$(531,837)$ is

Important Questions on Elements of Number Theory and Congruence

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 24

Two integers a and b that leave the same remainder when divided by a positive integer m are 

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 25

If $(15,25)=15m+25n$ then $m$ and $n$ are respectively

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 26

The numbers $-1, 0, 1$ are

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 27

$a\equiv b(\mathrm{mod} m)$ if and only if

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 28

If $x, y, z, w$ are such that $xy=z-w$ then

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 29

The remainder obtained on dividing $34\times 36\times 39$ by $38$ is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 30

The congruence $ax\equiv b(\mathrm{mod} m)$ has a unique solution if

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 31

The remainder obtained on dividing $64\times 65\times 66$ is divided by $67$ is: