wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Practice Set on the Chapter "Number Systems - 3"

Total questions: 120

Worksheet time: 51mins

Name
Class
Date
1.

What is the least number of similar bracelets she can make?

a)

15

b)

25

c)

10

d)

30

2.

How many different types of beads are needed to create 20 bracelets?

a)

5

b)

10

c)

15

d)

20

3.

If each bracelet requires 3 beads, how many beads are needed for 12 bracelets?

a)

36

b)

24

c)

30

d)

18

4.

With Reference to the Previous Question, What is the maximum number of bracelets she can make with 45 beads?

a)

15

b)

20

c)

10

d)

25

5.

Find the LCM for given White Beads and Blue Beads?

a)

600

b)

120

c)

150

d)

400

6.

If she has 60 beads and each bracelet requires 4 beads, how many bracelets can she make?

a)

15

b)

10

c)

12

d)

18

7.

What is the greatest common divisor (GCD) of 24 and 36?

a)

6

b)

12

c)

18

d)

24

8.

How many beads are needed to make 5 bracelets if each bracelet requires 8 beads?

a)

40

b)

30

c)

50

d)

20

9.

If she has 20 bracelets with each colour of beads in it. It is the least number of bracelets, which of the following number of beads she used in the bracelets?

a)

15 Red, 20 White, 25 Blue

b)

40 Red, 60 White, 80 Blue

c)

12 Red, 24 White, 36 Blue

d)

10 Red, 15 White, 30 Blue

10.

If she wants to make 8 bracelets and each bracelet requires 5 beads, how many beads does she need in total?

a)

40

b)

35

c)

45

d)

50

11.

What is the least number of beads needed to make 12 bracelets if each bracelet requires 6 beads?

a)

60

b)

72

c)

48

d)

54

12.

How many bracelets can she make with 100 beads if each bracelet requires 8 beads?

a)

12

b)

10

c)

8

d)

15

13.

If 27 is a factor of a and b, then which of the following is factor of a + b

a)

3

b)

9

c)

27

d)

All of These

14.

If the value of a = 6, b = 2 then what is the minimum value of c so that a is a factor of b + c

a)

4

b)

5

c)

10

d)

7

15.

If a and b are multiples of 8, then which of the following would be the difference of the two numbers?

a)

4

b)

16

c)

1

d)

2

16.

The total number of even prime numbers in the set of natural numbers is:

a)

1

b)

2

c)

3

d)

Cannot be Determined

17.

Which of the following is Composite Number:

a)

31

b)

51

c)

61

d)

91

18.

Which of the following cannot be expressed as sum of two odd primes?

a)

26

b)

34

c)

37

d)

70

19.

Which of the following statements is correct?

a)

Every odd number is prime

b)

Every even number is composite

c)

Every prime number is odd.

d)

None of these

20.

Which of the following pairs of numbers are not twin primes?

a)

(11, 13)

b)

(71, 73)

c)

(81, 83)

d)

(59, 61)

21.

The H.C.F of the largest 2- digit number and smallest 2- digit number is

a)

1

b)

5

c)

90

d)

None of these

22.

If x, y and z are three numbers with H as their H.C.F and L as their L.C.M, then which of the following is incorrect:

a)

H is a factor of x, y and z.

b)

L is a multiple of x, y and z.

c)

H is a factor of L.

d)

None of these

23.

P is product of 5 and the lowest common multiple of 20 and 36. So, 'P' is equal to:

a)

900

b)

530

c)

600

d)

180

24.

Find a number close to 500 which is divisible by 33 and 55:

a)

491

b)

591

c)

495

d)

485

25.

Find the smallest natural number which when divided by 112, 140 and 168 leaves remainder 9 in each case:

a)

1679

b)

1699

c)

1689

d)

1869

26.

Maximum capacity of one tin can be found by obtaining the:

a)

L.C.M of three given quantities of oil

b)

H.C.F of three given quantities of oil

c)

Prime Factorization of any two given quantities

d)

Prime Factorization of only one highest quantity of oil.

27.

Prime Factorization of 180 is:

a)

2 x 3 x 3 x 5

b)

2 x 2 x 3 x 5

c)

2 x 2 x 3 x 3 x 5

d)

2 x 3 x 5

28.

Prime Factorization of 240 is:

a)

2 x 2 x 3 x 5

b)

2 x 3 x 5

c)

2 x 3 x 3 x 5

d)

2 x 2 x 2 x 2 x 3 x 5

29.

What should be the Greatest Capacity of such single tin?

a)

50 litres

b)

60 litres

c)

70 litres

d)

80 litres

30.

Total number of tin required, is:

a)

9

b)

10

c)

11

d)

12

31.

If 208@2 is divisible by 4, then @ can take which of the following values?

a)

1

b)

3

c)

6

d)

Both 1 and 3

32.

The number 6486 is not divisible by which of the following:

a)

2

b)

3

c)

6

d)

9

33.

Which of the following is divisible by both 3 and 9?

a)

7134

b)

8613

c)

5259

d)

All of these

34.

Replace @ by the smallest number to make 35@73 divisible by 3:

a)

0

b)

3

c)

5

d)

6

35.

If a number is divisible by 2, 5 and 10, then its unit digit is:

a)

Either 2, 4, 6, 8 or 0

b)

Either 5 or 0

c)

Only 0

d)

Cannot be Determined

36.

L.C.M of 6, 8 and 9 is:

a)

62

b)

72

c)

70

d)

60

37.

The three bells ring together after every:

a)

72 minutes

b)

62 minutes

c)

520 minutes

d)

80 minutes

38.

After 9:00 a.m. the three bells ring together at:

a)

10 a.m.

b)

10: 20 a.m.

c)

10: 12 a.m.

d)

11 a.m.

39.

How many times the three bells ring together by the end of the day?

a)

10 times

b)

12 times

c)

13 times

d)

14 times

40.

After 12:00 midnight, the three bells first ring together at:

a)

13 : 12 a.m.

b)

12 : 20 a.m.

c)

12 : 30 a.m.

d)

12 : 36 a.m.

41.

Find the L.C.M of 40, 144 and 180

(a)  

42.

401 is a Prime Number.

a)

True

b)

False

43.

From the given list, mark the 2- digit prime numbers, in which both the digits are also prime numbers:

a)

23

b)

37

c)

53

d)

73

e)

91

44.

What is the least number divisible by 16, 20 and 24?

(a)  

45.

Find the sum of all the prime numbers between 1 and 20.

(a)  

46.

Find the H.C.F of 36, 56, 86.

(a)  

47.

Find the H.C.F of the Numbers 276, 348 and 444.

(a)  

48.

226180 is divisible by:

a)

2

b)

3

c)

5

d)

All of These

e)

None of These

49.

438340 is divisible by:

a)

3

b)

4

c)

8

d)

10

e)

All of These

50.

State whether the numbers 27 and 29 are Twin- Primes or Co- Primes?

a)

They are Twin- Primes

b)

They are Co- Primes

51.

Find the value of * so that the number 78*964 is divisible by 9?

(a)  

52.

Find the value of * so that the number 75* is divisible by 4?

(a)  

53.

Find the value of * so that the number 2*345 is divisible by 3?

(a)  

54.

Which Number is a factor of every number?

(a)  

55.

What is the product of the digits of the number which is 16 more than the HCF of 12 and 144?

(a)  

56.

610 is divisible by 12:

a)

True

b)

False

57.

121 is divisible by 10:

a)

True

b)

False

58.

432 is divisible by 11:

a)

True

b)

False

59.

2817 is divisible by 3:

a)

True

b)

False

60.

8th Multiple of 15 is:

(a)  

61.

What is the smallest prime number greater than 10?

a)

11

b)

13

c)

17

d)

19

62.

If a number is divisible by both 4 and 6, what is the least possible value of that number?

a)

12

b)

24

c)

36

d)

48

63.

Which of the following numbers is a perfect square?

a)

15

b)

25

c)

30

d)

50

64.

Even Prime Number is:

(a)  

65.

What is the least common multiple (L.C.M) of 15 and 25?

a)

75

b)

100

c)

50

d)

25

66.

Which of the following numbers is a prime number?

a)

39

b)

41

c)

51

d)

57

67.

If a number is divisible by 6, what can be said about its unit digit?

a)

It can be 0, 2, 4, 6, or 8

b)

It must be 0

c)

It can be 0 or 6

d)

It can be any digit

68.

Number that ends with digit 0 and 5 is always divisible by 5:

a)

True

b)

False

69.

What is the least common multiple (LCM) of 4, 6, and 10?

a)

60

b)

40

c)

20

d)

30

70.

L.C.M of 18, 24 and 27 is:

(a)  

71.

Which of the following is a prime number:

a)

15

b)

29

c)

49

d)

77

72.

The sum of three odd numbers is even:

a)

True

b)

False

73.

The sum of two odd numbers and one even number is even.

a)

True

b)

False

74.

The product of three odd numbers is odd.

a)

True

b)

False

75.

If an even number is divided by 2, the quotient is always odd.

a)

True

b)

False

76.

Which of the following numbers is divisible by 11?

a)
253614
b)
542146
c)
4126547
77.

Tick the Numbers which are divisible by 15?

a)
27326
b)
73545
c)
45326
d)
9076185
78.

Which one of the following numbers is divisible by 3?

a)
27326
b)
42356
c)
73545
d)
45326
79.

Which of the following numbers is divisible by 4?

a)
8675231
b)
9843212
c)
1234567
d)
543123
80.

Which of the following numbers is divisible by 6?

a)
7908432
b)
68719402
c)
45982024
d)
24567891
81.

Which of the following numbers is divisible by 8?

a)
87653234
b)
78956042
c)
64298602
d)
98741032
82.

Which of the following numbers is divisible by 9?

a)
9076185
b)
92106345
c)
10349576
d)
95103476
83.

Which of the following numbers is divisible by 11?

a)
1111111
b)
22222222
c)
3333333
d)
4444444
84.

If 1*548 is divisible by 3, then what is the value of * ?

a)
0
b)
2
c)
7
d)
8
85.

5*2 is a three digit number with * as a missing digit. If the number is divisible by 6, the missing digit is:

a)
2
b)
3
c)
6
d)
7
86.

What least value should be given to * so that the number 6342*1 is divisible by 3?

a)
0
b)
1
c)
2
d)
3
87.

What least value should be given to * so that the number 915*26 is divisible by 9?

a)
1
b)
4
c)
2
d)
6
88.

What least value should be given to * so that the number 653*47 is divisible by 11?

a)
1
b)
2
c)
6
d)
9
89.

What least value should be given to * so that the number 63576*2 is divisible by 8?

a)
1
b)
2
c)
3
d)
4
90.

Which one of the following numbers is exactly divisible by 11?

a)
235641
b)
245642
c)
315624
d)
415624
91.

What least value should be given to * so that the number *6724 is divisible by 3?

a)
3
b)
4
c)
2
d)
1
92.

Which of the following numbers is divisible by 6?

a)
1258
b)
61233
c)
901352
d)
1790184
93.

Which of the following numbers is divisible by 11?

a)
7138965
b)
10000001
c)
10834
d)
901154
94.

Which of the following numbers is not divisible by 4?

a)
78536
b)
1264
c)
6421
d)
7935
95.

What least number should be replaced by * so that the number 37610*2 is exactly divisible by 9?

a)
8
b)
7
c)
6
d)
5
96.

If the number 2345a60b is exactly divisible by 3 and 5, then the maximum value of a + b is:

a)
12
b)
13
c)
14
d)
15
97.

If 1*548 is divisible by 3, which of the following digit can replace the *?

a)
0
b)
2
c)
7
d)
9
98.

532460 is not divisible by:

a)
10
b)
5
c)
3
d)
4
99.

Without actual division, find which of the following numbers is exactly divisible by 2, 3 and 5?

a)
185
b)
5875
c)
3540
d)
709
100.

7120 is not divisible by:

a)
5
b)
10
c)
6
d)
8
101.

If a number is divisible by 2, 5 and 10, then its unit digit is:

a)
Either 2, 4, 6, 8 or 0
b)
Either 5 or 0
c)
Only 0
d)
Cannot be determined
102.

Replace * by the smallest number to make 35*73 divisible by 3?

a)
0
b)
3
c)
5
d)
6
103.

The number 6486 is not divisible by which of the following?

a)
2
b)
3
c)
6
d)
9
104.

Sum of two prime numbers is always even.

a)

True

b)

False

105.

All Even Numbers are Composite Numbers.

a)

True

b)

False

106.

Find the Greatest number which divides 285 and 1249, leaving remainders 9 and 7 respectively.

a)

135

b)

136

c)

137

d)

138

107.

Find the Greatest Number of 6 digits exactly divisible by 24, 15 and 36?

a)

999720

b)

999999

c)

999920

d)

999990

108.

The Smallest Number which when diminished by 3 is divisible by 14, 28, 36 and 45 is:

a)

1257

b)

1260

c)

1263

d)

None of These

109.

The Sum of the Prime Numbers between 60 and 75 is:

a)

199

b)

201

c)

211

d)

272

110.

Which of the following pairs of numbers is co- primes?

a)

39, 91

b)

161, 192

c)

385, 462

d)

189, 243

111.

The least 5- digit number which is exactly divisible by each of 2, 3, 4, 5,6 and 7 is:

a)

9650

b)

420

c)

10080

d)

9660

112.

The H.C.F of two numbers is 23 and their L.C.M is 1449. If one of the numbers is 161, then find the other:

a)

207

b)

23

c)

211

d)

209

113.

The number of numbers having exactly one factor is:

a)

0

b)

2

c)

1

d)

3

114.

Eight added to 9th multiple of 11 gives:

a)

170

b)

107

c)

19

d)

91

115.

What is the sum of prime numbers between 11 and 20?

a)

40

b)

59

c)

49

d)

50

116.

Replace 'y' by the non- zero digit, if the number 68y70 is divisible by 6:

a)

2

b)

3

c)

1

d)

4

117.

The sum of the factors of 35 is:

a)

84

b)

13

c)

40

d)

48

118.

I am the fifth multiple of the LCM of 2 and 7. What number am I?

a)

80

b)

70

c)

75

d)

65

119.

The least prime number with consecutive digits is:

a)

43

b)

19

c)

53

d)

23

120.

Which of the following is not a pair of twin primes between 10 and 40?

a)

(11, 13)

b)

(21, 23)

c)

(17, 19)

d)

(29, 31)