The least remainder when ${17}^{30}$ is divided by $5$ is :

Important Questions on Elements of Number Theory and Congruence

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 96

The last digit of $7^{300}$ is :

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 97

The digit in the units place in the number $7^{289}$ is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 98

When $2^{301}$ is divided by $5$, the least positive remainder 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 99

If $a\ne 0, b\ne 0$ are any two integers then

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 100

If $(a, b) = d$ then $(\frac{a}{d}, \frac{b}{d})=$

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 101

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 102

The last digit of the number ${11}^{132}$ is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 16 - Elements of Number Theory and Congruence>Exercise 1>Q 103

$3x\equiv 4\left|6\right|$ has