Question
A mixture contains βXβ liter milk and βYβ 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 βXβ Quantity II: Value of βY + 40βSolution
Mixture contains total (X + Y) liters ATQ, = XΒ² + XY β 30X = XY + YΒ² β 30Y + 30X + 30Y β XΒ² β YΒ² = 60X β¦(i) And, 2XΒ² + 2XY β 120X = XY + YΒ² β 60Y + 60X + 60Y 2X 2 + XY = 180X +Y 2 β¦(ii) Subtract (i) from (ii) XΒ² + XY = 120X X + Y = 120β β¦(iii) But XΒ² β YΒ² = 60X β (X + Y) (X β Y) = 60X β 2 (X β Y) = X β 2X β 2Y = X β X = 2Y β¦(iv) By using (iii) & (iv) β Y = 40β And X = 80β Quantity I: X = 80lt Quantity II: Y + 40 = 40 + 40 = 80β Quantity I = Quantity II
F is the brother of J. E is the sister of D. K is the sister of L. D is the son of L. J is the father of E. How is D related to F?
If + means β, β means Γ, Γ means Γ·, Γ· means +, then what will come in place of the question mark (?) in the following equation?
60 Γ 6 +...
Which among the following words cannot be formed using the letters of the given word "ENVIRONMENT" using each letter only once?
Select the figure t he will come next in the following figure series.
Six friends K, L, M, N, O and P are sitting in two rows; both the rows are facing north. Four friends are in the first row, whereas two friends are in t...
If '+' means 'Γ', 'Γ' means 'β', 'β' means 'Γ·' and 'Γ·' means '+', then what will come in place of the (?) in the following equation?
250 ...
Select the letter that can replace the question mark (?) in the following series.
A, C, E, G, I, Ξ, ?
Mohit starts from Point A and drives 13 km towards the south. He then takes a right turn, drives 8 km, turns right and drives 19 km. He then takes a rig...
Each vowel in the word TABLE is changed to the letter following it in the English alphabetical order and each consonant is changed to the letter precedi...
6 boys are sitting on 6 different chairs numbered 1 to 6. A is sitting neither on chair 2 nor on chair 5. F is sitting either on chair 4 or on chair 6....
Relevant for Exams:
