathematics Test

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

• A proper fraction A
• An improper fraction B
• An equation C
• An identity D

• R A
• 2R B
• r C
• 2r D

• 
  A
• 
  B
• 
  C
• 
  D

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

• Symmetric property A
• Cancellation property w.r.t multiplication B
• Reflexive property C
• Transitive property D

The sum if 1,3,5,7,9........ up to 20 terms is

• 400 A
• 472 B
• 563 C
• 264 D

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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

The general solution of tan 3x = 1 is

• 
  A
• 
  B
• 
  C
• 
  D

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

• 1 A
• 3 B
• 2 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• 4 C
• 7 D

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• The law of sines A
• The law of consines B
• The law of tangents C
• None of these D

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

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

The range of the principle cos function is

• 
  A
• 
  B
• 
  C
• 
  D

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

• 140° A
• 50° and 140° B
• 50° and 130° C
• 40° and 320° D

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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

If 4 - x >5, then

• x > 1 A
• x > -1 B
• x < 1 C
• x < -1 D

The two parts into which 57 should be divided so that their product is 782 are

• 43,14 A
• 34,23 B
• 33,24 C
• 44,13 D

The roots of (x - a)(x - b) = ab x2 are always

• Real A
• Depends upon a B
• Depends upon b C
• Depends upon a and b D

• Parallel to the plane A
• At right angles to the plane B
• Lies in the plane C
• Meet the plane obliquely D

• 
  A
• 
  B
• 
  C
• 
  D

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

• 69° A
• 66° B
• 60° C
• 63° D

Every identity matrix is

• Row-vector A
• Scalar B
• Column-vector C
• All D

• -1 A
• 0 B
• 1 C
• Undefined D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 + tan²x + c A
• tan x + c B
• -tan x + c C
• cot x + c D

• 
  A
• 
  B
• 
  C
• 
  D