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A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution. (Ans:6L,4L)
Ans: Let 50 % acids in the solution be x
Let 25 % of other solution be y
Total Volume in the mixture = x + y
A.P.Q:
x + y = 10 --------(1)
50/100 x + 25/100y = (40/100) ×10
2x + y = 16 --------(2)
So x = 6 & y = 4
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
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