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The following questions are based on the information given below In a school of 4000 students 3000 know English, 2000 know French and 5000 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many do not know any of the three languages?
The following questions are based on the information given below In a school of 4000 students 3000 know English, 2000 know French and 5000 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many know only two languages?
The following questions are based on the information given below In a school of 4000 students 3000 know English, 2000 know French and 5000 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many know atleast one language?
Laplace transform of the function f(t) is given by $${\text{F}}\left( {\text{s}} \right) = {\text{L}}\left\{ {{\text{f}}\left( {\text{t}} \right)} \right\} = \int_0^\infty {{\text{f}}\left( {\text{t}} \right){{\text{e}}^{ - {\text{st}}}}{\text{dt}}{\text{.}}} $$       Laplace transform of the function shown below is given by
Transform Theory mcq question image
In the following items each passage consists of six sentences. The first and the sixth sentence are given in the beginning as SI and S6. The middle four sentences in each have been removed and jumbled up. These are labelled P, Q, R and S. You are required to find out the proper sequence of the four sentences and mark your response accordingly on the Answer Sheet. SI : One of the first things the learning of a new language teaches you is that language comes from the region of the unconscious. S6: The test of how much you know is : how much can you say without having to think how you are going to say it ? P : What is often meant by “ thinking in a language” is really the ability to use it without thinking about it. Q : We grown-up people have to filter it through our minds - a much more laborious process. R : That is why children learn a new language so effortlessly : it comes straight from their instincts. S : But we cannot say that we know a language, or know what we have studied of it, until we can use it instinctively. The proper sequence should be
Read the passage carefully and select the best answer to each question out of the given four alternatives. One should consciously engage in activities that will nourish your soul. Just as we nourish the body, we need to nurture the soul to connect to the creative power ofthe universe and to manifest joy in our lives. Often, we forget to address the soul, lost as we are in a jungle of material and sensual pleasures. But the more youembrace what feeds your soul, the happier you become. So if you want to enjoy the abundance of life, engage in what enriches your soul. Nurturing the soul is allabout finding calm amidst chaos. There are a number of practices that empower people towards this end including silent contemplation, various forms of meditation,yoga and tai chi However, the rigor and discipline involved in the pursuit of such practices often seems to discourage people. Add to this, the temptations of thematerial world that leave little time and motivation for anyone to pursue the spiritual path. Poet Walt Whitman declared: “Whatever satisfies the soul is truth”. Thegood news is that simple, everyday activities can also nutrify the soul — like spending time in the midst of nature, dancing in the rain or just putting thoughts onpaper. Do whatever is calming and pleases you. Creative pursuits are particularly appealing as inside each one of us, there is an artist craving for release andawaiting an opportunity for expression. One of the ways to indulge the artist within is to get started with the practice of any one or more of the creative art formssuch as music, singing, dancing, acting, drawing, painting, sculpting, poetry, fiction or essay writing. When you engage in such soul nourishing activities, all thought and energy gets focused toward goal accomplishment. At this point, you will find that even unknownforces of the universe are conniving to assist you in your amateurish but sincere attempts. As you progress, you are motivated to do better. You touch and access afaculty, a part of you that you never knew existed. Your inner artist is unleashed, baring the beauty of your soul that has found a fond medium of expression. Forinstance, a sculptors soul is seen in his artwork; a musicians in his compositions; an actors in his acting, a painters in his paintings and so on. It is immaterialwhether your effort is an immaculate artwork or just a clumsy attempt by a layperson. The idea is to try, be inspired and to create giving free rein to the mind. AsMichelangelo remarked: “I saw the angel in the marble and carved until I set him free”! What can you infer from Michelangelos statement - "I saw the angel in the marble and carved until I set him free"?
S1: If you want to do well in your examinations you need to be able to think for yourself which means not just following the guide-books but write what you think yourself.
P: That will not help much.
Q: Few if any students do this.
R: By discussing things with other students, with your teachers, and with any intelligent people you meet you will find you can pick up a lot of new ideas but it is not good first accepting these ideas, swallowing them undigested and then repeating them in the examination.
S: At first you will find it difficult but if you go on trying you will find clear independent thought becomes easier.
S6: If however you turn these ideas over in our mind accepting those which you agree with and fitting them into your stock of knowledge and rejecting the others you may get somewhere.

The Proper sequence should be:
A point z has been plotted in the complex plane, as shown in figure below.
Complex Variable mcq question image
The plot for point $$\frac{1}{{\text{z}}}$$ is
A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given fouralternatives. Just as space permeates everything in the universe, love permeates every part, every aspect of creation. If there is one answer to the question, “How and why doesthis world exist?” the answer, in one word, is Love. Rather, the answer is Pure Love, since the word love has lost its meaning. Your very existence is an expression of pure unconditional love of the Source (you may call it Consciousness, Creator, God, Divine Self). This is the truth of your being.True love transcends both love and hatred. It is unconditional, unquestioning, boundless, unchanging love. It is overflowing love of the Source for the Source throughall of creation. True love is way beyond the personalized love that two or more individuals assert on one another. Personalized love, though apparently selfless, is rooted in desiresand conditional satisfaction. We have been brought up in a society that judges love based on conditions. We have been made to believe that we can receive love only when we fit into peoplesexpectations. If we are not good enough, we will be deprived of love. These beliefs have influenced the collective psyche of families, groups, communities, and societies since generations to such an extent that love has been reduced tofear of denial. We need to shift from the paradigm of false conditional love to the essence of pure unconditional love . The experience of true love comes with surrender of the false I, in letting go of the feeling of separateness. Without this sacrifice, it is not possible to attain divinelove. When this separate I is discarded, you embrace everything in oneness and catch a glimpse of pure love. True love can be experienced only through giving, not by demanding. People who exist in your life are not here to love you. They are here to remind you that you arethe Source of Love. By knowing that you are the Source of love, you can love yourself, instead of waiting to receive love from the world. Ask yourself, “Why do I need an agent to love myself?” Waiting for the world to love you, is like hiring an agent to love yourself! It is time for you to honor yourself as the Source of love. You have undertaken this human journey to realize and express the boundless love that you truly are. What does source refers to in the last line of the second para of the passage?
A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given fouralternatives. Just as space permeates everything in the universe, love permeates every part, every aspect of creation. If there is one answer to the question, “How and why doesthis world exist?” the answer, in one word, is Love. Rather, the answer is Pure Love, since the word love has lost its meaning. Your very existence is an expression of pure unconditional love of the Source (you may call it Consciousness, Creator, God, Divine Self). This is the truth of your being.True love transcends both love and hatred. It is unconditional, unquestioning, boundless, unchanging love. It is overflowing love of the Source for the Source throughall of creation. True love is way beyond the personalized love that two or more individuals assert on one another. Personalized love, though apparently selfless, is rooted in desiresand conditional satisfaction. We have been brought up in a society that judges love based on conditions. We have been made to believe that we can receive love only when we fit into peoplesexpectations. If we are not good enough, we will be deprived of love. These beliefs have influenced the collective psyche of families, groups, communities, and societies since generations to such an extent that love has been reduced tofear of denial. We need to shift from the paradigm of false conditional love to the essence of pure unconditional love . The experience of true love comes with surrender of the false I, in letting go of the feeling of separateness. Without this sacrifice, it is not possible to attain divinelove. When this separate I is discarded, you embrace everything in oneness and catch a glimpse of pure love. True love can be experienced only through giving, not by demanding. People who exist in your life are not here to love you. They are here to remind you that you arethe Source of Love. By knowing that you are the Source of love, you can love yourself, instead of waiting to receive love from the world. Ask yourself, “Why do I need an agent to love myself?” Waiting for the world to love you, is like hiring an agent to love yourself! It is time for you to honor yourself as the Source of love. You have undertaken this human journey to realize and express the boundless love that you truly are. According to the passage, which of the following statement is not TRUE?