Last years QP of mathematics part-10
Saturday, 24 March 2018
10_Answer sheet of A.P. U-5 P-7
31. d= 8
32. am+n = 0
33. a= 8, d= 3, AP= 5,8,11
34. a= 3, d= 2, a28= 57
10_Answer sheet of A.P. U-5 P-6
26. a= 8, d= 2, a(29)= 64
27. (i) a= 17, d= -1, a(10)= 8
(ii) n= 5, a(n)= 34
28. a(20)= 77
29. x= 5
30. a(25)= 3 x a(11)
27. (i) a= 17, d= -1, a(10)= 8
(ii) n= 5, a(n)= 34
28. a(20)= 77
29. x= 5
30. a(25)= 3 x a(11)
10_Answer sheet of A. P. U-5 Part-5
21. a= -1, d= 3, S(51)= 3774
22. n= 31st
23. a(4)= 40
24. a= -93/2, d= 7, AP= -93/2, -79/2
25. n= 16th
22. n= 31st
23. a(4)= 40
24. a= -93/2, d= 7, AP= -93/2, -79/2
25. n= 16th
10_Electrical wires
Electrical
wires
Electrical wires follow standard color coding that helps
classify each wire function in the circuit. In India wires are RGB mode i.e. Red-
Green- Black. Each of these RGB wire have different functions.
Red – Red wire signifies the phase in electric
circuit. It is the live wire which cannot be connected to another red wire or
black wire. Red is used in some types of switch leg. Switch leg is the wire
that comes off from the bottom terminal of a switch and when the switch is
turned on becomes hot. This is the leg that turns the load off and on.
Black – Black wires signifies neutral wire in
electric circuit. The neutral wires is connected to neutral bus bar inside an
electric panel. A bus bar is and conductive metal bar that attracts the
electric current for distribution purpose.) Black wire can be connected to
black wire only and no other color wire. Black wire being neural, it does carry
charge/current. It mainly carries the unbalanced load i.e. the return current
that we call. Return current is the electricity/current not being used and the
return current to the electrical board/panel.
Green – Green wire stands for
grounding/ earthing in electric circuit. A green wire should be on can be
connected to green wire only (no other wire). Grounding wires are usually not
meant for lights and fan purposes. Green wires are chiefly used for socket
purpose. Socket could be for AC, geyser, TV, microwave, etc. Normally, switches
have only 2 wires i.e. neutral and phase.
In a room/ apartment there could be several sockets for use.
The grounding wire from all these sockets get connected at one single
point/grounding terminal in an apartment. This grounding terminal is a copper
rod/screw that is connected to the DB (Distribution Box) on one of the sides.
From the DB, the wire runs to the society meter box which then runs to the
ground bus bar. The ground bus bar is the copper plate inserted deep down
inside the ground. This is called as earthing in common language. The function
of green wire is to provide a path to ground for circuit’s electric current.
Especially times when a live wire inside the circuit happens to touch metal or
other conductive metal. Incase of this occurrence, green wire could be carrying
major current and therefore it should also be handled with care.
10_Answer sheet of A.P. U-5 Part-4
16. a(10)= 108
17. a= -1, d= 3, a(1)= -4, a(2)= -1,
a(3)= 2
18. a(4)= 32^(1/2)
19. n= 10th
20. n= 60, S(60)= 7800
17. a= -1, d= 3, a(1)= -4, a(2)= -1,
a(3)= 2
18. a(4)= 32^(1/2)
19. n= 10th
20. n= 60, S(60)= 7800
10_Answer sheet of A.P. U-5 Part-3
11. n = 30th
12. a= -13, d = 5, a(1)= -13, a(2)= -8
a(3) = -3
13. a(12)= 38
14. S(10)= -80
15. n= 54th, S(54)= 32373
12. a= -13, d = 5, a(1)= -13, a(2)= -8
a(3) = -3
13. a(12)= 38
14. S(10)= -80
15. n= 54th, S(54)= 32373
10_Answer sheet of A.P. U-5 Part-2
6. S(11)= 1683
7. n= 15th, S(15)= 810
8. a(10)= 47
9. a= 6, d=4, a(100)= 402,
S(50)= 5200
10. a(21)= 3 x a(11)
7. n= 15th, S(15)= 810
8. a(10)= 47
9. a= 6, d=4, a(100)= 402,
S(50)= 5200
10. a(21)= 3 x a(11)
10_Answer sheet of A.P. U-5 Part-1
1. n= 81th S(81)=44550
2. d= 5, a= 2, nth= (5n^2-n)/2
3. No, a1=6, a2= 18, a3=38
4. x=1
5. nth = 65th
2. d= 5, a= 2, nth= (5n^2-n)/2
3. No, a1=6, a2= 18, a3=38
4. x=1
5. nth = 65th
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