Practice the AP 6th Class Maths Bits with Answers Chapter 3 HCF and LCM on a regular basis so that you can attempt exams with utmost confidence.
AP State Syllabus 6th Class Maths Bits 3rd Lesson HCF and LCM with Answers
I. Choose the correct answer and write it in the brackets.
Question 1.
If any number has 0, 2, 4, 6 or 8 in its ones place, then it is divisible by ……………..
A) 2
B) 4
C) 6
D) 8
Answer:
A) 2
Question 2.
If any number is divisible by both 2 and 3, then it is divisible by ………………
A) 2
B) 4
C) 6
D) 8
Answer:
C) 6
Question 3.
If the sum of the digits of a number is divisible by 9, then the number is divisible by …………….
A) 3
B) 4
C) 6
D) 9
Answer:
D) 9
Question 4.
The numbers with zero at ones place are divisible by ……………..
A) 2
B) 5
C) 10
D) All of the above
Answer:
D) All of the above
Question 5.
In any number if the number formed by the last two digits is divisible by 4, then the number is divisible by …………………
A) 2
B) 4
C) 6
D) 8
Answer:
B) 4
Question 6.
Which of the following number is divisible by 6?
A) 125734
B) 237197
C) 237192
D) 726352
Answer:
C) 237192
Question 7.
Number divisible by 11 is
A) 10934
B) 726351
C) 7138965
D) 376845
Answer:
A) 10934
Question 8
………………… is the factor of every number.
A) 0
B) 2
C) 5
D) 1
Answer:
D) 1
Question 9.
The number which is divisible by 1 and itself is called ………………
A) Composite number
B) Prime number
C) Even number
D) Odd number
Answer:
B) Prime number
Question 10.
Smallest even prime number is ………………..
A) 4
B) 3
C) 2
D) 5
Answer:
C) 2
Question 11.
Smallest even composite number is ……………….
A) 2
B) 4
C) 6
D) 8
Answer:
B) 4
Question 12.
Number 1 is …………….
A) Prime
B) Composite
C) Both A and B
D) Neither A nor B
Answer:
B) Composite
Question 13.
Every prime number other than 2 is ………………
A) even
B) composite
C) odd
D) A and B
Answer:
C) odd
Question 14.
If the difference of any two prime numbers is 2, then they are said to be
A) Twin primes
B) Co-primes
C) Perfect numbers
D) Exact numbers
Answer:
A) Twin primes
Question 15.
The method of division which is used to find HCF was invented by the Mathematician ……………….
A) Ramanujan
B) Euclid
C) Aditya
D) Kaprekar
Answer:
B) Euclid
Question 16.
HCF means ………………..
A) Highest Common Factor
B) Highest Continued Factor
C) Hight of the Common Factor
D) Highest composite factor
Answer:
A) Highest Common Factor
Question 17.
The product of two numbers =
A) L.C.M
B) H.C.F
C) L.C.M × H.C.F
D) H.C.F × G.C.D
Answer:
C) L.C.M × H.C.F
Question 18.
HCF of 80 and 56 is ………………
A) 2
B) 4
C) 1
D) 8
Answer:
D) 8
Question 19.
LCM of 45 and 90 is ……………..
A) 180
B) 45
C) 90
D) 15
Answer:
C) 90
Question 20.
What is the HCF of any pair of coprimes?
A) 2
B) 3
C) 1
D) 0
Answer:
C) 1
Question 21.
Which of the following is a pair of coprimes?
A) (30, 35)
B) (99, 21)
C) (3, 5)
D) (63, 45)
Answer:
C) (3, 5)
Question 22.
The factors of 12 are ………………
A) 1, 2, 3
B) 1, 2, 3, 4
C) 1, 2, 3, 4, 6
D) 1, 2, 3, 4, 6, 12
Answer:
D) 1, 2, 3, 4, 6, 12
Question 23.
Which of the following is not a prime?
A) 81
B) 71
C) 31
D) 41
Answer:
A) 81
Question 24.
The product of two numbers is 360. If HCF is 9, then their LCM is …………….
A) 20
B) 40
C) 60
D) 80
Answer:
B) 40
Question 25.
Every polyndrome number is divisible by ……………..
A) 3
B) 5
C) 7
D) 11
Answer:
D) 11
II. Fill in the blanks.
1. The process of checking whether a number is divisible by a given number or not without actual division is called …………….. for that number.
Answer:
Divisibility rule
2. If the sum of the digits of a number is a multiple of 3, then that number is divisible by ……………….
Answer:
3
3. The numbers with zero or five at ones place are divisible by ………………
Answer:
5
4. The numbers which are divisible by 5 and 2 are divisible by ………………
Answer:
10
5. In any number with 4 or more digits the number formed by the last three digits
is divisible by 8, then the number is divisible by ……………….
Answer:
8
6. In a number if the difference between the sum of the digits at odd places and the sum of the digits at even places from the right is either 0 or a multiple of 11, then the number is divisible by ……………..
Answer:
11
7. A number which divides the other number exactly is called …………….. of the number.
Answer:
Factor
8. Numbers that have more than two factors are called …………….. numbers.
Answer:
Composite
9. Smallest prime number is ……………
Answer:
2
10. Smallest odd prime is ……………..
Answer:
3
11. Smallest odd composite is ……………..
Answer:
9
12. The numbers with only 1 as a common factor are called …………….
Answer:
Co-prime (or) relatively prime
13. If the sum of all factors of a number is two times the number, then the number is called …………………..
Answer:
Perfect number
14. The process to express the given number as the product of prime number is called …………………
Answer:
Prime factorization
15. G.C.D means ………………
Answer:
Greatest Common Divisor
16. L.C.M means ………………
Answer:
Least Common Multiple
17. HCF is also known as ……………….
Answer:
Greatest Common Divisor (GCD)
18. LCM × HCF = ……………..
Answer:
Product of two numbers
19. Kaprekar’s constant is ……………..
Answer:
6174
20. The LCM of 21, 35, 40 is ………………
Answer:
210
21. HCF of 3, 5 and 7 is ……………..
Answer:
1
22. If the HCF and LCM of two numbers are 1 and 91, then the product of two
numbers is ………………
Answer:
91
23. The nearest number to 2020 which is divisible by 11 is ……………..
Answer:
2024
24. The smallest number which and when 7 is subtracted from it is exactly divisible by 7, 8, 9 is ……………
Answer:
511
25. The greatest 3-digited number which is divisible by 26, 14, 91 leaves the remainder 7 is ……………..
Answer:
182
III. Match the following :
A)
| Divisibility Rule | Number |
| 1) If sum of the digits of a number divisible by 3 | a) 6 |
| 2) Number has 0, 2, 4, 6, 8 in units place | b) 4 |
| 3) Number formed by the last two digits (from the right) is divisible by 4 | c) 5 |
| 4) If the number is divisible by 2 and 3 | d) 3 |
| 5) If the number Has 0 or 5 in units place | e) 2 |
Answer:
1) – d) 3
2) – e) 2
3) – b) 4
4) – a) 6
5) – c) 5
B)
| Divisibility Rule | Number |
| 1) Difference of the digits in the odd and even places is divisible by 11 | a) 10 |
| 2) Number formed by the last three digits (from the right) is divisible by 8 | b) 9 |
| 3) If the number has 0 in the units place | c) 12 |
| 4) If the sum of the digits is divisible by 9 | d) 11 |
| 5) If the number is divisible by 3 and 4 | e) 8 |
Answer:
1) – d) 11
2) – e) 8
3) – a) 10
4) – b) 9
5) – c) 12