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With respect to the numerical evaluation of the definite integral $${\text{K}} = \int_{\text{a}}^{\text{b}} {{{\text{x}}^2}{\text{dx,}}} $$   where a and b are given, which of the following statements is/are TRUE?
I. The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.
II. The value of K obtained using the Simpson's rule is always equal to the exact value of the definite integral.
The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options. P: A certain moral code of conduct is ultimately necessary to ensure that the society does not fall prey to degeneration of values, which would lead to rampant sufferings and ultimately chaos. Q: Society’s concerns are our concerns: anything capable of causing a detrimental impact on it in the short term or in course of time is ultimately bound to affect us and our children. R: When we talk about social morality of any kind, what comes into play is our ability to feel for the well-being of our society. S: It is a concern to help the society be safeguarding it from unwanted ills and malaise and ensuring its well-being that is the root of social morality.
Consider the given statement to be true even if it seems to be at variance with the commonly known facts and decide which of the given conclusion logically follow(s) from the statement. Statement: Waste management is one of our country’s most important concerns these days given the fast pace of growing population and increasing wastes. Conclusions: I. Waste management was not a major concern of our country earlier. II. Apart from waste management, our country might also havee other major concerns these days.
The in vivo synthesis of the purine ring of cytokinin takes place on
The question given below consists of a statement, followed by three arguments I, II and III. You have to decide which of the arguments is/are ‘strong’ arguments is/are ‘weak’ arguments and accordingly choose your answer from the alternatives given below each question. Statement: Chat bots and other interfaces are saving employees and HR heads time for more productive activities by providing information and replies to diverse queries or concerns. A few years ago, business communication was driven by multiple faxes in a day and emails were the only quick mode of exchanging information. This information went through the organisation's who's who, while the others were mostly engaged in the daily rut of redundant activities, preventing them from directing their capabilities towards more productive areas. Which of the following arguments brig out the idea that introduction of chat bots and other interfaces is not helping in boosting up the processes? Arguments: I. Using these conversational interfaces, HR departments are successfully aligning themselves with the swiftly-changing organisational processes. These platforms represent people friendly technologies that keep employee experience at the centre, continuously evolving with them.  II. HR technologies are increasingly using advanced machine learning for measuring and analysing workforce engagement. Sentiment analysis is a unique way of gauging an employee's disposition towards the organisation, providing valuable insights essential for improving productivity and predicting attrition rates.  III. The seamless experience chat bots provide makes employees focus on activities that require critical abilities and strategic thinking. Besides enabling HR processes such as generating leave applications and reimbursement forms, the use of chatbots provides quick and smooth access to data from anywhere, anytime. 
Consider the following pairs. S.No Plant hormone Function 1. Auxin Cell elongation of stems and roots 2. Gibberellin Induces parthenocarpy 3. Cytokinin Stimulate the formation of chloroplast in leaves Which among the above pairs is/are correct?
Identify the correct set.  Set Physical Changes Chemical Changes A Ozone formation from Oxygen, Condensation Rusting, Burning of candle B Evaporation, Alloy formation Rusting, Curd formation C Condensation, Evaporation Combustion, Galvanization D Galvanization, Alloy formation Crystallization, Condensation
Find out which of the figures 1, 2, 3 and 4 can be formed from the pieces given in figure (X).
Figure Formation and Analysis mcq question image
Find out which of the figures 1, 2, 3 and 4 can be formed from the pieces given in figure (X).
Figure Formation and Analysis mcq question image
Find out which of the figures 1, 2, 3 and 4 can be formed from the pieces given in figure (X).
Figure Formation and Analysis mcq question image