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Consider the following statements: 1. If x is directly proportional to z and y is directly proportional to z, then (x2 - y2) is directly proportional to z2. 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z2. Which of the above statements is/are correct?
The average grain size of the bed material is 0.16 mm for medium silt, Lacey’s silt factor is likely to be _______
How is the degree of emulsion polymerization related to the monomer concentration, and the rate of radical generation, Ri? , inversely proportional to Ri b) inversely proportional to Ri, directly proportional to . c) directly proportional to Ri, independent of . d) directly proportional to , independent of Ri
A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force Fsinωt. If the amplitude of the particle is maximum for ω=ω1 and the energy of the particle maximum for ω=ω2, then?
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)?
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: 
Which of the following statements are true with regards to the selection of a sample size? (i) The sample size (n) may be a fixed percentage of lot size (N). (ii) The sample size (n) may be kept constant irrespective of lot size (N). (iii) Sample size (n) can be selected at the personal whim of the inspector.
Consider the following statement for a ball falling in a viscous fluid: a) The viscous force is directly proportional to the radius of the ball b) The viscous force is directly proportional to the velocity of the ball c) The viscous force is inversely proportional to the radius of the ball d) The viscous force is inversely proportional to the velocity of the ball Which of the above statements are correct?
একটি কণা t = 0 সময়ে স্থির অবস্থা থেকে যাত্রা শুরু করে। কণাটির ওপর প্রযুক্ত লব্ধি বল, সময় t এর সমানুপাতিক। কণাটির গতিশক্তি নিচের কোনটির সমানুপাতিক হবে? (A particle starts from rest at t = 0. The net force acting on the particle is proportional to time t. Its kinetic energy is proportional to which one of the following?)