Solution :
A). x = 2 (mod 3)
x = 3 (mod 5)
x = 4 (mod 7)
≡ 53(mod 105)
Hence the solution is 105 k + 53 > 1000 for k = 10
Therefore, the minimum number of students = 1103
B).
By Eulu's theory
if n and 935 are coprime.
Now, and 80 x 8 = 640
⇒ g(n,935) = 1
⇒ 5, 11, 17 do not divide n
Answer:
Number of 1 point shots = 16
Number of 2 point shots = 36
Step-by-step explanation:
Let,
x be the number of 1 point shots
y be the number of 2 point shots
According to given statement;
x + y = 52 Eqn 1
x + 2y = 88 Eqn 2
Subtracting Eqn 1 from Eqn 2
x + 2y - x - y = 88 - 52
y = 36
Putting y = 36 in Eqn 1
x + 36 = 52
x = 52 - 36
x = 16
Hence,
Number of 1 point shots = 16
Number of 2 point shots = 36
Answer:
39 active volcanoes.
Step-by-step explanation:
Subtract 169 (whole) from 130 (part). 9 - 0 = 9, 6 - 3 = 3, and 1 - 1 = 0. Therefore, 169 - 130 = 39
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