Question
Quantity of water in a 280 litres mixture (alcohol +
water) is 40 litres less than the quantity of alcohol in it. Find the quantity of water to be mixed so that the quantity of alcohol in the mixture becomes 50% of the whole mixture.Solution
Quantity of water in the mixture = (280 – 40)/2 = 120 litres So, Quantity of alcohol in the mixture = (280 – 120) = 160 litres Total quantity of the mixture = 160 x (100/50) = 320 litres Therefore, quantity of water to be mixed = 320 – 280 = 40 litres
16, 8, 8, ?, 24, 60
A sequence {Sₙ} is defined by:
Condition I: S₁ = 3 and for all n ≥ 2, Sₙ = 2·Sₙ₋₁ + (−1)ⁿ.
Condition II: The second ter...
Compute Σ (1 / (k(k+1))) from k = 1 to 10.
15 13 28 24 54 52
...24 25 46 ? 572 2885
...A series is 4, 5, 17, 88, 620, 5585
If another series a, b, 23, d, e, f follows the same pattern as the given number series, then find the approx...
16 23 31 40 50 61 ?
...-3 -10 -40 -185 -905 -4500
-4 a b c d e
Find the value of d.
...14, 28, 54, 98, 154, 224
133 183 220 ? 263 273
...
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