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The average age of a family having three members is 40 years. The smallest member of the family is 18 years old. The difference between the age of the oldest family member and the age of the second oldest family member is 6 more than the difference between the age of the second oldest member and age of youngest member of the family. Quantity I: 25 years hence, what will be the average of the age of smallest member and that of oldest member of the family? Quantity II: What is the age of the oldest member of the family?   
Consider the following statements regarding types of supports and beams: 1. When both supports of beams are roller supports, the beam is known as simply supported beam. 2. A beam with one end fixed and the other end free is known as fixed beam. 3. A beam with both ends fixed is known as cantilever beam. 4. A beam with one end fixed and the other simply supported is known as propped cantilever. Which of the above statements is/are correct ?
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
“It is a far, far better thing that I do, than I have ever done; it is a far, far better rest that I go to than I have ever known.”
Which of the following statements are true/false?
1. In case an employee whose minimum rate of wages is fixed under this Act, works overtime, the employer need not pay the money for the extra hours devoted by the employee.
2. If an employee whose minimum rate of wages has been fixed under this Act, works for a less number of hours than the requisite number of hours on a given day, he shall be entitled to receive wages in respect ofwork done by him on that day as ifhe had worked for a full normal working day.
3. In case an employee is involved in two or more classes of work, he shall be paid on the basis of pieces involved.
4. If an employee is employed on piece work for which minimum time rate and not a minimum piece rate has been fixed under this Act, the employer shall pay to such employee wages at not less than the minimum time rate.
A class III mathematics teacher gave the following questions to her students:  \(\begin{equation} \frac{ \begin{array}[b]{r} 256 \\ + 173 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 28 \\ + 32 \end{array} }{ } \end{equation}\) \(\begin{equation} \frac{ \begin{array}[b]{r} 129 \\ + 76 \end{array} }{ } \end{equation}\) Later she asks the students to solve a worksheet that has similar questions. Which of the following statements is appropriate for the given situation?
The bending moment of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is ________ at the fixed end.
The shear force of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is _________ at the fixed end.
The effective length of a prismatic compression members in which translation and rotation is restrained at both end is given by (L = unsupported length of the compression member):
The average of the height of the 20 employee of the company is 1.5 m.In the month of June, two employees named Rita and Sumit left the company whose height are 1.4 m and 1.6 m respectively. In August, two more people left the company whose average of height is 1.7 m and one person join the company whose height is 87.5% of height of Sumit. Before the December, more four people left the company whose height are 1.3 m, 1.1 m, 1.32 m and 1.25 m respectively and more 5 people join the company whose height are 1.26 m, 1.18 m, 1.39 m and 1.4 m respectively. The average of height in the month of September is ….