mathematics spsc bps-17

In echolon form of the matrix the first nonzero entry is called
(a) first entry
(b) leading entry
(c) Diagonal entry
(d) preceding entry

Which of the following statement is true
(a) A vector field with zero divergence is said to be solenoidal
(b) A vector field with zero curl is said to be irrotational
(c) A scalar field with zero gardient is said to be constant
(d) All are true

The square matrix A is orthogonal then determinant of A is
(a) 1
(b) -1
(c) both a and b
(d) zero

What is a symmetric matrix?
(a) A matrix equal to its own transpose
(b) A matrix not equal to its own transpose
(c) A matrix with all entries equal to zero
(d) A matrix with at least one entry equal to zero

1. What is a function?
a) A relation between two sets of variables
b) A relation between two sets of constants
c) A relation between a set of inputs and a set of possible outputs
d) A relation between a set of outputs and a set of possible inputs

What is the Euclids lemma used for in number theory
(a) finding GCD of two numbers
(b) Determining if number is prime or composite
(c) solving linear congruence
(d) none of these

Which of the following definition of rank is valid
(a) the number of linearly independent row in a matrix is called rank
(b) number of linearly independent column in a matrix is called rank
(c) both a and b
(d) none

The LCM and HCF of two rational number are equal then the number must be
(a) prime
(b) coprime
(c) composite
(d) equal

Euclids division lemma state that for any two positive integers a and b there exist a unique integer q and r such that a=bq+r where r must satisfy
(a) 1

1. An alternating series is a series whose terms alternate in:
a) Sign
b) Magnitude
c) Both sign and magnitude
d) Neither sign nor magnitude

What is the key characteristic of a parallel projection?

a) It preserves angles between lines
b) It preserves lengths of lines
c) It preserves both angles and lengths of lines
d) It does not preserve angles or lengths of lines

In general equation of line Y=mx+c where
(a) m is gradient and c is x intercept
(b) m is slope and c is y intercept
(c) m is inclination and c is y intercept
(d) none of these