Verify whether the following numbers are in proportion part (a) 21,16,35,10
Answers
Step-by-step explanation:
In this page we have NCERT Solutions for Class 6 Maths Ratio and proportion Chapter 12 Exercise 12.2 and 12.3. Hope you like them and do not forget to like , social share and comment at the end of the page.
Exercise 12.2
Question 1
Determine if the following are in proportion.
(a) 15, 45, 40, 120
(b) 33, 121, 9, 96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100
Answer
If the ratio of first to the second is equal to ratio to third to the fourth, these will be in proportion
S.no
Problem
First to second ratio
third to fourth ratio
Answer
a)
15, 45, 40, 120
15
45
=
1
:
3
40
120
=
1
:
3
Yes
b)
33, 121, 9, 96
33
121
=
3
:
11
9
96
=
3
:
23
No
c)
24, 28, 36, 48
24
28
=
6
:
7
36
48
=
3
:
4
No
d)
32, 48, 70, 210
32
48
=
2
:
3
70
210
=
1
:
3
No
e)
4, 6, 8, 12
4
6
=
2
:
3
8
12
=
2
:
3
yes
f)
33, 44, 75, 100
33
44
=
3
:
4
75
100
=
3
:
4
yes
Question 2
Write True (T) or False (F) against each of the following statements:
(a) 16:24::20:30
(b) 21:6::35:10
(c) 12:18::28:12
(d) 8:9::24:27
(e) 5.2:3.9::3:4
(f) 0.9:0.36::10:4
Answer
If the ratio of first to the second is equal to ratio to third to the fourth, these will be in proportion
S.no
Problem
First to second ratio
third to fourth ratio
Answer(T/F)
a)
16:24::20:30
16
24
=
2
:
3
20
30
=
2
:
3
True
b)
21:6::35:10
21
6
=
7
:
2
35
10
=
7
:
2
True
c)
12:18::28:12
12
18
=
2
:
3
28
12
=
7
:
3
False
d)
8:9::24:27
8:9
24
27
=
8
:
9
False
e)
5.2:3.9::3:4
5.2
3.9
=
4
:
3
3:4
False
f)
0.9:0.36::10:4
.9
.36
=
90
36
=
10
4
10:4
True
Question 3
Are the following statements true?
(a) 40 persons: 200 persons = Rs 15: Rs 75
(b) 7.5 litres: 15 litres = 5 kg: 10 kg
(c) 99 kg: 45 kg = Rs 44: Rs 20
(d) 32 m: 64 m = 6 secs: 12 sec
(e) 45 km: 60 km = 12 hours: 15 hours
Answer
S.no
Problem
Left hand side ratio
Right hand side ratio
Answer(T/F)
a)
40 persons: 200 persons = Rs 15: Rs 75
40
200
=
1
:
5
15
75
=
1
:
5
True
b)
7.5 litres: 15 litres = 5 kg: 10 kg
7.5
15
=
1
:
2
5
10
=
1
:
2
True
c)
99 kg: 45 kg = Rs 44: Rs 20
99
45
=
11
:
5
44
20
=
11
:
5
True
d)
32 m: 64 m = 6 secs: 12 secs
32
64
=
1
:
2
6
12
=
1
:
2
True
e)
45 km: 60 km = 12 hours: 15 hours
45
60
=
3
:
4
12
15
=
4
:
5
False
Answer:
verify whether the following numbers are in proportion