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HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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न हे नयन, पाकळ्या उमलल्या सरोजांतील।

या वाक्यातील उपमेय ओळखा.

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

निशिगंधासारखा निशिगंधच होय.

वरील विधानाचे उद्‌गारार्थी वाक्य ओळखून लिहा:

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

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मुंगी उडाली आकाशी
तिने गिळिले सूर्यासी !

वरील काव्यपंक्तीतील अलंकार ओळखून लिहा.

[5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Chapter: [5.01] व्याकरण - वाक्यप्रकार व वाक्यरूपांतर, समास, प्रयोग, अलंकार
Concept: undefined >> undefined

‘आनंद’ या शब्दासाठी पाठात आलेली विशेषणे शोधा व लिहा.

...... ...... ...... ...... ......

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

व्याकरण.

खालील वाक्यांत योग्य विरामचिन्हांचा उपयोग करा.

खरं तर पहाटच त्यांना विचारत असते की मी येऊ का तुम्हांला भेटायला

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

व्याकरण.

खालील वाक्यांत योग्य विरामचिन्हांचा उपयोग करा.

निशिगंध म्हणजे निशिगंधच

[6] अतिरिक्त व्याकरण
Chapter: [6] अतिरिक्त व्याकरण
Concept: undefined >> undefined

The number of complaints which a bank manager receives per day is a Poisson random variable with parameter m = 4. Find the probability that the manager will receive -

(a) only two complaints on any given day.

(b) at most two complaints on any given day

[Use e-4 =0.0183]

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

A job production unit has four jobs A, B, C, D which can be manufactured on each of the four machines P, Q, R and S. The processing cost of each job is given in the following table:

         Jobs

 

 

                          Machines

P

Q

R

S

                Processing Cost (Rs.)

 

A

31

25

33

29

B

25

24

23

21

C

19

21

23

24

D

38

36

34

40

 How should the jobs be assigned to the four machines so that the total processing cost is minimum?

[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

Solve the following minimal assignment problem and hence find the minimum value : 

  I II III IV
A 2 10 9 7
B 13 2 12 2
C 3 4 6 1
D 4 15 4 9

 

[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

Suggest optimum solution to the following assignment. Problem, also find the total minimum service time.
                                             Service Time ( in hrs.)

Counters Salesmen
A B C D
W 41 72 39 52
X 22 29 49 65
Y 27 39 60 51
Z 45 50 48 52
[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

 If a random variable X follows Poisson distribution such that P(X = l) =P(X = 2), then find P(X ≥ 1).  [Use e-2 = 0.1353] 

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

 If X has Poisson distribution with parameter m = 1, find P[X ≤ 1]  [Use `e^-1 = 0.367879`]

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

If X has a Poisson distribution with variance 2, find P (X = 4) 

[Use e-2 = 0.1353] 

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

If X has a Poisson distribution with variance 2, find P(X ≤ 4) 

[Use e-2 = 0.1353] 

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

If X has a Poisson distribution with variance 2, find 

Mean of X [Use e-2 = 0.1353] 

[16] Probability Distributions
Chapter: [16] Probability Distributions
Concept: undefined >> undefined

Solve the following minimal assignment problem : 

Machines A B C D E
M1 27 18 20 21
M2 31 24 21 12 17
M3 20 17 20 16
M4 21 28 20 16 27
[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

Determine `l_92 and l_93, "given that"  l_91 = 97, d_91 = 38 and q_92 = 27/59`

[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

Solve the following minimal assignment problem and hence find minimum time where  '- ' indicates that job cannot be assigned to the machine : 

Machines Processing time in hours
A B C D E
M1 9 11 15 10 11
M2 12 9 - 10 9
M3 - 11 14 11 7
M4 14 8 12 7 8
[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

Solve the following maximal assignment problem :

Branch Manager Monthly Business ( Rs. lakh)
A B C D
P 11 11 9 9
Q 13 16 11 10
R 12 17 13 8
S 16 14 16 12

 

[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined

A departmental head has three jobs and four subordinates. The subordinates differ in their capabilities and the jobs differ in their work
contents. With the help of the performance matrix given below, find out which of the four subordinates should be assigned which jobs ?

Subordinates Jobs
I II III
A 7 3 5
B 2 7 4
C 6 5 3
D 3 4 7
[15] Assignment Problem and Sequencing
Chapter: [15] Assignment Problem and Sequencing
Concept: undefined >> undefined
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