The sum of n natural numbers = (n(n+1))/2
Hence (50(51))/2 = 1275
So, average = 1275/50 = 25.5
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A company bought twice as many small envelopes as large envelopes. It used up 1/13 of the small envelopes and 5/6 of the large envelops. What fraction of the total number was left unused?
Let small envelopes bought=2x
Large envelopes bought=x
Total No. of envelopes bought=x+2 x=3x
Small envelope unused=(12/13)*2 x=24 x/13
Large envelope unused=(1/6)=x/6
Total envelope unused=(24x / 13)+(x / 6)=157x / 78
Fraction of the total envelope unused=(157x / 78)/3
=> x=157/234
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4 thieves enter a bakery and stole bread one after the other. Each one took half of the total number of breads half a loaf. If 3 breads were remaining what is the total number of breads.
Lets assume total bread = x
x(1/2 + 1/4 + 1/8 + 1/16 )+3=x
Therefore x=48
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A printer begins printing forms at 9.33 AM,at the rate of 66 forms per minute ,another printer begins at 9.50 AM ,printing 77 forms per minute .At what time will the two printers have printed the same number of forms?
66*60/t = 77 *60/t+17
6 t+102=7 t
t = 102 i.e 1 hr 42 min => 11:20 a.m.
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8 friends planned to go to hotel for dinner and to share the bill amount equally. If one of them have forget to bring the wallet, then what will be the extra amount contribute by each to pay the bill of Rs.1904 ?
Given that the bill amount = Rs.1904
Actual share of each = Rs.1904/8 = Rs.238
If one of 8 is left, then the sharing amount = Rs.1904/7 = Rs.272
Then the extra amount given by each = Rs.(272 - 238) = Rs.34.
Hence the answer is Rs.34
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