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Consider a nucleus with N neutrons and Z protons. If mp, mn and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by
Among six objects F, G, H, J, K and L :  i. H is twice heavy as K, and J is one and half times as heavy as F.  ii. G is half as heavy as J.  iii. F and J together are less heavy than H.  iv. J and L together are twice as heavy as F.  If the objects are arranged in descending order of their weight, which object will be second from the bottom? 
The difference between the speed along and against the river is 8 km/h and the time taken to cover a journey from initial to final point and return to initial point is 3 hr. What is speed along with the river if the distance between the initial and final Point is 9 km?
In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow (s) for pursuing. Statement: With one year to go for 2019 parliamentary elections, Prime Minister Narendra Modi has stepped in to ensure results can be seen on the ground. The Centre has asked states to focus on impactful and public-private-partnership based smart city projects, which would show results over the next one year and have a review mechanism in place. Ministry of housing and urban affairs, the nodal ministry for Smart Cities Mission has identified 261 impactful ventures worth Rs. 31,000 crore and PPP projects worth Rs. 32,000 crore for the states to work on. Courses of Action: I. The move follows directives from the Prime Minister. During a review of Smart Cities mission last week, PM Modi had emphasized on early implementation of projects and suggested that the chief secretaries of all states should review the progress of the implementation. II. These identified projects account for an investment of Rs. 31,112 crore. The states have also been asked to work on 370 PPP projects that involve an investment of Rs. 32,410 crore The impactful projects identified range from building 40 outdoor fitness centres in New Delhi Municipal Council area at a cost of Rs. 1.31 crore to redevelopment of 340 acre area in Bhopal at a cost of Rs. 3,000 crore.  III. Secretary (housing and urban affairs) D. S. Mishra has written to chief secretaries of states and asked them to focus on the belated implementation of smart city projects that have a visible and transformative impact in the lives of citizens in identified smart cities.
Out of six objects, A, B, C, D, E, and F, D is twice as heavy as B. C's weight is half that of E. B and E together are one and a half times as heavy as A. A is one and a half times as heavy as D. F is one and a half times as heavy as C. Who is the heaviest among them?
P, Q and R invested in a business for 2.5 years, such that P’s initial investment was 60% more than Q’s initial investment, while R’s initial investment was 25% less than P’s initial investment. After 10 months, each of them invested 25% of their initial investment. What part of the total profit will P received after 2.5 years?
The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?
Two statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decided which of the conclusions logically follow(s) from the statements. Statements: Some mobile are instruments, All instruments are heavy items. Conclusion: I. Some mobiles are heavy items. II. No mobile is a heavy item. III. Some heavy items are instruments.
If m, mn and mp are the masses of nucleus, neutron and proton respectively of ZXA nucleus, then:
Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards?