Date : 28-11-2020

Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 25 percent alcohol by volume?

A. 250/3 B. 500/3 C. 400 D. 480 E. 600

Ans : 600 Using allegation method as shown in figure below: To obtain a 25% alcohol mixture, X & Y are to be mixed in ratio 5:15 = 1:3 X is already 200ml, so Y should be 200*3 = 600

Which normal form is a table "customer" in . if it has following characteristics ? It has transitive dependencies There are no partial Dependencies in it There is no column with redundancy in it

1NF

2NF

3NF

BCNF

**Ans :** 2NF

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Given an array of integers A of size N and an integer B. Array A is rotated at some pivot unknown to you beforehand. (i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2 ). You are given a target value B to search. If found in the array, return its index, otherwise return -1. You may assume no duplicate exists in the array. NOTE:- Array A was sorted in non-decreasing order before rotation. Input 1: A = [4, 5, 6, 7, 0, 1, 2, 3] B = 4 Output 1: 0 Explanation 1: Target 4 is found at index 0 in A. Input 2: A = [5, 17, 100, 3] B = 6 Output 2: -1â€‹â€‹

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int Solution::search(const vector<int> &A, int B) {int n = A.size();int low = 0, high = n-1;while(low<=high){int mid = low + (high-low)/2;if(A[mid] == B) return mid;else if(A[0]<=A[mid]){//i.e. left part is sortedif(A[0]<=B && B < A[mid]) high = mid-1;//B lies on left partelse low = mid+1;}else{//right part is sortedif(A[mid] < B && B<=A[n-1]) low = mid+1;//B lies on right partelse high = mid-1;}}return -1;}