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

Any conditional and its contrapositive are

• Equilavant A
• Opposite B
• Equal C
• Not Equal D

Which of the following has the same value as i113

• i A
• -1 B
• -i C
• 1 D

• 0 A
• 1 B
• 2 C
• 4 D

Range of 3 cot x is ______

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

A statement which is either true or false is called

• Induction A
• Deduction B
• Propositicon C
• Logic D

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

• 4 A
• 6 B
• 5 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Rational number is a number which can be written as a terminating decimal fraction or a

• Non-terminating decimal fraction A
• Non-recurring B
• Recurring decimal fraction C
• a, b and c D

The middle term in the expansion of (a +x)¹²is

• 7th A
• 8th B
• 9th C
• 6th D

• 
  A
• 
  B
• 
  C
• 
  D

Digit in the unit place of the number 183! + 3¹⁸³

• 7 A
• 6 B
• 3 C
• 0 D

(x + 2)²= x²+ 4x + 4 is

• A linear equation A
• A cubic equation B
• A quadratic equation C
• None D

If -1 < x < 0, which of the following statements must be true?

• x < x²< x³ A
• x < x³< x² B
• x²< x³< x C
• x²< x < x³ D

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

The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

• The cost of one apple A
• The cost of one orange B
• Both have equal cost per item C
• Cost of each single item can not be determined D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

Area ofΔABC=

• ab sinα A
• 1/2 ab sinα B
• 1/2 ac sinγ C
• 1/2 ac sinβ D

The set { 1 , -1} is closed w.r.t.

• Addition A
• Multiplications B
• Subtraction C
• None of these D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

• 
  A
• 
  B
• 
  C
• 
  D

• 8 A
• 9 B
• 10 C
• 11 D

cos h² x + sin h² x

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

• y + 1 = Ae^x A
• y + 1 = Axe^x B
• xe^x = C C
• y + xe^x= C D

If (x,y) are the coordinates of a point P, then the first number of the ordered pair is called:

• Ordinate A
• Abscissa B
• quadrant C
• Cartesian D

The principal value of sin-1√(3/2) is

• -π/3 A
• π/3 B
• 2π/3 C
• π/2 D

The nth term of a G.P. is

• a₁rⁿ A
• a₁rⁿ⁺¹ B
• a₁r^n-1 C
• a₁r^-n D

• 
  A
• 
  B
• 
  C
• 
  D

For each even natural number n (n²-1) is divisible by

• 6 A
• 3 B
• 4 C
• 8 D