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There are 200 questions in a 3 h examination. Among 200 questions, 50 are from Mathematics, 100 are from GK and 50 are from Science. Ram spent twice as much time on each Mathematics question as for each other question. How many minutes did he spend on Mathematics questions ?

A 40 kg slab rests on a frictionless floor . A 10 kg block rests on the top of the slab . [Fig. 7.81 (a)] . The coefficients of static and dynamic friction are 0.60 and 0.40 respectively . The 10 kg block is pulled by a horizontal force of 100 N . what are the resulting accelerations of (a) the block (b) the slab ? ( g = 10 m// s^(2) )

For recruiting Management Trainees in an organisation, thefollowingcriteriahavebeenlaiddown. The candidate must: (A) be a first class graduate in Commerce with at least 65% marks. (B) have secured at least 70% marks in SSC. (C) be not more than 26 years and not less than 21 years of age as on 1.8.2007. (D) have secured at least 60% marks in selection test. (E) have secured at least 50% marks in selection interview. However, if a candidate fulfils all the above mentioned criteria EXCEPT- (i) at (A) above but is an Economics graduate with at least 70% marks, the case may be referred to the GM of the organisation. (ii) at (E) above but has secured at least 40% marks in selection interview and at least70% marksin selection test, the case may be referred to the President of the organisation. In each of the questions below, information of one candidate is given. You have to take one of the following five dedsions based on the information provided and the criteria and conditions given above. You are not to assume any thing other than the information provided in each question. All these cases are given to you as on 1.08.2007. You have to indicate your dedsion by marking answers to each question as follows: Radhika has passed BA examination with specialisation in Economics securing 76% marks and first class. She had topped her class in SSC examin~tion with 82% marks. She has completed 24 years of age on 25th May, 2007. She cleared the selection test with 66% marks and the selection interview with 54% marks.

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Out of 100 students who appeared for the SSC examination from a school 15 students in English ; 12 students in Mathematics; 8 students in Sience 7 studens in Mathematics and Science; 4 students in English and Science 6 students in English and Mathematics; 4 students in all the three subjects could get First calss marks. How many of them have got First class marks.(ii) only in Science (i) only in Mathmatics

A fort is at the top of a hill of height h above the sea-level.Prove that the greatest horizontal distance from which a gun in the ship can hit the fort is 2sqrt(k(k-h)) where sqrt(2gk) is the muzzle velocity.

A 40 kg slab rests on a frictionless floor . A 10 kg block rests on top of the slab (Fig . 7. 121). The static coefficient of friction between the block and the slab is 0.60 while the kinetic coefficient is 0.40 . The 10 kg block is acted upon by a horizontal force of 100 N . if g = 9.8 m//s^(2) the resulting acceleration of the slab will be :