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Solution: By Fermat's theorem as 24 and 7 are co­primes, remainder of 24^6 mod 7 =1. Hence,24^13 can be split up as 24^6* 24^6* 24 mod 7 = 1*1*3 mod 7 =3. Hence, remainder is 3. How is 24 mod 7 calculated here

Four unique even numbers are arranged in ascending order and the first two are decreased by 50%, while the last two are increased by 50%. If the original sum of the 4 numbers was 162, the new sum can be?
In the solution it is mentioned that the last two numbers must be 4 greater than the first two. Why?

how much percentage from objective test and interview, will be added in final cutoff of joining for IBPS PO?

how much percentage from objective test and interview, will be added in final cutoff of joining ?

i want to know that what specific part or topics one have to cover to score good i gs?

I am basically from commerce field,so I cant understand geometry very well....what should I do to improve geometry?

Manifacha

A student appears for 4 papers-english,math,physics,chemistry.Max Marks for which are in the ratio 1:1:2:2. His marks are in the ratio of4:8:13:15. If he got 80% of the total max marks, in how many papers did he got more than 80%?

Total number of students in classes 4, 5 and 6 are 100. The average scores of students in class 4 and class 6 are 70 and 95 respectively. The average scores of students in class 4 and class 5 combined is 83 and the average scores of students in class 5 and class 6 combined is 87.5. Find the number of students in class 4 if it is given that the average of the scores of the students in all the classes is 84.