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Find the remainder when 7^103 is divided by 24 Solution) we know by the concept of mod that..... 49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is divisible by 24) so 7^2congruent to 1 mod 24 so 7^102congruent to 1 mod 24(raising to the power 51) hence the remainder when 7^102 is divided by 24 is 1 i.e. 7^102=24m+1 so multipling by 7 both sides we have....7^103=24.7m+ 7hence 7^103=24n + 7so remainder is 7 (ans)
Millie purchased six bottles of soda at $1.15 each. How much did she pay? To ?nd out the total cost of six bottles, you must multiply the cost per bottle through 6; $1.15 × 6 =
Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes Question 2 An insurance compan
if ab=25 . a(5,x)and b(2,5) . find x.
in a given figure a,b,c and d are points on a circle such that ABC =40 and DAB= 60 find the measure of DBA
Solve the subsequent IVP Y'' - 9 y = 0, y(0) = 2, y'(0) = -1 Solution First, the two functions y (t ) = e 3t and y(t ) = e -3t That is "nice enough" for us to
what is a liter
how does it work?
The law of cosines can only be applied to acute triangles. Is this true or false?
By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
(1) If the coefficient of friction between a box and the bed of a truck is m , What is the maximum acceleration with which the truck can climb a hill, making an angle q with the ho
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