Question
Average of 22 numbers is 58. If the average of the first
eight and last seven numbers is 65.5 and 48.5 respectively, and if the eleventh number is 35% more than the tenth number and the twelfth number is (50/9)% less than the eleventh number, then find the eleventh number.Solution
ATQ, Let the tenth number be 10x. So, the eleventh number = 1.35 × 10x = 13.5x. Twelfth number = 850/9 × 1/100 × 13.5x = 34x/3. So, 10x + 13.5x + 34x/3 = 58 × 22 – 8 × 65.5 – 7 × 48.5 = 290. Or, 100x/3 = 290. Or, x = 8.7. So, the eleventh number = 13.5 × 8.7 = 117.45.
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...
In which of the following expressions does the expression ‘L > B’ and ‘R < N’ is true?
Statements: V ≥ O ≥ S = A > J, M < Y = P ≤ O > R
Conclusion:
I. O > M
II. A ≥ M
III. V > R
Statements: A > B ≥ C ≤ D; E ≥ F ≥ G = A
Conclusion:
I. E > D
II. D ≥ E
Statements: N < G ≥ F > E ≥ D, D = O ≥ I > P
Conclusions:
I. D < G
II. N > I
III. P < E
- Statements: F > G ≥ H = I < J = K ≤ L ≤ M = N
Conclusions:
I. M > J
II. G ≥ N
III. J = M 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 following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
In which of these expression ‘X ≤ B’ is definitely true?
Statement: I ≤ S, S < X, X = F, F ≤ K
Conclusion: I. K > I II. I < X
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