#### T2 - Numbers

6th Standard

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 60

Part - A

10 x 1 = 10
1. The difference between two successive odd numbers is

(a)

1

(b)

2

(c)

3

(d)

0

2. The only even prime number is

(a)

4

(b)

6

(c)

2

(d)

0

3. Which of the following numbers is not a prime?

(a)

53

(b)

92

(c)

97

(d)

71

4. The sum of the factors of 27 is

(a)

28

(b)

37

(c)

40

(d)

31

5. The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

(a)

80

(b)

100

(c)

128

(d)

160

6. The prime factorisation of 60 is 2 $\times$ 2 $\times$ 3 $\times$ 5. Any other number which has the same prime factorisation as 60 is

(a)

30

(b)

120

(c)

90

(d)

impossible

7. If the number 6354 * 97 is divisible by 9, then the value * is

(a)

2

(b)

4

(c)

6

(d)

7

8. The number 87846 is divisible by

(a)

2 only

(b)

3 only

(c)

11 only

(d)

all of these

9. Which of the following pairs is co-prime?

(a)

51, 63

(b)

52, 91

(c)

71, 81

(d)

81, 99

10. The greatest 4 digit number which is exactly divisible by 8, 9 and 12 is

(a)

9999

(b)

9996

(c)

9696

(d)

9936

11. Fill in the blanks

5 x 1 = 5
12. The number of prime numbers between 11 and 60 is________.

()

12

13. The numbers 29 and________ are twin primes.

()

31

14. 3753 is divisible by 9 and hence divisible by _________ .

()

3

15. The number of distinct prime factors of the smallest 4 digit number is ___________

()

2

16. The sum of distinct prime factors of 30 is_______.

()

10

17. Part - B

10 x 2 = 20
18. Express 42 and 100 as the sum of two consecutive primes.

19. Express 31 and 55 as the sum of any three odd primes.

20. Write the smallest and the biggest two digit prime number.

21. Write the smallest and the biggest three digit composite number.

22. The sum of any three odd natural numbers is odd. Justify this statement with an example.

23. The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pairs exist upto 100.

24. Your friend says that every odd number is prime. Give an example to prove him/her wrong.

25. Each of the composite numbers has atleast three factors. Justify this statement with an example.

26. Find the dates of any month in a calendar which are divisible by both 2 and 3.

27. I am a two digit prime number and the sum of my digits is 10. I am also one of the factors of 57. Who am I?

28. Part - C

5 x 3 = 15
29. Find the HCF of the numbers 40 and 56 by division method.

30. What is the greatest number that will divide 62, 78 and 109 leaving remainders 2, 3 and 4 respectively?

31. Find the ratio of the HCF and the LCM of the numbers 18 and 30.

32. Find the smallest number that can be divided by 254 and 508 which leaves the remainder 4.

33. What is the smallest 5 digit number that is exactly divisible by 72 and 108?

34. Part - D

2 x 5 = 10
35. Find the HCF of the numbers 18, 24 and 30 by factor tree method.

36. Find the LCM of 156 and 124.