Question
The arithmetic mean and geometric mean of two numbers
are 7 and 2√10 respectively, then find the numbers.Solution
Arithmetic Mean = 7  (x + y)/2 = 7 x + y = 14                           ----(1) Geometric Mean = 2√10 √ xy = 2√ 10 Now, xy = (2√ 10)2 = 40 ------(2) (x - y) ² = (x + y) ² - 4xy  (x - y) ² = 142 - (4 x 40)  (x - y) ² = 196 - 160 = 36 x - y = 6             ----(3) Now, adding equation (1) and (3) we get  2x = 20  x = 10 and y =4. (10,4)
Statements: D < O = Q > U < I ≤ R; K ≥ O = I; R > H ≥ G
Conclusions:
I. R > O
II. K > U
III. H ≥ Q
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statement: A ≤ B; A ≤ I; B = D; I < C
Conclusion:
I. C ≤ B
II. D ≥ C
Given statement shows the relation between different elements followed by two conclusions. Â
Statement: C1 < L1 > I2 = E1 ≥ N2 > T1 Â
...
Statements: A % B & G @ T $ D; W % A # P
Conclusions :Â Â Â Â Â I. D % BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. A % GÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statement-1 - P > Q ≥ R < S > T
2 - L ˃ R ≥ M ≥ N
Conclusions:
P > N
Q ≥ M
L < N
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and t...
Statements:Â Â Â Â Â Â A @ D % M % N; M $ P $ Q
Conclusions :     I. D % Q                              I...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements:Â Q $ Z % C # T @ HÂ
Conclusions:Â
I. Z # HÂ
II. Q © TÂ
III. H % Z
