Question
A Vessel if full of milk, 5 litre of milk is taken out
and replaced by water. This process is repeated once more, find the initial amount of milk in the vessel if at the end, the ratio of milk to water becomes 144:25.Solution
Final Quantity = Initial Quantity (1- x/c)n Where, C = capacity vessel x = Quantity taken out at a time n = number of repetition Milk : Water 144 : 25 Initial Mixture = 144 + 25 = 169 units 144 = 169 (1- 5/c)² On square root both the sides 12 = 13(1 - 5/c) 5/c = 1 - 12/13 5/c = 1/13 c = 65litre
If x + 1/x = 2, find x⁷ + 1/x⁷.
In a college, the proportion of boys to girls is 7:9, and the proportion of graduate students to postgraduate students is 4:5. Determine the total numbe...
If p = 28 - q - r and pq + r(q + p) = 182, then find the value of (p² + q² + r²).
If p = 11, then what is the value of
Before servicing, a car runs at a speed of 25 km/hr while after servicing, it runs at a speed of 50 km/h. After servicing the car covers a certain dista...
If a = (√2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is:
If (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) is
...- If x 2 = 4x - 4, then find the value of [x 3 + (x 4 /8) ][3 - x 3 ].
If p = 35 - q - r and pq + r(q + p) = 315, then find the value of (p² + q² + r²).
Relevant for Exams:
