# AP 6th Maths Mock Test 2021 For Chapter – 3 : ” H.C.F an L.C.M ” Online Practice Test

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1. HCF stands for
2. LCM stands for
3. The process of checking whether a number is divisible by given number or not without actual division is called
4. A number divisible by 2 when it has
5. Which of the following has divisible by 2 ?
6. Which of them is a divisibility rule of 3 ?
7. Which of the following is not divisible by 3 ?
8. A number divisible by both 2 and 3 then it is also divisible by
9. Which of the following has divisible by 6 ?
10. A number divisible by ... , if sum of the digits of a number is divisible by 9
11. Which of the following is divisible by 9 ?
12. Which of the following is divisibility rule for 5 ?
13. Which of the following has not divisible by 5 ?
14. Divisibility rule of 10 is
15. Which of them are not divisible by 10 ?
16. " If the number formed by its last 2 digits is divisible by 4 , and also zeroes on both places " it is divisibility rule of
17. Find the numbers which are divisible by 4
18. Divisibility rule of 8 is
19. Which of the following is divisible by 8 ?
20. The difference between the sum of digits at odd places and sum of digits at even places is either................ or ............ , then it is divisible by 11
21. Numbers divisible by 11 are
22. Which of the following is divisible by 2 ,3 and 6 ?
23. Which of the following has divisible by both 5 and 10 ?
24. Write the smallest number which is divisible by both 5 and 10
25. Write the nearest number to 12345 which is divisible by 4
26. Which of the following are divisible by 8 ?
27. Write the greatest four digit number which divisible by both 3 and 9 ?
28. Find the smallest number that must be added to 128 , so that it becomes exactly divisible by 5
29. Find the polindrome
30. Which of the following is correct statement about polindrome ?
31. The exact divisor of given number is
32. Which of the following is false statement about factors ?
33. A number for which sum of all its factors is equal to twice the number is called
34. Perfect numbers are
35. The numbers whose only factors are 1 and number itself are called
36. The numbers having more than 2 factors are called
37. Find the prime numbers
38. Find the composite numbers
39. Find the smallest prime number
40. Find the smallest composite number
41. What is the smallest odd prime number ?
42. What is the smallest odd composite number ?
43. Prime numbers has ............... factors
44. Composite numbers has ............... factors
45. Two prime numbers are said to be twin primes , if they differ each other by ..............
46. Two prime numbers are said to be ............................. , if they differ each other by 2
47. Give an examples for twin primes
48. Write the greatest prime number between 50 and 100
49. Express the 18 as sum of two odd primes
50. Write two prime numbers whose difference is 2
51. The process to express the given number as the product of prime numbers is called
52. Prime factorization of 30 is expressed as
53. In prime factorization of 100 the factors are
54.
55. The following is
56. Common factor fro 2 , 5 is
57. HCF of 2 or more given numbers is the
58. LCM of 2 or more given numbers is the
59. HCF of 12 and 18 is
60. GCD stands for
61. GCD is also known as
62. Euclid was a
63. The prime factorization method of finding HCF was invented by
64. HCF of 32 and 40 is
65. HCF of 40 , 56 and 60 is
66. LCM of 4 and 6 is
67. LCM of 21 , 35 and 42 is
68. LCM of 24 and 90 is
69. Product of LCM and HCF of two numbers =
70. HCF of twin prime numbers is
71. HCF = 5 , LCM = 10 and one of the number is 25 then find the other number
72. Find the smallest number which when added to 5 is exactly divisible by 12 , 14 , 18
73. 2 bells ring together . If the bells ring at every 3 minutes and 4 minutes respectively , at what time will they ring together again ?
74. 2 milk cans have 60 and 165 litres of milk . Find a can of maximum capacity which can exactly measure the milk in 2 cans
75. 3 water cans have 403 , 434 and 465 litres of water . Find a can of maximum capacity which can exactly measure the water in 3 cans
76. Find the number that is divisible by both 5 and 11 by adding 5 to it?
77. Find the number that is divisible by 2 , 3 , 6  and 10 ?
78. Two tankers contain 850 litres and 680 litres of Keroscene oil respectively . Find the maximum capacity of container which can measure the Keroscene oil of both tankers
79. HCF of 32 and 40
80. The GCD of 11 and 13
81. Find the polindrome
82. Factor tree method for 24 is
83. Factors for 15 is
84. Factors for 31 is
85. Number of factors for 25 is
86. Every number has minimum ...... factors
87. Number of factors for 24
88. Match the following
1. 242 is divisible by      ( ) a. 10
2. 2304 is divisible by   ( ) b. 2
3. 1980 is divisible by    ( ) c. 3
89. Match the following
1. 4          ( ) a. 1 , 3
2. 3          ( ) b. 1 , 4 , 2
3. 15        ( ) c. 1 , 5 , 3
90. A : Prime numbers are having only 2 factors
B : Prime numbers having one factor must be 1
91. A : A number with zero or five at ones place are divisible by 5
B : 23 , 45 , 10 are multiples of 5
92. A : A number with zero at ones place are divisible by 10
B : The number divisible by both 5 and 2 are also divisible by 10
93. Find the true statement
94. Find the false statement
95. The difference between twin primes are always
96. Write 2 primes numbers whose difference is 11 ?
97. Write 2 primes numbers whose difference is 10 ?
98. HCF = 6 , LCM = 4 and one of the number is 12 then find the other number
99. Find the smallest number which when added to 1 is exactly divisible by 2 , 5 , 10
100. How many prime numbers are there between 1 and 100 ?