Advertisements
Advertisements
प्रश्न
In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x, y and z
Advertisements
उत्तर
n(U) = 125
y = 2x and z = x + 10
n(U) = x + 4 + y + 17 + 3 + 6 + z + 5
125 = x + 4 + 2x + 17 + 3 + 6 + x + 10 + 5
125 = 4x + 45
125 – 45 = 4x
80 = 4x
x = `80/4` = 20
y = 2x
= 2 × 20
= 40
z = x + 10
= 20 + 10
= 30
∴ The value of x = 20, y = 40 and z = 30.
APPEARS IN
संबंधित प्रश्न
State, whether the pair of sets, given below, are equal sets or equivalent sets:
{2, 4, 6, 8, 10} and {a, b, d, e, m}
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(D)
Given:
A = {Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}.
Find: n(A ∪ D)
State true or false for the following. Correct the wrong statement.
If B = {1, 5, 51, 15, 5, 1}, then n(B) = 6.
If U = {x : x ∈ N, x ≤ 10}, A = {2, 3, 4, 8, 10} and B = {1, 2, 5, 8, 10}, then verify that n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
A survey of 1000 farmers found that 600 grew paddy, 350 grew ragi, 280 grew corn, 120 grew paddy and ragi, 100 grew ragi and corn, 80 grew paddy and corn. If each farmer grew atleast anyone of the above three, then find the number of farmers who grew all the three.
If n(A ∪ B ∪ C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ∩ C) = 15, n(A ∩ C) = 25 and n(A ∩ B ∩ C) = 10, then the value of x is
What does the "cardinality" of a set represent?
What is the cardinality of an infinite set?
If Set A has the unique elements {2, 3, 5}, which of the following correctly represents its cardinality?
