Others Maths Puzzle

Rekha filled her beaker with 40ml of a 75% solution of hydrochloric acid. Her chemistry teacher pointed out that she should have 40 ml of a 50% hydrochloric acid solution. Jane drains x ml from her beaker and replaces with x ml of water to get the proper solution. In which of the following ranges does x lie?


A) less than 5
B) at least 5, but less than 10
C) at least 10, but less than 15
D) at least 15, but less than 20
E) 20 or more

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Others Other Question

The first 2n positive integers are arbitrarily divided into two groups of n numbers each. The numbers in the first group are sorted in ascending order: a1 < a2 < ... < an; the numbers in the second group are sorted in descending order: b1 > b2 > ... > bn.

Find, with proof, the value of the sum |a1 − b1| + |a2 − b2| + ... + |an − bn|.
if x^3+3x^2+2x+5=0
then (x+1)^3 will be