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

The sixth term of the sequence 1,3,12,60....is

• 1500 A
• 72 B
• 2160 C
• 2520 D

• 
  A
• 
  B
• 
  C
• 
  D

If b²- 4ac is positive then the roots of the equation are

• Real A
• Imaginary B
• Positive C
• Negative D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

e-radii are denoted by

• η A
• r2 B
• r3 C
• All of these D

1 + 2 + 3 + ...... + n = ______

• 
  A
• 
  B
• 
  C
• 
  D

Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

• 
  A
• 
  B
• 
  C
• 
  D

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = x3-x/x2+1 is :

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

• 
  A
• 
  B
• 
  C
• 
  D

For every positive integers n 1+5+9+....+ (4n - 3) is

• n(2n - 1) A
• (2n - 1) B
• n - 1 C
• n D

If sinθ = 12/13, and sinθ > 0, then tan θ =

• 2/5 A
• 12/13 B
• 13/5 C
• 12/5 D

The symbol∋ stand for

• Such that A
• There exist B
• For all C
• Belongs to D

Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

• BA A
• A² B
• AB C
• B² D

• cosec x + c A
• -cosec x + c B
• -sec x + c C
• sec x + c D

If a, b, c, d, e, f are in A.P.,then e-c is equal to

• 2(c - a) A
• 2(f - d) B
• 2(d - c) C
• d - c D

• a tan(ax + b) + c A
• - a tan(ax + b) + c B
• 
  C
• 
  D

An equation which holds good for all values of variables is called

• Equation A
• Conditional equation B
• Constant C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

Let A and B be two non-empty sets, then any subset of the cartesian product A x B called a

• Function A
• Domain B
• Range C
• Binary relation D

• 
  A
• 
  B
• 
  C
• 
  D

If G is the centroid of the triangle, then GA +GB+GC=

• 0 A
• 1 B
• -1 C
• 3 D

The sum of all 2 digit number is

• 4750 A
• 3776 B
• 4895 C
• 4905 D

The set {1, 2, 3, 4, ....} is called

• Set of Natural numbers A
• Set of whole numbers B
• Set of rational number C
• Set of irrational numbers D

• [0, 0, 0] A
• [1, 0, 0] B
• [0, 1, 0] C
• [0, 0, 1] D

The sum of all odd numbers between 100 and 200 is

• 6200 A
• 7500 B
• 6500 C
• 3750 D

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

• 1700 A
• 17023 B
• 17027 C
• 17010 D

4/√49 is a

• Irrational Number A
• Prime Number B
• Rational number C
• Whole number D

A function in which the second elements of the order pairs are distinct is called

• Onto function A
• One-one function B
• Identity function C
• Inverse function D

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

• 40 m A
• 30 m B
• 20 m C
• 60 m D