Question
A container has ‘2x’ litres of juice and ‘3y’
litres of soda. If 24 litres of soda is added to the container, the ratio of juice to soda becomes 5:6. However, if only 12 litres of soda is added, the ratio of soda to juice becomes 3:5. What is the original quantity of juice in the container?Solution
ATQ,
{2x / (3y + 24)} = 5/6 ⇒ 12x = 15y + 120 ⇒ 4x – 5y = 40 ……(1) Also, {(3y + 12) / 2x} = 3/5 ⇒ 5(3y + 12) = 6x ⇒ 15y + 60 = 6x ⇒ 6x – 15y = 60 ……(2) Now, (1) × 3: 12x – 15y = 120 (2): 6x – 15y = 60 Subtracting: 6x = 60 x = 10 ∴ Initial juice = 2x = 2 × 10 = 20 litres
If 'LOOSER' is coded as 5 and 'RIVER' as 4, then what is the code number for the word 'COLUMNS'?
If ‘as’ is written as ‘sa’, ‘I’ is written as ‘ma’ and ‘done’ is written as ‘na’, how will be ‘Do not say’ written as in th...
In a certain code language, ‘time taken to’ is coded as ‘428’. Similarly, ‘taken complete work' is coded as ‘723&rsq...
If ‘DEFINE’ is coded as '18', ‘CLUSTER’ is coded as '42', then what is the code for 'PROGRAM' in the same code language?
Which of the following may be the code for ‘other the happy’?
In a certain code language, TRIP is written as WULS and SOME is written as VRPH. How will CLAN be written in the same language?
What is the code for the word “keeps” ?
If GRIND = TIRMW, then NEPAL =
In a certain code language, if LICENSE is written as ILEFPES, then how will EXAMPLE be written in that language?
In a certain code language, ‘BUTTER’ is coded as ‘CWWSCO’ and ‘THEORY’ is coded as ‘UJHNPV’. How will ‘LATENT’ be coded in that lang...
Relevant for Exams:
