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 : 3 : 4 : 6. if the loss in the total value of the diamond was Rs. 100,500. The price of the original diamond was?Solution
Let the weight of the pieces of diamond be x, 3x, 4x, 6x Total weight of diamond = x + 3x + 4x + 6x = 14x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(14x)2 Price of pieces = (kx2 + 9kx2 + 16kx2 + 36kx2) = 62kx2 Loss in price = 196kx2 – 62kx2 = 134kx2 which is given as 100,500 => 134kx2 = 100500 => kx2 = 750 Original price = 196kx2 = 196 x 750 = 147000
In a certain language, if JUICE is written as 8 and POCKET is written as 44, then how will DEAR be written in that language?
If all the letters in the word ‘BEHAVE’ are arranged in alphabetical order from left to right such that the vowels are arranged first followed by th...
In a certain code language, 'MARGIN' is written as 'SBNOJH'. How will 'PRAYER' be written in that language?
Which among the following is coded as 'st, mi, jd', in the given code language?
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the fustletter-cluster and the ...
Select the correct mirror image of the given figure when the mirror is placed at the line MN as shown.
In a certain code language ‘GRACE’ is written as ‘FQBBF’ and ‘STARE’ is written as ‘RSBQF’. How is ‘STUMP’ written in that code? �...
In a certain code language ‘SHINE’ is written as ‘ITIFO’ and ‘PRIVATE’ is written as ‘JSQVFUB’. How is &...
In a certain code, if REJOICE is coded as 331517, what is the code for HARMONY?
Two statements are given followed by three conclusions numbered I, II, and III assuming the statements to be true, even if they seem to be at variance ...
