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about to only mathematics

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In a class of 50 students, 35 opted for Mathematics and 37 opted for Biology . How have opted for only Mathematics ? (Assume that each student has to opt for at least one of the subjects )

STATEMENT-1 : Magnetic poles are only mathematical assumptions and have no real existence . and STATEMENT-2 : Magnetic field lines are always in closed loops .

72% of 25 students are good in mathematics. How many are not good in mathematics?

In a school there are 30 teachers who teach Mathematics or Physics. Of these teachers, 20 teach. Mathematics and 15 teach Physics, 5 teach both Mathematics and Physics. The number of teaches teaching only Mathematics is:

In a survey of 25 students, it was found that 12 have taken physics, 11 have taken chemistry and 15 have taken mathematics; 4 have taken physics and chemistry; 9 have taken physics and mathematics; 5 have taken chemistry and mathematics while 3 have taken all the three subjects Find the number of students who have taken (i) physics only (ii) chemistry only; (iui) mathematics only (iv) physics and chemistry but not mathematics; (v) physics and mathematics but not chemistry; (vi) only one of the subjects; (vii) at least one of the three subjects; (vii) none of the three subjects.

Six papers are set in examination,two of them in mathematics: in how many different orders can the papers be given,provided only that the two mathematical papers are not successive?