In a school, three classes took the same examination.class A contained 30 pupils and the average mark for the class was 66.class B contained 22 pupils and the average mark for the class was 56.class C contained 20 pupils.The average obtained by all the pupils together was 1.5.calculate the average mark of class C.
The average temperature at noon on 14 consecutive days was 26.5 degree centigrade .During these days the lowest temperature was 19.2 degree centigrade and the highest temperature was 40.8 degree centigrade. If on two days the temperature was the same as the average, what was the average temperature for the remaining 10 days?
In some test, three problems, A, B, and C were posed. Among the participants there were 25 who solved at least one problem. Of all the participants
who did not solve problem A, the number who solved problem B was twice the number who solved C. The number who solved only problem A was one
more than the number who solved A and at least one other problem. Of all
participants who solved just one problem, half did not solve problem A. How many solved just problem A?
Can you find a five digit number that, if you place a 9 at the beginning to make a new number, is fours times larger than if you place the 9 at the end instead?
Solution
Let the number is 10000x+1000y+100z+10p+q
now according to the given condition
100000*9+10000x+1000y+100z+10p+q = 100000x+10000y+1000z+100p+10q+9
on solving we get 10000x+1000y+100z+10p+q = (900000-36)/39 = 23076
A rich merchant had collected many gold coins. He did not want anybody to know about them. One day, his wife asked, "How many gold coins do we have?" After pausing a moment, he replied, "Well! If I divide the coins into two unequal numbers, then 37 times the difference between the two numbers equals the difference between the squares of the two numbers." The wife looked puzzled. Can you help the merchant's wife by finding out how many gold coins.
5 sea pirates have 100 gold coins and want to share it. They propose a plan.
The senior most one has to propose an idea, if at least 50 % agree, the coins r shared accordingly. else the senior is killed and the next senior most is asked to present a plan and so on .
note, all the guys r very clever and very greedy and dont want to lose the coins, and dont want to die. Form a way to share the money.