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Practice Set 1

Question 1

What is the remainder when 7^100 is divided by 6?

Question 2

Find the greatest number that divides 187, 233 and 325 leaving the same remainder in each case.

Question 3

What is the unit digit of 13^35?

Question 4

The least number which when divided by 12, 18 and 24 leaves remainder 5 is:

Question 5

Find the number of factors of 360.

Question 6

What is the remainder when 3^75 is divided by 7?

Question 7

The greatest 4-digit number divisible by 15 is:

Question 8

Find the HCF of 306 and 657.

Question 9

What is the unit digit of 8^222?

Question 10

Find the LCM of 72 and 120.

Question 11

How many prime numbers are there between 50 and 70?

Question 12

Find the smallest number which when divided by 8, 12, 16 leaves remainder 3.

Question 13

The number of divisors of 216 is:

Question 14

Find the remainder when 10^100 is divided by 7.

Question 15

The least number which when divided by 15, 20 and 25 leaves no remainder is:

Question 16

Find the greatest number which divides 1056 and 1760 leaving remainder 4 in each case.

Question 17

What is the unit digit of 17^23?

Question 18

Find the least 5-digit number exactly divisible by 36.

Question 19

The number of factors of 840 is:

Question 20

Find the remainder when 2^100 is divided by 13.

Question 21

The least number which when divided by 9, 12 and 15 leaves remainder 2 is:

Question 22

Find the HCF of 867 and 255.

Question 23

What is the unit digit of 9^99?

Question 24

The smallest number divisible by 21, 28 and 36 is:

Question 25

How many prime factors does 2310 have?

Question 26

Find the remainder when 5^123 is divided by 8.

Question 27

The greatest 5-digit number divisible by 125 is:

Question 28

Find the LCM of 45, 60 and 75.

Question 29

What is the unit digit of 12^45?

Question 30

Find the number of divisors of 1000.

Question 31

Find the greatest number which divides 148, 246 and 369 leaving the same remainder in each case.

Question 32

What is the remainder when 11^50 is divided by 10?

Question 33

The least number which when divided by 16, 20 and 24 leaves remainder 5 is:

Question 34

Find the HCF of 119 and 544.

Question 35

How many factors does 1210 have?

Question 36

What is the unit digit of 7^2023?

Question 37

Find the remainder when 4^50 is divided by 6.

Question 38

The least number divisible by 18, 24 and 30 is:

Question 39

Find the number of divisors of 512.

Question 40

Find the greatest number which divides 1001 and 1430 leaving remainder 5 in each case.

Question 41

What is the unit digit of 15^27?

Question 42

Find the remainder when 6^100 is divided by 7.

Question 43

How many prime numbers are there between 70 and 100?

Question 44

Find the LCM of 32 and 48.

Question 45

Find the HCF of 221 and 247.

Question 46

The number of factors of 625 is:

Question 47

What is the unit digit of 19^21?

Question 48

Find the remainder when 9^50 is divided by 8.

Question 49

The least number which when divided by 14, 21 and 28 leaves remainder 6 is:

Question 50

Find the number of divisors of 729.

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