Question
The cost of diamond varies directly as the square of its
weight. A diamond broke into four pieces with weights in the ratio 1: 4: 5: 6. if the loss in the total value of the diamond was Rs. 89,000. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be x, 4x, 5x, 6x Total weight of diamond = x + 4x + 5x + 6x = 16x Price prop; (weight) 2 = Price = k(weight) 2 ; where, K is constant Original price = k(16x) 2 Price of pieces = (kx 2 + 16kx 2 + 25kx 2 + 36kx 2 ) = 78kx 2 Loss in price = 256kx 2 78kx 2 = 178kx 2 which is given as 89,000 178kx 2 = 89000 kx 2 = 500 Original price = 256kx 2 = 256 x 500 = 128000
Statements : R < O ≤ P < Q; M < L ≤ N > O; S < Q ≤ K
Conclusions:
I. M < K
II. N > R
III. O < S
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely tru...
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 three conclusions is/are definitely true and t...
Statements: N # L, L @A, A % I, I & E
Conclusions :
I.E $ L
...Statements: E # L, L @ U, U $ N, N % K
Conclusions: I. K @ U II. K % U III. E @ U
...In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
Statement: A ≤ B ≤ C > D; E < D; F > E
Conclusions: I. D > A II. E < C
...Which of the following symbols should replace the question mark (?) in the given expression in order to make the expressions ‘N > S’, and ‘S < V�...
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ M
