10. Find all the numbers between 35 and 55 that are divisible by
(a) 2
(b) 5
(c) 10
(d) 2 as well as 5
(e) 5 as well as 10
(1) 2 as well as 3
Answers
a) 36,38,40,42,44,46,48,50,52,54
b) 40,45,50
c)40,50
d) 40,50
e)40,50
Answer:
To find : to test divisibility of numbers between 35 and 55
Now, numbers between 35 and 55 are : 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 , 48, 49, 50, 51, 52, 53, 54.
a) divisibility test of 2 : A number is divisible by 2 if the last digit of the number is 0, 2, 4, 6, or 8.
hence , 36, 38, 40, 42, 44, 46, 48, 50, 52, 54 are divisible by 2.
b) divisibility test of 5 : The divisibility rule of 5 states that if the digit on the units place, that is, the last digit of a given number is 5 or 0, then such a number is divisible by 5.
hence , 40, 45, 50 are divisible by 5.
c) divisibility test of 10: A number is divisible by 10 if the last digit of the number is 0.
hence, 40 and 50 are divisible by 10.
d) divisible by 2 as well as 5 : according to divisibility test of 2 and 5 we conclude that 40 and 50 both are divisible by 2 as well as 5.
e) divisible by 5 as well as 10 :according to divisibility test of 5 and 10 we conclude that 40 and 50 are divisible by 5 as well as 10.
divisibility test of 3 : a number is said to be divisible by 3 if the sum of all digits of that number is divisible by 3.
hence , 36, 42, 45, 48, 51, 54 are divisible by 3.
f) divisible by 2 as well as 3 :
36, 42, 48, 54 are divisible by both 2 and 3.