Question
The sum of three positive numbers is 18 and their
product is 162. If the sum of two numbers is equal to the third then the sum of squares of the numbers isSolution
Let us consider the three positive numbers as x, y and z. Sum of three positive numbers x + y + z = 18 ---------> (1) product of three numbers xyz=162 ----------> (2) Given that sum of two numbers is equal to the third. i.e.., x + y = z => 2z = 18 => z = 9 Replacing z=9 in equation (1) & (2), we get x + y = 9 and xy = 18 Solving above, we get x = 6 and y = 3 therefore, sum of squares of the numbers = 62 + 32 + 92 = 126
I n 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: P # B, Q $ B, B @ J, J % F
Conclusions: I. F # B II. F @ B ...
Which of the following expressions will be true if the given expression ′S > T ≥ U < V < W′ is definitely true?
Statements: J ≤ K = L ≤ N; N ≤ O = M
Conclusions: I. M = J II. J < M
...In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
Statements: H > S ≥ V ≥ I; T ≤ G = I; U < J ≤ T
Conclusions:
I. S > J
II. U < I
III. H ≥ G
Statements: R ≤ K ≤ H = O ≥ D > Q; K > P
Conclusions:I. K < Q II. D ≥ P
Statements:
A < B < Z < K ≤ B < H; K > N ≥ P
Conclusions:
I) A < P
II) Z ≥ N
Statement: P > Q ≥ R = S ≤ T < U
Conclusions: I. T > Q II. U < P
...Statements: P > Q = R ≤ S; R > T > U; U = Z ≥ O
Conclusions:
I. P > U
II. O < S
III. R > P
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