Question
A set contains ten numbers. The average of the first
six numbers is (x − 5), and the average of the last three numbers is (x + 1). The average of the entire set is 'x'. If the 7th number of the set is 48, then find the value of 'x'.Solution
Sum of the numbers of set = 10x Sum of first 6 numbers = 6(x − 5) = 6x − 30 Sum of last 3 numbers = 3(x + 1) = 3x + 3 ATP, 6x − 30 + 48 + 3x + 3 = 10x 9x + 21 = 10x x = 21
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...
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 : C ≤ A < B ≤ D; E < B > F > G; I < H < G
Conclusions :
I. B > I
II. D > H
III. H < B
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 the...
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 th...
Statements: M > N = W; J < P = N; Y > P
Conclusions:
I. Y > W
II. M < Y
III. J > M
In the question, relationship between some elements is shown in the statements (s). These  statements are followed by two conclusions. Read the statem...
Statement: T > B = PÂ `>=` Â C ; BÂ `>=` Â J > F; OÂ `<=` Â JÂ `<=` Â CÂ Â Â Â
Conclusions:  I.  J < T    II. T > F
...Statements: R < S > T; U < V ≤ S; R > P
Conclusions:
I. S > P
II. U < R
III. T < P
Statements: Q @ X % Y % W; Y $ O $ B
Conclusions:
I. Â X % B
II. Q @ W
III. O $ X
...
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