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Commerce (English Medium) Class 11 - CBSE Question Bank Solutions

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Find the mean deviation about the mean for the data.

Height in cms Number of boys
95 - 105 9
105 - 115 13
115 - 125 26
125 - 135 30
135 - 145 12
145 - 155 10
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation about median for the following data:

Marks Number of girls
0-10 6
10-20 8
20-30 14
30-40 16
40-50 4
50-60 2
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

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Calculate the mean deviation about median age for the age distribution of 100 persons given below:

Age Number
16 - 20 5
21 - 25 6
26 - 30 12
31 - 35 14
36 - 40 26
41 - 45 12
46 - 50 16
51 - 55 9
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

Set of concentric circles in a plane

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 Set of letters of the English Alphabets 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

{x ∈ N : x > 5}

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite?

{x ∈ Z : x < 5}; 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Which of the following sets are finite and which are infinite? 

 {x ∈ R : 0 < x < 1}.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Compute: 

(i)\[\frac{30!}{28!}\]

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Compute:

\[\frac{11! - 10!}{9!}\]
[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Compute:

 L.C.M. (6!, 7!, 8!)

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Prove that

\[\frac{1}{9!} + \frac{1}{10!} + \frac{1}{11!} = \frac{122}{11!}\]
[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer. 

Every subset of an infinite set is infinite 

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

A person wants to buy one fountain pen, one ball pen and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer. 

Every subset of a finite set is finite

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are three routes; air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Which of the following statements are true? Give reason to support your answer. 

Every set has a proper subset

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined
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