The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?
An elephant fell into a wall of depth 20mts.Everyday it climbs 4mts but at the end falls by 2mts.Find the number of days it would take for the elephant to get out of the wall
Solution: Net displacement of the elephant per day= 4-2=2mtr.
So if he climbs 8 days then he will cover 16m
On the 9th day when he will climb 4m then he will be out of the well.
Hence answer is 9 days.
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In a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1/2. Find the fraction?
In a 2 digit no unit's place is halved and tens place is doubled. The differencce between the nos is 37.digit in unit's place is 2 more than tens place.
Lets assume tenth place digit be x & unit place be y.
So no. is = 10x + y.
Given unit place is halved and tens place is doubled.
so number will be = (10*2x + y/2).
By solving above 2 eq.
x=4 and y=6.
So required number is 46.
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A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit?
Let the digit unknown be n.
The given number is then 900+50+n=950+n.
When reversed the new number is 100n+50+9=59+100n.
Subtracting these two numbers we get 891-99n.
The digit can be arranged in 3 ways or 6 ways.
We have already investigated 2 of these ways.
We can now try one of the remaining 4 ways. One of these is n 95
100*n+90+5=891-99*n
=> 199*n =796
=> n=4
So the other digit is 4.
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