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If a + b + c + d = 4, then find the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
Rearrange the given 5 sentences A, B, C, D and E in proper sequence to form a meaningful paragraph and mark the correct sequence from the given options as your answer. Sometimes the task may be too difficult however the strong will power help us to confront all the difficulties and creates a way. Where there is a will there is a way is an old saying in English which means that if we don’t have strong determination and will towards our goal, we cannot work hard and thus cannot achieve success in life. This proverb teaches us that if we are really determined to do something (whether easy or tough), we can do it. Our strong will power to achieve success creates a way of surety to get success.  Our will makes sure that the path becomes easy for us to climb the ladder of success.
Directions : In each of the following questions a statement is given, followed by three conclusions. Give answer : Statement : "Join X-tuition classes for sure success. Excellent teaching by excellent teachers is our strength." - An advertisement. Assumptions : I. Sure success is desirable. II. Students expect sure success when they join any tuition class. III. Just having excellent teachers does not ensure success.
Directions : In each of the following questions a statement is given, followed by three conclusions. Give answer :

Statement : "Join X-tuition classes for sure success. Excellent teaching by excellent teachers is our strength." - An advertisement.

Assumptions :
I. Sure success is desirable.
II. Students expect sure success when they join any tuition class.
III. Just having excellent teachers does not ensure success.
The value of the expression $$\frac{{{{\left( {a - b} \right)}^2}}}{{\left( {b - c} \right)\left( {c - a} \right)}} + $$   $$\frac{{{{\left( {b - c} \right)}^2}}}{{\left( {a - b} \right)\left( {c - a} \right)}} + $$    $$\frac{{{{\left( {c - a} \right)}^2}}}{{\left( {a - b} \right)\left( {b - c} \right)}}$$   = ?
The Hamiltonian of a particle is given by $$H = \frac{{{p^2}}}{{2m}} + V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right) + \phi \left( { + \left| {\overrightarrow {\bf{r}} } \right|} \right)\overrightarrow {\bf{L}} .\overrightarrow {\bf{S}} ,$$        where $$\overrightarrow {\bf{S}} $$ is the spin, $$V\left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  and $$\phi \left( {\left| {\overrightarrow {\bf{r}} } \right|} \right)$$  are potential functions and $$\overrightarrow {\bf{L}} \left( { = \overrightarrow {\bf{r}} \times \overrightarrow {\bf{p}} } \right)$$   is the angular momentum. The Hamiltonian does not commute with
$$\frac{{{{\left( {4.53 - 3.07} \right)}^2}}}{{\left( {3.07 - 2.15} \right)\left( {2.15 - 4.53} \right)}} + \, $$     $$\frac{{{{\left( {3.07 - 2.15} \right)}^2}}}{{\left( {2.15 - 4.53} \right)\left( {4.53 - 3.07} \right)}} + \,\, $$     $$\frac{{{{\left( {2.15 - 4.53} \right)}^2}}}{{\left( {4.53 - 3.07} \right)\left( {3.07 - 2.15} \right)}}$$     is simplified to :
There are blank spaces in the following passage which have been numbered . These numbers are printed below the passage and against each some words are suggested . Find out the word that best fit the blank spaces. Global Strategies to control infective disease have historically included the erection of barriers to international travel and ___ (24) _______. Keeping people with such deadly disease outside national borders has ___ (25) _______ as an important public health policy in the human immunodeficiency virus (HIV) epidemic . Betwwn 29 and 50 countries ___ (26) _____ to have introduced border restrictions on HIV _ positive foreigners ,usually those planning an ___ (27) ___ stay in the country , such as students , workers or seamen.
In the question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follow beyond a reasonable doubt from the information given in the statement. Statement: Wearing red makes a person look attractive and confident. Conclusion:         I. Confident people wear red. II. Red enhances a person’s appearance.