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Atoms and Molecules

Let S = (a,b)...

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Let S = {(a,b):a,bZ,0a,b18}. The number of elements (x,y) in S such that 3x + 4y + 5 is divisible by 19 is : (A) 38(B) 19(C) 18(D) 1

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Similar questions

S = {(a, b) : a, b ϵ Z, 0 \leq a, b \leq 18}

. The number of elements

(x, y)

3 x + 4 y + 5

is divisible by

19

?

S = {(a, b) : a, b ϵ Z, 0 \leq a, b \leq 18}

. The number of elements

(x, y)

S

3 x + 4 y + 5

19

S = {1, 2, 3, . . . ., 40}

A

S

such that no two elements in

A

have their sum divisible by

5

. What is the maximum number of elements possible in

A

?

S = {1, 2, 3, . . ., 40}

and let A be a subset of such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?

Q. Given that the real numbers

s, t

19 s^{2} + 99 s + 1 = 0, t^{2} + 99 t + 19 = 0

s t \neq 1

, then the absolute value of

\frac{s t + 4 s + 1}{t}

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