Question
There are three numbers such that when the average of
any of the two numbers is added with the third number, sum obtained will be 100, 110 and 150. Find the average of all three numbers.Solution
Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 100 × 2 = 200……………..(1) (a + 2b + c) = 110 × 2 = 220……………..(2) (2a + b + c) = 150 × 2 = 300……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 720 a + b + c = 180 (a + b + c)/3 = 60
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: M = C ≥ A = V < Q = S
Conclusions:
I. M ≥ V
II. A < S
Statements:
T % W % B $ I @ L
Conclusions:
I. B * T
II. L © B
III. L * T
Statements: T ≥ U = V > W = Z ≤ X < Y ≤ M
Conclusions:
I. Z > T
II. U ≤ X
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...In the question, assuming the given statements to be true, find which of the conclusion(s) among given two conclusions is /are definitely true and the...
Statements: L ≥ O = J ≥ I ≤ V; C = T ≤ J
Conclusion: I. C < L II. C = L
Statements: P # B, Q $ B, B @ J, J % F
Conclusions: Â Â Â Â Â I. F # BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. F @ BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statement: D < I < J = M = NÂ `>=` R > X
  Conclusion: I. J > X           II. D < N
...Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...