Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is ______.

Consider the first 10 positive integers. If we multiply each number by –1 and then add 1 to each number, the variance of the numbers so obtained is ______.

The following information relates to a sample of size 60 `sumx^2` = 18000 and `sumx` = 960, then the variance is ______.

Find a G.P. for which sum of the first two terms is – 4 and the fifth term is 4 times the third term.

Write the statement in the form “if p, then q”.

p: It is necessary to have a password to log on to the server.

Write the statement in the form “if p, then q”.

q: There is a traffic jam whenever it rains.

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{2, 3, 4} _____ {1, 2, 3, 4, 5}

{a, e} ⊂ {x : x is a vowel in the English alphabet}

{a, b} ⊄ {b, c, a}

{1, 2, 3} ⊂ {1, 3, 5}

{a} ⊂ {a. b, c}

{a} ∈ (a, b, c)

{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}

Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ⊂ A

Write down all the subsets of the following set:

{a}

How many elements has P(A), if A = Φ?

Write the following as interval:

{x : x ∈ R, – 4 < x ≤ 6}

Write the following as intervals:  {x: x ∈ R, –12 < x < –10}

Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}

Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}