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

The principal value of sin^-1 (-1/2)

• π/3 A
• π/4 B
• π/6 C
• -π/6 D

The conditional statement "If p then q" is logically equivalent to the statement.

• Not p or Not q A
• Not p and Not q B
• Not p or q C
• p or q D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

The points (x, y) which satisfy a linear inequality in two variables x and y from its

• domain A
• range B
• solution C
• none of these D

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

• 6, 10 A
• -6, -10 B
• 8, 8 C
• -8, -8 D

• 
  A
• 
  B
• 
  C
• 
  D

If a polynomial P(x) is divided by x - a, then the remainder is

• P(o) A
• P(-a) B
• P(a) C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector.

• energy A
• force B
• work C
• power D

• 
  A
• 
  B
• 
  C
• 
  D

If a₁= 3, r = 2, then the nth term of the G.P. is

• 2.3^n-1 A
• 3.2ⁿ B
• 3.2ⁿ⁺¹ C
• 3.2^n-1 D

No term of a geometric sequence can be

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

• (ac,bd) A
• (ac+bd, ad-bc) B
• (ac-bd , ad+bc) C
• (ac-bd , ad-bc) D

• 
  A
• 
  B
• 
  C
• 
  D

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

• Skew-symmetric A
• Symmetric B
• Null C
• Diagonal D

In an A.P,a +(n-a)d is

• 1st term A
• General term B
• Last term C
• None of these 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

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

• 4 A
• 3 B
• 2 C
• 1 D

There is no element common in

• N and W A
• E and W B
• N and O C
• Q and Q' D

Logic in which there is scope of third or fourth possibility is called.

• non-Aristotlian logic A
• Aristotlian logic B
• Postulates C
• induction logic D

If A is a non-singular matrix then adj A is

• Non-singular A
• Symmetric B
• Singular C
• Non defined D

If tan^-13 + tan^-1x = tan^-18, then x=

• 5 A
• 1/5 B
• 5/14 C
• 14/5 D

If Z₁= 1 + i, Z₂= 2+3i, then |Z₂- Z₁| = ?

• 
  A
• 
  B
• 
  C
• 
  D

In order of A is m x n and order of B is n x p then order of AB is

• m x m A
• n x n B
• m x p C
• p x m D

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

• 4 A
• 6 B
• 8 C
• 10 D

If a,b,c are unit vectors then |a + b|2 +|a - b|2

• 4 A
• 8ab B
• 9cos C
• 4(a,b) D

• 5 A
• 10 B
• 20 C
• 30 D

Let A be a square matrix. Then, 1/2 (A-A') is

• Skew-symmetric A
• Symmetric B
• Null C
• None of the above D