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One week a certain truck rental lot had a total of which [#permalink]
30 Aug 2004, 04:31

1.One week a certain truck rental lot had a total of which were on the lot on Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
a.18
b.16
c.12
d.8
e.4
2. 1,234+ 1,243+ 1,324+..........+ 4,321
the addition problem above shows four of the 24 differents integers that can be formed by using each of the digits 1,2,3 and 4 exactly once in each integer. What is the sum of these 24 integers?
a.24,000
b.26,664
c.40,440
d.60,000
e.66,660
I couldn't work out the problems above. anyone could help me? thank you very much.

a number must be lacking in your copy. Trucks number in the lot on Saturday morning is equal to non rented trucks+rented and in trucks = 12
and we know that rented and in trucks = rented and still out trucks
we need something to assess the non rented trucks number.

Question 2 :
Answer is 66660

Among these 24 numbers each digit takes place in the same cluster only 6 times.
The base number is equal to 1*1+1*10+1*100+1*1000=1111
Answer is 6*1111*(1+2+3+4) = 60*1111

For 1 I agree with fs75008: we need the number of non-rented trucks...

For 2 I also get E. My reasoning:

Each digit of the sum of the 24 combinations is the sum of all combinations: For each value (1, 2, 3, 4) of the digit there are 6 combinations:
value of units digit = 1*6 + 2*6 + 3*6 + 4*6 = 60

For the units: 0 and 6 to be added to the tens digit
For the tens: 60+6, therefore 6 for the tens digit of the sum and 6 to be added to the hundreds digit
For the hundreds: 60+6, therefore 6 for the hundreds digit and 6 to be added to the thousands.
For the thousands: 60+6 again.

a number must be lacking in your copy. Trucks number in the lot on Saturday morning is equal to non rented trucks+rented and in trucks = 12 and we know that rented and in trucks = rented and still out trucks we need something to assess the non rented trucks number.

Question 2 : Answer is 66660

Among these 24 numbers each digit takes place in the same cluster only 6 times. The base number is equal to 1*1+1*10+1*100+1*1000=1111 Answer is 6*1111*(1+2+3+4) = 60*1111

For 1 I agree with fs75008: we need the number of non-rented trucks...

For 2 I also get E. My reasoning:

Each digit of the sum of the 24 combinations is the sum of all combinations: For each value (1, 2, 3, 4) of the digit there are 6 combinations: value of units digit = 1*6 + 2*6 + 3*6 + 4*6 = 60

For the units: 0 and 6 to be added to the tens digit For the tens: 60+6, therefore 6 for the tens digit of the sum and 6 to be added to the hundreds digit For the hundreds: 60+6, therefore 6 for the hundreds digit and 6 to be added to the thousands. For the thousands: 60+6 again.