LCM of 2,4,6,8,10,12 is 120 Thus bells will toll together after interval of 120 seconds i.e 2 minutes Thus in 30 minutes = 15 times But 1 time whey they all commence together Thus total = 15+1

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total distance = 200+100 = 300 Relative speed = 72-54 = 18 kmph = 5 m/s Time taken to overtake = 300/5 = 60 sec or 1 minute

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M+N J+V V+M TW DAYS 24 30 40 120 EFF 5 4 3 Total efficiency =( 5+4+3 )/2 Time taken = 120/6 = 20days

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check by options d will satisfy both the equation i.e cheque is quoted as 31 rs and 63 ps the man will receive 63 rs and 31 ps and after giving to the begger he is left with 63 Rs and 26 ps hence this amount is double of 31 Rs and 63 ps

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let the last thief have not stolen the 1/2loaf , then remaining loaves in bakery = ½ And before his stealing there must be = 1 loaf ( because he had stolen half of the number of loaves) Similarly let the 2nd last thief had not stolen ½ loaf , thus now the number of loaves in bakery = 1.5 Before his stealing there must be = 3 loaves Proceding In the same way We get 3.5 and 7 Then 7.5 and 15 Then 15.5 and 31 Thus 31 Ans ( we have done the procedure 5 times)

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