Latest CTS Aptitude Question SOLUTION: Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product

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Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product of those two numbers:

a) 24 b) 6 c) 48 d) 12

Solution

let the numbers are x and y so according to the given condition
x+y = 7k
x-y = k
and x*y = 24k
on solving 1st and 2nd equations we get x = 4k and y = 3k
so 4k*3k = 24k
or k = 2
so product of the numbers = 12(k^2) = 48

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Asked In CTS (12 years ago)

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anjon bhattacharjee  (8 years ago)

Answer : c)48

Solution :

Difference between the two numbers ratio wise is 1
Sum of the two numbers ratio wise is 7
Products of the two numbers ratio wise is 24.
i.e 1:7:24
Choice b) and d) cannot be the answer because product has to be ratio wise 24.
It is case a) or c)
For product to be 24 it has to be 4 and 6. But their sum is 10 and difference is 6
So 2:10:24 simplifying also it comes 1:5:12. This cannot be the answer.
For product to be 48 – numbers can be 6 and 8.
Sum – 14
Product – 48 So difference:sum:product = 2:14:48 = 1: 7: 24

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