A mixture contains ‘X’ liter milk and ‘Y’ liter water. If 30 liter of mixture is taken out and replaced with water, then the quantity of milk and water becomes equal. But, if 60 liter of mixture is taken out and replaced with water, then quantity of milk becomes half of the quantity of water. Find which of the following relation is correct.
Quantity I: Value of ‘X’
Quantity II: Value of ‘Y + 40’
Mixture contains total (X + Y) liters ATQ, = X² + XY – 30X = XY + Y² – 30Y + 30X + 30Y ⇒ X² – Y² = 60X …(i) And, 2X² + 2XY – 120X = XY + Y² – 60Y + 60X + 60Y 2X 2 + XY = 180X +Y 2 …(ii) Subtract (i) from (ii) X² + XY = 120X X + Y = 120ℓ …(iii) But X² – Y² = 60X ⇒ (X + Y) (X – Y) = 60X ⇒ 2 (X – Y) = X ⇒ 2X – 2Y = X ⇒ X = 2Y …(iv) By using (iii) & (iv) ⇒ Y = 40ℓ And X = 80ℓ Quantity I: X = 80lt Quantity II: Y + 40 = 40 + 40 = 80ℓ Quantity I = Quantity II
Select the correct option that indicates the arrangement of the following words in a logical and meaningful order.
1. Pentagon
2. Decagon<...
The sentence below has a word in which the letters are jumbled up. Rearrange the letters of that word, written in capital letters, to form the correct w...
Three different positions of the same dice are down. Select the number on the face opposite to the face showing ‘1’.
Who sits right between Varu and Sita?
Find the missing figure in the series from the given answer figures.
Find the upcoming numbers in this series.
19, 28, 46, 82, 154,?
A number has been denoted to each of the given letters. Select the option from the following four possible arrangements of these numbers that forms a me...
Select the Venn diagram that best represents the relationship among the given set of classes.
Earth, Country, State
In a certain code ‘ELSA’ is written as ‘613202’, ‘ANNA’ is written as ‘215152’, ‘OLAF’ is written as ‘161327’, then how is ‘L...
Select the number that can replace the question mark (?) in the following series.
12.24, 48.96, 192.384, ?