PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions

A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44. The mean deviation about mean is

The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

The mean deviation for n observations \[x_1 , x_2 , . . . , x_n\]  from their mean \[\bar{X} \]  is given by

Let \[x_1 , x_2 , . . . , x_n\]  be n observations and  \[X\]  be their arithmetic mean. The standard deviation is given by

If second, third and sixth terms of an A.P. are consecutive terms of a G.P., write the common ratio of the G.P. 

Write the quadratic equation the arithmetic and geometric means of whose roots are Aand G respectively. 

If a, b, c are in A.P. and x, y, z are in G.P., then the value of x^b − c y^c − a z^a − b is

The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is 

If a, b, c are in G.P. and a^1/x = b^1/y = c^1/z, then xyz are in

In the following, state whether A = B or not:

A = {a, b, c, d}; B = {d, c, b, a}

In the following, state whether A = B or not:

A = {4, 8, 12, 16}; B = {8, 4, 16, 18}

In the following, state whether A = B or not:

A = {2, 4, 6, 8, 10}; B = {x : x is positive even integer and x ≤ 10}

In the following, state whether A = B or not:

A = {x : x is a multiple of 10}; B = {10, 15, 20, 25, 30, ...}

Are the following pair of sets equal? Give reasons.

A = {2, 3}, B = {x : x is solution of x² + 5x + 6 = 0}

Are the following pair of sets equal? Give reasons.

A = {x : x is a letter in the word FOLLOW};

B = {y : y is a letter in the word WOLF}

From the sets given below, select equal sets:

A = {2, 4, 8, 12},
B = {1, 2, 3, 4},
C = {4, 8, 12, 14},
D = {3, 1, 4, 2},
E = {-1, 1},
F = {0, a},
G = {1, -1},
H = {0, 1}

Assume that P (A) = P (B). Show that A = B.