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A shipping company currently charges the same price for each package that it ships . If the current price of each package were to be increased by $ 1,6 fewer of the package could be shipped for $120 ,excluding sales tax. what is the current price of shipping each package?
Match the following two sets given below. Set - I consists of terms related to specific deviations and Set - II consists of resultant impairments. Set-I (Terms denoting nature of deviations) Set-II (Resultant Impairments) (a) Cerebral Palsy  (i) Problems related to reading words   and letter (b) Congenital Cytomegalovirus (ii) Characterised by rapid, involuntary movements of eyes which make it difficult to focus on objects and causes dizziness (c) Dyslexia (iii) Disorder related to movements and posture (d) Nystagmus (iv) Herpes - related viral infection causes hearing loss   (v) Disorder related to farsightedness
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
Two alternative packages A and B are available for processing a database having 10k records. Package A requires 0.0001n2 time units and package B requires 10nlog10n time units to process n records. What is the smallest value of k for which package B will be preferred over A? 
Of 30 integers, 12 are in set A , 22 are in set A , 22 are in set B , and 7 are in both set A and B. How many of the integers in NITTHER set A nor set B?
Below are given some specific features in research as Set - I while their descriptive explanations in Set - II. Match the items of Set - I with that of Set - II and choose correct code : Set - I (Features) Set – II           (Descriptive explanations) (a) Empiricism (i) Data collection and analysis procedure from which only one interpretation can be made (b) Precision (ii) Results can be confirmed or revised insubsequent research (c) Parsimonious explanation   (iii) Guided by evidence obtained from systematic research methods (d) Verification   (iv) Reduce complex realities to simple explanation of phenomena (e) Adler (v) Extensive and detailed description including instrument validity and reliability
Given below are sets. Set I mentions some terms from the Preamble to the Constitution of India and Set II gives their explanation. Match the item from Set I with explanation from Set II. Set I (Terms) Set II (Explanation) (a) Socialism (i) State ha no religion, it is neither pro nor against any religion (b) Secularism (ii) a system in which government is elected and managed by the people of the country (c) Democacy (iii) Political idea that all people are equal and resources should be equally shared (d) Republic (iv) a nation state that has an elected government and elected leader   Select correct answer from the following options:
Consider the following statements: 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?
Let N be the set of natural numbers. Consider the following sets. P: Set of Rational numbers (positive and negative) Q: Set of functions from {0, 1} to N R: Set of functions from N to {0, 1} S: Set of finite subsets of N. Which of the sets above are countable?
Suppose on performing reduced error pruning, we collapsed a node and observed an improvement in the prediction accuracy on the validation set. Which among the following statements are possible in light of the performance improvement observed? (a) The collapsed node helped overcome the effect of one or more noise affected data points in the training set (b) The validation set had one or more noise affected data points in the region corresponding to the collapsed node (c) The validation set did not have any data points along at least one of the collapsed branches (d) The validation set did have data points adversely affected by the collapsed node