KEY AND SOLUTIONS

1. VI-MATHEMATICS RATIONAL NUMBERS
3AIMSOLYMPIAD ACADEMY
1. D
2. B
3. D
4. C
5. C
6. B
7. A
8. B
9. D, Note : b =0
10. A
11. B;
1
2
2
  =
4 1
2
 
=
3
2

12. C;
5
16
,
1
2

5
16
,
8
16

7
( )
16
T
5
16
,
1
2

10
32
,
16
32

13
62
(T)
5
16
,
1
2

2.5
8
,
4
8

3
8
(T)
5
16
,
1
2

1.25
4
,
2
4

1
4
(F)
13. B
14. A;
5
7
= 0.71,
7
9
= 0.77,
7
11
= 0.81,
11
13
=0.84
15. B;
54
24
=
9
4
m
16. C;
7 19
12 10
 =
35 114
60

=
149
60
17. C
18. D
19. D;
5 1 1
6 4 8
  =
20 6 3
24
 
=
17
24
RATIONAL NUMBERS1
VI MATHS
20. A
21. A;
27 3
13 7
x

  
228
91
22. A
23. No Answer :
29
1
46
 
 
 
(or)
58
1
92
Sol: -
50 3
4 23
 =
150
92
=
75
46
=
29
1
46
24. B;
3 2
4 3
x
 
  
 
=
1
6

9 8 1
12 6
x
 
   
 
1 1
12 6
x  
x =
1 1
12 6

x =
1 2
12

=
3
12
=
1
4
25.B
51 3
4 23
 = Rs.
153
92
26. A, C
27. B, C, D
28. A, B, C
29. A, B
30. C, D
31. A
32. D
33. A

2. RATIONAL NUMBERS VI-MATHEMATICS
AIMSOLYMPIAD ACADEMY4
34. C
 Between 2&3
 2.5 =
25
10
=
5
2
Improper fractiion
35. 0
36. 8
37. 2
38. 6
39. A;
18 35 12
30
 
=
5
30

=
1
6

40. B
41. D;
5 21 2
7
  
=
18
7
42. D;
2 7 2 8
3 10 3 9
 
   =
2 7 2 8
3 10 3 9
 
  
=
 82 7
3 10 9
 
 
 
43. C
44. A
45. B (or) C (preferable)
46. A; 0.424 =
424
1000
=
53
125
47. D; 2+ 3 = 2+1.732 = 3.732
48. B
49. B;
1 2
5 7
 =
7 10
35

=
17
35
Multiplicative Inverse of
17
35
=
35
17
50. A;
2 3 4 15 19
5 2 10 10

  
M.I. of
19
10
=
10
19
51. D;
5 3
7 11
 =
55 21
77

=
76
77
M.I. of
76
77
=
77
76
52. C;
1 1
9 6
 =
2 3
18

=
5
18
M.I. of
5
18
=
18
5
53. A;
4 14 2
7 2 3
 
=
4 14 3
7 3 2
  = 4
54. A
3 Shares =
4
49
5
=
249
5
H
1 share =
249
5 3
=
83
5
=
3
16
5
Hectares
55. A
56. D
57. A;
3 + 3 = 2 3 Q1
3 – 3 × 3 = 3 –3Q1
3  3 = 1Q
58. D
59. C;
1
3
=
1 10
3 10
 =
10
30
4
5
=
4 6
5 6
 =
24
30
Between
10 24
&
30 30
is
17
30
60. A;
2
3
 < 0 (Left side)