Maths Past Question Paper of 12th Class CBSE - PowerPoint PPT Presentation

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Maths Past Question Paper of 12th Class CBSE

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Title: Maths Past Question Paper of 12th Class CBSE


1
Learning Objective
MathQuestion Paper2018
2
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
C To solve questions from Section D
3
Question Number 1
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Lets solve it!
4
Answer
5
Question Number 2
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Lets solve it!
6
Answer
7
Question Number 3
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Lets solve it!
8
Answer
9
Question Number 4
If a b denotes the larger of a and b and if
a o b (a b) 3, then write the value of (5)
o (10), where and o are binary operations.
Lets solve it!
10
Answer
11
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
12
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
13
Question Number 5
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Lets solve it!
14
Answer
15
Question Number 6
a Aa
Lets solve it!
16
Answer
17
Question Number 7
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Lets solve it!
18
Answer
19
Question Number 8
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Lets solve it!
20
Answer
21
Question Number 9
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Lets solve it!
22
Answer
23
Question Number 10
Aa
Lets solve it!
24
Answer
25
Question Number 11
aa
Lets solve it!
26
Answer
27
Question Number 12
A black and a red die are rolled together. Find
the conditional probability of obtaining the sum
8, given that the red die resulted in a number
less than 4.
Lets solve it!
28
Answer
29
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
30
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
31
Question Number 13
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Lets solve it!
32
Answer
33
Question Number 14a
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Lets solve it!
34
Answer
35
Question Number 14b
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Lets solve it!
36
Answer
37
Question Number 15
Aa
Lets solve it!
38
Answer
39
Question Number 16a
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40
Answer
41
Question Number 16b
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Lets solve it!
42
Answer
43
Question Number 17
An open tank with a square base and vertical
sides is to be constructed from a metal sheet so
as to hold a given quantity of water. Show that
the cost of material will be least when depth of
the tank is half of its width. If the cost is to
be borne by nearby settled lower income families,
for whom water will be provided, what kind of
value is hidden in this question ? 
Lets solve it!
44
Answer
45
Question Number 18
Aaa
Lets solve it!
46
Answer
47
Question Number 19a
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Lets solve it!
48
Answer
49
Question Number 19b
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Lets solve it!
50
Answer
51
Question Number 20
AAaa
Lets solve it!
52
Answer
53
Question Number 21
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Lets solve it!
54
Answer
55
Question Number 22
Suppose a girl throws a die. If she gets 1 or 2,
she tosses a coin three times and notes the
number of tails. If she gets 3, 4, 5 or 6, she
tosses a coin once and notes whether a head or
tail is obtained. If she obtained exactly one
tail, what is the probability that she threw 3,
4, 5 or 6 with the die ?
Lets solve it!
56
Answer
57
Question Number 23
Two numbers are selected at random (without
replacement) from the first five positive
integers. Let X denote the larger of the two
numbers obtained. Find the mean and variance of
X. 
Lets solve it!
58
Answer
59
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
60
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
61
Question Number 24a
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Lets solve it!
62
Answer
63
Question Number 24b
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Lets solve it!
64
Answer
65
Question Number 25a
Aaaaa
Lets solve it!
66
Answer
67
Question Number 25b
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Lets solve it!
68
Answer
69
Question Number 26
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Lets solve it!
70
Answer
71
Question Number 27a
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Lets solve it!
72
Answer
73
Question Number 27b
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Lets solve it!
74
Answer
75
Question Number 28
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Lets solve it!
76
Answer
77
Question Number 29
A factory manufactures two types of screws A and
B, each type requiring the use of two machines,
an automatic and a hand-operated. It takes 4
minutes on the automatic and 6 minutes on the
hand-operated machines to manufacture a packet of
screws A while it takes 6 minutes on the
automatic and 3 minutes on the hand-operated
machine to manufacture a packet of screws B.
Each machine is available for at most 4 hours on
any day. The manufacturer can sell a packet of
screws A at a profit of 70 paise and screws B
at a profit of Rs. 1. Assuming that he can sell
all the screws he manufactures, how many packets
of each type should the factory owner produce in
a day in order to maximize his profit ? Formulate
the above LPP and solve it graphically and find
the maximum profit.
Lets solve it!
78
Answer
79
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
80
Learning Outcomes
To solve questions from Section
A To solve questions from Section
B To solve questions from Section
CTo solve questions from Section D
How confident do you feel?
81
Learning Objective
MathQuestion Paper2018
82
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