Question
Three numbers are in the ratio 1:2:2, and the sum of their
squares is 225. What is the average of the two largest numbers?Solution
ATQ;
Let the numbers be x, 2x, and 2x.
Then:
x² + (2x)² + (2x)² = 225
⇒ x² + 4x² + 4x² = 225
⇒ 9x² = 225
⇒ x² = 25
⇒ x = 5
So, the numbers are 5, 10, 10
Required average = (10 + 10) ÷ 2 = 10
Statements: T ≤ K = E ≤ Q, J = Q < H ≤ S ≤ V, A ≤ V < O = Y
Conclusions: I. T < V II. O ≥ H
Statements: X > V ≥ A = I ≤ R > G = H ≤ Q
Conclusion
I: Q ≤ A
II: Q > A
Statement: M=N<Q ≤P ≥R;Q<T;U<S>T
Conclusions:
1. U > Q
2. N > R
...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...
Statements: P ≥ Q, R > S, R ≥ Q, T = P < U
Conclusion:
I. R > P
II. U > 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 th...
Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, decide which of the given conclusions...
Statement: S ≤ M < X = H ≥ B ≥ K < V
Conclusion: X > K, K = X
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...
Statement:
No one is two.
A few two are three.
Only one is four.
Conclusion:
1. All two being three is a possibilit...
