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

If n is not natural number, then the expansion (1 + x)ⁿis valid for

• 
  A
• 
  B
• 
  C
• 
  D

• bijective function A
• into function B
• onto function C
• surjective D

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

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

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

• 2,2,2 A
• 3,3,3 B
• 2,2,4 C
• 2,3,4 D

Projection of vector u along v is

• |v| cosθ A
• |u| cosθ B
• |v| sinθ C
• |u| sinθ D

i³ =

• -1 A
• i B
• -i C
• 1 D

For an A.P common difference d

• Can be zero A
• May or may not zero B
• Cannot be zero C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

• Parallel to each other A
• Perpendicular to each other B
• Inclined at 60^o C
• neither parallel nor perpendicular D

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

• an ellipse A
• a circle B
• a parabola C
• a hyperbola D

• 
  A
• 
  B
• 
  C
• 
  D

an -an-1,∀n∈N∧n>1 in an A.P is called

• Common difference A
• nth term B
• Common ratio C
• None of these D

How many arrangements of the letter of the word PAKPATTAN can be made

• 
  A
• 
  B
• 
  C
• 
  D

Deductive logic in which every statement is regarded as true or false and there is no other possibility is called:

• Deductive logic A
• Inductive logic B
• Aristotlian logic C
• Non-Aristotlian logic D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

• 
  A
• 
  B
• 
  C
• 
  D

• A rational number A
• An irrational number B
• An odd number C
• A prime number D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

If you are looking a high point from the ground, then the angle formed is

• Angle of elevation A
• Angle of depression B
• Right angle C
• Horizon D

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is

• an ellipse A
• a circle B
• a parabola C
• a hyperbola D

If a,b c are sides of a triangle taken in order then a x b =

• b x c A
• b x a B
• cxa C
• Both a & b D

No term of a harmonic sequence can be

• 0 A
• 1 B
• 2 C
• 3 D

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

• Boundaries A
• Variable separable B
• Initial values C
• None D

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

• 8! A
• 5!3! B
• 5! C
• 20 D

• One-to-one and onto A
• One-to-one but not on to B
• Onto but not one-to-one C
• Neither one-to-one nor onto D

Multiplicative inverse of "1" is

• 0 A
• -1 B
• 1 C
• {0, 1} D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D