1. Excluding stoppages , the speed of the bus is 54 km/hr and including stoppages , it is 45 km/hr . For how many minutes does the bus stop per hour ?
Answer:
Explanation:in 10 minutes bus cover 9 km. so without stoppage it will cover 54 km. and with stoppage of 10 minutes it will cover only 45 km.
(x/60)*54 = 45.
x = 50. means to cover 45 km. bus will take 50 minutes and 10 minutes for rest
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2. How many six digit phone numbers can you frame using the digits from 0 to 9 if a condition restricts you to start the number with 35 and another condition restricts you from using any digit more than once?
Answer:
Explanation:It's a permutation question.
there are totally 10 numbers and in which 3 and 5 are already fixed as first two digits.
hence total numbers n=8
and the remaining digits which are needed to be formed its 4 digits apart from the first two digits already formed in the 6 digit phone number.
so r=4
permutation formula npr=n!/(n-r)!
=8!/4!
=8*7*6*5*4*3*2*1/4*3*2*1
=8*7*6*5
=1680
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