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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)
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Marvin is helping his teachers plan a ?eld trip. There are 125 people going on the ?eld trip and each school bus holds 48 people. What is the minimum number of school buses they wi
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Construct the finite automaton for the state transition table given below. Ans: The finite automata is displayed below. The initial state is marked along with arrow sign a
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Q4. Assume that the distance that a car runs on one liter of petrol varies inversely as the square of the speed at which it is driven. It gives a run of 25km per liter at a speed o
for what k, q.p. kx2-8x+k can be factored into real linear factors. kx2-8x+k
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Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n
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