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Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): In Gunn effect, when electric field is varied from zero to a threshold value the drift velocity decreases. Reason (R): Beyond the threshold electric field, if the electric field is increased, the drift velocity is decreased and the diode exhibits negative resistance. In the light of the above statement, choose the most appropriate answer from the options given below:
The average of eight batsmen J, K, L, M, N, O, R, and T is compared. The number of batsman having average less than L are same as the number of batsman having average more than M. Average of T is less than M and more than K. Average of L is less than K. Average of two batsman lies between the average of M and L. Average of O is less than N and K both. Which of the following can be the correct sequence of their averages?
In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 ∶ 1. The ratio of the number of electronics engineers and computer engineers becomes 1 ∶ 1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers. (A) The average age (in years) of electronics engineers is 21 (B) The average age (in years) of computer engineers is 21 (C) The average age (in years) of electronics engineers is 23 (D) The average age (in years) of electronics engineers is 25 (E) The average age (in years) of computer engineers is 23 Choose the correct answer from the options given below: 
A force \(\vec F\), acting on a electric charge q, in presence of electro-magnetic field, moves the charge parallel to the magnetic field with velocity \(\vec v\). Then \(\vec F\) is equal to (where \(\vec E\)and \(\vec B\) are electric field and magnetic field respectively)
Consider the following statement: 1. X-ray beam can be deflected by a magnetic field. 2. X-ray beam can be deflected by a electric field. 3. X-ray can neither be deflected by an electric field nor by a magnetic field. Which of the following statement is correct?
The length of a rectangular field F is 3 km greater than the side of a square field M , and the width of field F is 3 km less then the side of field M. If the area of field M is m2 square km, what is the area of field F?
The perimeter of a rectangular field is fourth times of the perimeter of a square field. The ratio of the length of the rectangular field to the side of the square field is 6:1 and the diagonal of the square is 5√2 cm. Then, the area of the square field is what percentage of the area of the rectangular field?
An electric field of 1000 V/m is applied to an electric dipole at angle of 45°. The value of electric dipole moment is 10-29 C-m. What is the potential energy of the electric dipole?
Which of the following is/are true about dipole? (1) The unit of electric dipole moment is coulomb meter (2) The net charge of the electric dipole is zero (3) The net electric field due to an electric dipole is nonzero. (4) Point diploe is the diploe with a small value of the charge.