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Exercise 5D
umbe
imber
number
er.
mus
mple
equ
1.
Check and tick (7) the common multiple.
(a) Common multiple of 6 and 16 is 32/36/48.
(b) Common multiple of 12 and 18 is 24/36/54.
(c) Common multiple of 9 and 11 is (11 +9)/(11 - 2)/(11 x 9).
2.
Find the LCM by prime factorisation.
(a) 24, 48
(b) 48,96
(c) 12, 16, 18 (d) 93, 42, 6 (e) 24, 25, 40,50
3. Find the LCM by division method.
(a) 88, 22.
(b) 15, 180 (c) 91, 39, 516 (d) 315, 252 (e) 3, 17, 18, 51
4. LCM of two numbers 1550 and 620 is 3100. Find their HCF using the relationship between
HCF and LCM.
5. What is the smallest number which is exactly divisible by 17, 28, 102 and 112?
6. Verify the property "The product of two numbers = The product of LCM and HCF of the
numbers" for the given numbers.
(a) 37 and 29
(b) 70 and 168
O HCF and LCM Stories - Application
5. Example 16: Two bells ring at intervals of 3 minutes and 5 minutes respectively. If they
start ringing together, then after how many minutes will they ring together
2,
again?
Solution: The first bell rings after every 3 minutes, that is, after every 3, 6, 9, 12, 15, 18
21, 24, ... minutes and the second bell rings after every 5, 10, 15, 20, 25, 30, .
minutes. Here the two bells ring together again after 15 minutes because 15
the LCM of 3 and 5.
So, two bells will ring together again after 15 minutes.
Example 17: A milk seller has the following quantities of three varieties of milk in thre
containers 1, 2 and 3 respectively.
Tonned Milk (TM): 400 litres in container 1.
Double Tonned Milk (DTM): 350 litres in container 2.
Full Cream Milk (FCM): 300 litres in container 3.
the
What is the capacity of the largest container that can be used to comple
empty the three containers in a big container in whole number of times?
Solution: To find the required capacity of the container, we need to find the grea
number that exactly divides 300, 350 and 400. That is, we have to find the
5,
1,
TONNED
MILK
DOUBLE FULL CR
TONNED MILK MIL
isor
Answers
Answer:
eque
Exercise 5D
umbe
imber
number
er.
mus
mple
equ
1.
Check and tick (7) the common multiple.
(a) Common multiple of 6 and 16 is 32/36/48.
(b) Common multiple of 12 and 18 is 24/36/54.
(c) Common multiple of 9 and 11 is (11 +9)/(11 - 2)/(11 x 9).
2.
Find the LCM by prime factorisation.
(a) 24, 48
(b) 48,96
(c) 12, 16, 18 (d) 93, 42, 6 (e) 24, 25, 40,50
3. Find the LCM by division method.
(a) 88, 22.
(b) 15, 180 (c) 91, 39, 516 (d) 315, 252 (e) 3, 17, 18, 51
4. LCM of two numbers 1550 and 620 is 3100. Find their HCF using the relationship between
HCF and LCM.
5. What is the smallest number which is exactly divisible by 17, 28, 102 and 112?
6. Verify the property "The product of two numbers = The product of LCM and HCF of the
numbers" for the given numbers.
(a) 37 and 29
(b) 70 and 168
O HCF and LCM Stories - Application
5. Example 16: Two bells ring at intervals of 3 minutes and 5 minutes respectively. If they
start ringing together, then after how many minutes will they ring together
2,
again?
Solution: The first bell rings after every 3 minutes, that is, after every 3, 6, 9, 12, 15, 18
21, 24, ... minutes and the second bell rings after every 5, 10, 15, 20, 25, 30, .
minutes. Here the two bells ring together again after 15 minutes because 15
the LCM of 3 and 5.
So, two bells will ring together again after 15 minutes.
Example 17: A milk seller has the following quantities of three varieties of milk in thre
containers 1, 2 and 3 respectively.
Tonned Milk (TM): 400 litres in container 1.
Double Tonned Milk (DTM): 350 litres in container 2.
Full Cream Milk (FCM): 300 litres in container 3.
the
What is the capacity of the largest container that can be used to comple
empty the three containers in a big container in whole number of times?
Solution: To find the required capacity of the container, we need to find the grea
number that exactly divides 300, 350 and 400. That is, we have to find the
5,
1,
TONNED
MILK
DOUBLE FULL CR
TONNED MILK MIL
isor
I know 2 answer only
Answer:
what your name
you are class 5