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Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
Eight teachers of different departments - English, math, accounts, economics, geography, biology, chemistry and sociology went for a meeting. There are 2 rows. Each row contains 4 teachers. Teachers of biology and chemistry are sitting adjacent to each other. Opposite to chemistry teacher is accounts teacher who is at extreme left end of south face row. Teacher of English department is sitting somewhere in north facing row but not at any extreme end. Math teacher is sitting second to the right of accounts teacher. Economics teacher is not sitting opposite to biology teacher and not adjacent to English teacher. Where is economics department teacher sitting?
8 teachers of different subjects sat around a circular table to discuss the time table for examinations. Chemistry teacher is sitting opposite to History teacher. Economics teacher who is closest to Hindi teacher is sitting in adjacent right of Biology teacher. History and Civics teachers are sitting together whereas Physics and Hindi teachers are sitting farthest from each other. Biology teacher is sitting in between Economics and Chemistry teacher. Who is sitting opposite to English teacher?
$$\eqalign{ & {\text{The}}\,{\text{value}}\,{\text{of}} \cr & \frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}\,\text{is}: \cr} $$
The value of $$\left( {\frac{{0.1 \times 0.1 \times 0.1 + 0.02 \times 0.02 \times 0.02}}{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}} \right)$$       is :
The value of $${\text{ }}\root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} $$        is ?
Which of the following are included in the functions of the National Council for Teacher Education? (i) Conducting examination in teacher education institutions (ii) Making admission of students in teacher education institutions (iii) Determination and maintenance of standards in teacher education (iv) Preventing commercialization of teacher education (v) Recruitment of faculty in teacher education institutions Choose the correct answer from the code given below : 
Which of the following are presage related criteria for teacher evaluation? a) Teacher's personality pattern and motivational disposition b) Teacher's method of providing feedback and follow up action during instruction c) Extent of learning and motivation ensured by the teacher while teaching d) Social competence and self-esteem for a teacher e) Management and mentoring technique employed by the teacher Choose the most appropriate answer from the options given below:
Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts. Based on these statements which of the following conclusions is true?