When $7^{30}$ is divided by $5$, the remainder 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 49

Which of the following statement is true?

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 50

If $-23\equiv 29(\mathrm{mod} x)$ then $x$ can take the value?

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 51

If $7x\equiv 3(\mathrm{mod} 5)$then $x$ can take value?

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 52

The last digit in $3^{123}$ 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 53

The least positive integer to which $89\times 111\times 135$ is congruent modulo $11$ 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 54

Which of the following statement is false ?

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 55

If $a, b, c$ are different integers and $(a, b)=c$, which of the following is true ?

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 56

The GCD of $231$ and $429$ is?